TSTP Solution File: LAT252-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT252-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n012.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 17:22:11 EDT 2024
% Result : Unsatisfiable 27.75s 27.97s
% Output : Proof 27.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT252-1 : TPTP v8.2.0. Released v3.1.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n012.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 13:50:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.41/15.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.48/20.69 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.51/25.71 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.75/27.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.KjdhMMcwSw/cvc5---1.0.5_31708.smt2
% 27.75/27.97 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.KjdhMMcwSw/cvc5---1.0.5_31708.smt2
% 27.87/28.14 (assume a0 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))
% 27.87/28.14 (assume a1 (forall ((X $$unsorted)) (= (tptp.join X X) X)))
% 27.87/28.14 (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))
% 27.87/28.14 (assume a3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))
% 27.87/28.14 (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.87/28.14 (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.87/28.14 (assume a6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.87/28.14 (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 27.87/28.14 (assume a8 (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one)))
% 27.87/28.14 (assume a9 (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero)))
% 27.87/28.14 (assume a10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y))))
% 27.87/28.14 (assume a11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))))
% 27.87/28.14 (assume a12 (= (tptp.meet tptp.b tptp.a) tptp.a))
% 27.87/28.14 (assume a13 (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.complement tptp.a))))
% 27.87/28.14 (step t1 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule and_neg)
% 27.87/28.14 (step t2 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule implies_neg1)
% 27.87/28.14 (anchor :step t3)
% 27.87/28.14 (assume t3.a0 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.14 (assume t3.a1 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.a2 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.a3 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.a4 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.a5 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.a6 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 27.87/28.14 (assume t3.a7 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.14 (assume t3.a8 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.87/28.14 (assume t3.a9 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.87/28.14 (assume t3.a10 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.87/28.14 (assume t3.a11 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.a12 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.87/28.14 (assume t3.a13 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.87/28.14 (assume t3.a14 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))
% 27.87/28.14 (assume t3.a15 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.87/28.14 (assume t3.a16 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.87/28.14 (assume t3.a17 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.87/28.14 (assume t3.a18 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.87/28.14 (assume t3.a19 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))
% 27.87/28.14 (assume t3.a20 (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))
% 27.87/28.14 (assume t3.a21 (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))
% 27.87/28.14 (assume t3.a22 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.a23 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.a24 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.87/28.14 (assume t3.a25 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))
% 27.87/28.14 (assume t3.a26 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))
% 27.87/28.14 (assume t3.a27 (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.a28 (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))
% 27.87/28.14 (step t3.t1 (cl (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies_neg1)
% 27.87/28.14 (anchor :step t3.t2)
% 27.87/28.14 (assume t3.t2.a0 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.t2.a1 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.14 (assume t3.t2.a2 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))
% 27.87/28.14 (assume t3.t2.a3 (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.t2.a4 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))
% 27.87/28.14 (assume t3.t2.a5 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.87/28.14 (assume t3.t2.a6 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.87/28.14 (assume t3.t2.a7 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.t2.a8 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.t2.a9 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.87/28.14 (assume t3.t2.a10 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.87/28.14 (assume t3.t2.a11 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))
% 27.87/28.14 (assume t3.t2.a12 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.87/28.14 (assume t3.t2.a13 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.87/28.14 (assume t3.t2.a14 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.14 (assume t3.t2.a15 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.t2.a16 (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))
% 27.87/28.14 (assume t3.t2.a17 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.t2.a18 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 27.87/28.14 (assume t3.t2.a19 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.87/28.14 (assume t3.t2.a20 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.87/28.14 (assume t3.t2.a21 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.t2.a22 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.87/28.14 (assume t3.t2.a23 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))
% 27.87/28.14 (assume t3.t2.a24 (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))
% 27.87/28.14 (assume t3.t2.a25 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.87/28.14 (assume t3.t2.a26 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.87/28.14 (assume t3.t2.a27 (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))
% 27.87/28.14 (assume t3.t2.a28 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.87/28.14 (step t3.t2.t1 (cl (= (tptp.complement tptp.a) (tptp.complement tptp.a))) :rule refl)
% 27.87/28.14 (step t3.t2.t2 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule refl)
% 27.87/28.14 (step t3.t2.t3 (cl (= (tptp.complement tptp.b) (tptp.complement tptp.b))) :rule refl)
% 27.87/28.14 (step t3.t2.t4 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.a0))
% 27.87/28.14 (step t3.t2.t5 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t3.t2.t3 t3.t2.t4))
% 27.87/28.14 (step t3.t2.t6 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t3.t2.a1))
% 27.87/28.14 (step t3.t2.t7 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.complement tptp.b))) :rule trans :premises (t3.t2.t5 t3.t2.t6))
% 27.87/28.14 (step t3.t2.t8 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t1 t3.t2.t7))
% 27.87/28.14 (step t3.t2.t9 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule symm :premises (t3.t2.t8))
% 27.87/28.14 (step t3.t2.t10 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule trans :premises (t3.t2.a0 t3.t2.t9))
% 27.87/28.14 (step t3.t2.t11 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule cong :premises (t3.t2.t3 t3.t2.t10))
% 27.87/28.14 (step t3.t2.t12 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule trans :premises (t3.t2.a1 t3.t2.t11))
% 27.87/28.14 (step t3.t2.t13 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t3.t2.t3 t3.t2.t12))
% 27.87/28.14 (step t3.t2.t14 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t3.t2.t3 t3.t2.t11))
% 27.87/28.14 (step t3.t2.t15 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t3.t2.t14))
% 27.87/28.14 (step t3.t2.t16 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t3.t2.t13 t3.t2.t15))
% 27.87/28.14 (step t3.t2.t17 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t3.t2.t1 t3.t2.t16))
% 27.87/28.14 (step t3.t2.t18 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t3.t2.t1 t3.t2.t14))
% 27.87/28.14 (step t3.t2.t19 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule trans :premises (t3.t2.t17 t3.t2.t18))
% 27.87/28.14 (step t3.t2.t20 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule cong :premises (t3.t2.t1 t3.t2.t19))
% 27.87/28.14 (step t3.t2.t21 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.complement tptp.b))) :rule symm :premises (t3.t2.a12))
% 27.87/28.14 (step t3.t2.t22 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t3.t2.t21))
% 27.87/28.14 (step t3.t2.t23 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t3.t2.t1 t3.t2.t22))
% 27.87/28.14 (step t3.t2.t24 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.t23))
% 27.87/28.14 (step t3.t2.t25 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule trans :premises (t3.t2.t17 t3.t2.t24))
% 27.87/28.14 (step t3.t2.t26 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.a15))
% 27.87/28.14 (step t3.t2.t27 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t3.t2.t17 t3.t2.t24 t3.t2.t26))
% 27.87/28.14 (step t3.t2.t28 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t3.t2.t3 t3.t2.t27))
% 27.87/28.14 (step t3.t2.t29 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t3.t2.a14))
% 27.87/28.14 (step t3.t2.t30 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) :rule trans :premises (t3.t2.t28 t3.t2.t29))
% 27.87/28.14 (step t3.t2.t31 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t1 t3.t2.t30))
% 27.87/28.14 (step t3.t2.t32 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t17))
% 27.87/28.14 (step t3.t2.t33 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule trans :premises (t3.t2.t31 t3.t2.t23 t3.t2.t32))
% 27.87/28.14 (step t3.t2.t34 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule cong :premises (t3.t2.t3 t3.t2.t33))
% 27.87/28.14 (step t3.t2.t35 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule cong :premises (t3.t2.t25 t3.t2.t34))
% 27.87/28.14 (step t3.t2.t36 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule symm :premises (t3.t2.a16))
% 27.87/28.14 (step t3.t2.t37 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule symm :premises (t3.t2.t36))
% 27.87/28.14 (step t3.t2.t38 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule trans :premises (t3.t2.t28 t3.t2.t29 t3.t2.t22 t3.t2.t14))
% 27.87/28.14 (step t3.t2.t39 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t3.t2.t3 t3.t2.t38))
% 27.87/28.14 (step t3.t2.t40 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.complement tptp.b))) :rule symm :premises (t3.t2.a13))
% 27.87/28.14 (step t3.t2.t41 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.complement tptp.b))) :rule trans :premises (t3.t2.t39 t3.t2.t40))
% 27.87/28.14 (step t3.t2.t42 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t1 t3.t2.t41))
% 27.87/28.14 (step t3.t2.t43 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule trans :premises (t3.t2.t35 t3.t2.t37 t3.t2.t42 t3.t2.t23 t3.t2.t18))
% 27.87/28.14 (step t3.t2.t44 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule cong :premises (t3.t2.t1 t3.t2.t43))
% 27.87/28.14 (step t3.t2.t45 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule symm :premises (t3.t2.t44))
% 27.87/28.14 (step t3.t2.t46 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule symm :premises (t3.t2.t42))
% 27.87/28.14 (step t3.t2.t47 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule symm :premises (t3.t2.t35))
% 27.87/28.14 (step t3.t2.t48 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule trans :premises (t3.t2.t17 t3.t2.t24 t3.t2.t46 t3.t2.t36 t3.t2.t47))
% 27.87/28.14 (step t3.t2.t49 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t48 t3.t2.t1))
% 27.87/28.14 (step t3.t2.t50 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.t49))
% 27.87/28.14 (step t3.t2.t51 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule refl)
% 27.87/28.14 (step t3.t2.t52 (cl (= tptp.b tptp.b)) :rule refl)
% 27.87/28.14 (step t3.t2.t53 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.a6))
% 27.87/28.14 (step t3.t2.t54 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule symm :premises (t3.t2.t53))
% 27.87/28.14 (step t3.t2.t55 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t3.t2.a5))
% 27.87/28.14 (step t3.t2.t56 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t55))
% 27.87/28.14 (step t3.t2.t57 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule cong :premises (t3.t2.t3 t3.t2.t56))
% 27.87/28.14 (step t3.t2.t58 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule trans :premises (t3.t2.t54 t3.t2.t57))
% 27.87/28.14 (step t3.t2.t59 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t58 t3.t2.t1))
% 27.87/28.14 (step t3.t2.t60 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule symm :premises (t3.t2.a26))
% 27.87/28.14 (step t3.t2.t61 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.a9))
% 27.87/28.14 (step t3.t2.t62 (cl (= (tptp.meet tptp.a (tptp.complement tptp.a)) tptp.zero)) :rule symm :premises (t3.t2.a8))
% 27.87/28.14 (step t3.t2.t63 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.zero)) :rule symm :premises (t3.t2.a7))
% 27.87/28.14 (step t3.t2.t64 (cl (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.t63))
% 27.87/28.14 (step t3.t2.t65 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule trans :premises (t3.t2.t61 t3.t2.t62 t3.t2.t64 t3.t2.t54 t3.t2.t57))
% 27.87/28.14 (step t3.t2.t66 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule cong :premises (t3.t2.t1 t3.t2.t65))
% 27.87/28.14 (step t3.t2.t67 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t3.t2.t66))
% 27.87/28.14 (step t3.t2.t68 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a10))
% 27.87/28.14 (step t3.t2.t69 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t59 t3.t2.t60 t3.t2.t67 t3.t2.t68))
% 27.87/28.14 (step t3.t2.t70 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.a1 t3.t2.t69))
% 27.87/28.14 (step t3.t2.t71 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a25))
% 27.87/28.14 (step t3.t2.t72 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule symm :premises (t3.t2.t71))
% 27.87/28.14 (step t3.t2.t73 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t52 t3.t2.t6))
% 27.87/28.14 (step t3.t2.t74 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) tptp.one)) :rule symm :premises (t3.t2.a22))
% 27.87/28.14 (step t3.t2.t75 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) tptp.one)) :rule symm :premises (t3.t2.a21))
% 27.87/28.14 (step t3.t2.t76 (cl (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.t75))
% 27.87/28.14 (step t3.t2.t77 (cl (= (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.a20))
% 27.87/28.14 (step t3.t2.t78 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule symm :premises (t3.t2.t77))
% 27.87/28.14 (step t3.t2.t79 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule trans :premises (t3.t2.t73 t3.t2.t74 t3.t2.t76 t3.t2.t78))
% 27.87/28.14 (step t3.t2.t80 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule cong :premises (t3.t2.t1 t3.t2.t79))
% 27.87/28.14 (step t3.t2.t81 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a19))
% 27.87/28.14 (step t3.t2.t82 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t80 t3.t2.t81))
% 27.87/28.14 (step t3.t2.t83 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t1 t3.t2.t82))
% 27.87/28.14 (step t3.t2.t84 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))) :rule trans :premises (t3.t2.t72 t3.t2.t83))
% 27.87/28.14 (step t3.t2.t85 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule cong :premises (t3.t2.t6 t3.t2.t84))
% 27.87/28.14 (step t3.t2.t86 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule trans :premises (t3.t2.t70 t3.t2.t85))
% 27.87/28.14 (step t3.t2.t87 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))) :rule cong :premises (t3.t2.t52 t3.t2.t86))
% 27.87/28.14 (step t3.t2.t88 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))) :rule cong :premises (t3.t2.t1 t3.t2.t87))
% 27.87/28.14 (step t3.t2.t89 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) :rule cong :premises (t3.t2.t3 t3.t2.t88))
% 27.87/28.14 (step t3.t2.t90 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule cong :premises (t3.t2.t1 t3.t2.t89))
% 27.87/28.14 (step t3.t2.t91 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))))) :rule symm :premises (t3.t2.a24))
% 27.87/28.14 (step t3.t2.t92 (cl (= (tptp.join (tptp.complement tptp.b) tptp.b) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.a23))
% 27.87/28.14 (step t3.t2.t93 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t3.t2.t73))
% 27.87/28.14 (step t3.t2.t94 (cl (= (tptp.join (tptp.complement tptp.b) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t3.t2.t92 t3.t2.t93))
% 27.87/28.14 (step t3.t2.t95 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t3.t2.t1 t3.t2.t94))
% 27.87/28.14 (step t3.t2.t96 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t5))
% 27.87/28.14 (step t3.t2.t97 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule cong :premises (t3.t2.t1 t3.t2.t96))
% 27.87/28.14 (step t3.t2.t98 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule trans :premises (t3.t2.t97 t3.t2.t8))
% 27.87/28.14 (step t3.t2.t99 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule cong :premises (t3.t2.t1 t3.t2.t98))
% 27.87/28.14 (step t3.t2.t100 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule symm :premises (t3.t2.t99))
% 27.87/28.14 (step t3.t2.t101 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule trans :premises (t3.t2.t95 t3.t2.t80 t3.t2.t81 t3.t2.a18 t3.t2.t100))
% 27.87/28.14 (step t3.t2.t102 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule cong :premises (t3.t2.t3 t3.t2.t101))
% 27.87/28.14 (step t3.t2.t103 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a18))
% 27.87/28.14 (step t3.t2.t104 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t99 t3.t2.t103))
% 27.87/28.14 (step t3.t2.t105 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t3 t3.t2.t104))
% 27.87/28.14 (step t3.t2.t106 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t3.t2.t97))
% 27.87/28.14 (step t3.t2.t107 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t3.t2.t102 t3.t2.t105 t3.t2.a0 t3.t2.t9 t3.t2.t106))
% 27.87/28.14 (step t3.t2.t108 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t3.t2.t1 t3.t2.t107))
% 27.87/28.14 (step t3.t2.t109 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t90 t3.t2.t91 t3.t2.t108 t3.t2.t99 t3.t2.t103))
% 27.87/28.14 (step t3.t2.t110 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t51 t3.t2.t109))
% 27.87/28.14 (step t3.t2.t111 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) :rule symm :premises (t3.t2.t110))
% 27.87/28.14 (step t3.t2.t112 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) :rule trans :premises (t3.t2.t20 t3.t2.t45 t3.t2.a17 t3.t2.t50 t3.t2.t111))
% 27.87/28.14 (step t3.t2.t113 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule symm :premises (t3.t2.t112))
% 27.87/28.14 (step t3.t2.t114 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule cong :premises (t3.t2.t2 t3.t2.t113))
% 27.87/28.14 (step t3.t2.t115 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) :rule cong :premises (t3.t2.a3 t3.t2.t112))
% 27.87/28.14 (step t3.t2.t116 (cl (= (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) :rule symm :premises (t3.t2.a27))
% 27.87/28.14 (step t3.t2.t117 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule symm :premises (t3.t2.t116))
% 27.87/28.14 (step t3.t2.t118 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule refl)
% 27.87/28.14 (step t3.t2.t119 (cl (= (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule symm :premises (t3.t2.a17))
% 27.87/28.14 (step t3.t2.t120 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a11))
% 27.87/28.14 (step t3.t2.t121 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t3.t2.t68))
% 27.87/28.14 (step t3.t2.t122 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule cong :premises (t3.t2.t1 t3.t2.t58))
% 27.87/28.14 (step t3.t2.t123 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.complement tptp.a) (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t122))
% 27.87/28.14 (step t3.t2.t124 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (tptp.join (tptp.complement tptp.a) (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule trans :premises (t3.t2.t110 t3.t2.t49 t3.t2.t119 t3.t2.t44 t3.t2.t120 t3.t2.t121 t3.t2.t66 t3.t2.t123))
% 27.87/28.14 (step t3.t2.t125 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule cong :premises (t3.t2.t1 t3.t2.t124))
% 27.87/28.14 (step t3.t2.t126 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule cong :premises (t3.t2.t1 t3.t2.t122))
% 27.87/28.14 (step t3.t2.t127 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a4))
% 27.87/28.14 (step t3.t2.t128 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t125 t3.t2.t126 t3.t2.t127))
% 27.87/28.14 (step t3.t2.t129 (cl (= (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t118 t3.t2.t128))
% 27.87/28.14 (step t3.t2.t130 (cl (= (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule symm :premises (t3.t2.a3))
% 27.87/28.14 (step t3.t2.t131 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule trans :premises (t3.t2.t114 t3.t2.t115 t3.t2.t117 t3.t2.t129 t3.t2.t130))
% 27.87/28.14 (step t3.t2.t132 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule cong :premises (t3.t2.t1 t3.t2.t131))
% 27.87/28.14 (step t3.t2.t133 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a2))
% 27.87/28.14 (step t3.t2.t134 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t132 t3.t2.t133))
% 27.87/28.14 (step t3.t2.t135 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule symm :premises (t3.t2.t134))
% 27.87/28.14 (step t3.t2.t136 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule symm :premises (t3.t2.t18))
% 27.87/28.14 (step t3.t2.t137 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.a1 t3.t2.t1))
% 27.87/28.14 (step t3.t2.t138 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule symm :premises (t3.t2.t70))
% 27.87/28.14 (step t3.t2.t139 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t3.t2.a28))
% 27.87/28.14 (step t3.t2.t140 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.complement tptp.b))) :rule trans :premises (t3.t2.t136 t3.t2.t24 t3.t2.t26 t3.t2.t137 t3.t2.t138 t3.t2.t139))
% 27.87/28.14 (step t3.t2.t141 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (tptp.join (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t135 t3.t2.t140))
% 27.87/28.14 (step t3.t2.t142 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t7))
% 27.87/28.14 (step t3.t2.t143 (cl (= (tptp.join (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule cong :premises (t3.t2.t134 t3.t2.t142))
% 27.87/28.14 (step t3.t2.t144 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t3.t2.a11 t3.t2.t141 t3.t2.t143 t3.t2.t8 t3.t2.t4))
% 27.87/28.14 (step t3.t2 (cl (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :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))
% 27.87/28.14 (step t3.t3 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.14 (step t3.t4 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.14 (step t3.t5 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.87/28.14 (step t3.t6 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t7 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule and_pos)
% 27.87/28.14 (step t3.t8 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.87/28.14 (step t3.t9 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.87/28.14 (step t3.t10 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.14 (step t3.t11 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t12 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.87/28.14 (step t3.t13 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t14 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule and_pos)
% 27.87/28.14 (step t3.t15 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.87/28.14 (step t3.t16 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.87/28.14 (step t3.t17 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.14 (step t3.t18 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.14 (step t3.t19 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule and_pos)
% 27.87/28.14 (step t3.t20 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t21 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 27.87/28.14 (step t3.t22 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t23 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.87/28.14 (step t3.t24 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t25 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.14 (step t3.t26 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.87/28.14 (step t3.t27 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule and_pos)
% 27.87/28.14 (step t3.t28 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.87/28.14 (step t3.t29 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.14 (step t3.t30 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule and_pos)
% 27.87/28.14 (step t3.t31 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.14 (step t3.t32 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :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))
% 27.87/28.14 (step t3.t33 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule reordering :premises (t3.t32))
% 27.87/28.15 (step t3.t34 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule contraction :premises (t3.t33))
% 27.87/28.15 (step t3.t35 (cl (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t3.t1 t3.t34))
% 27.87/28.15 (step t3.t36 (cl (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.87/28.15 (step t3.t37 (cl (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t3.t35 t3.t36))
% 27.87/28.15 (step t3.t38 (cl (=> (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule contraction :premises (t3.t37))
% 27.87/28.15 (step t3.t39 (cl (not (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule implies :premises (t3.t38))
% 27.87/28.15 (step t3.t40 (cl (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule and_neg)
% 27.87/28.15 (step t3.t41 (cl (and (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t3.t40 t3.a1 t3.a0 t3.a26 t3.a27 t3.a25 t3.a9 t3.a12 t3.a4 t3.a5 t3.a10 t3.a18 t3.a19 t3.a8 t3.a15 t3.a7 t3.a11 t3.a20 t3.a23 t3.a6 t3.a16 t3.a13 t3.a3 t3.a2 t3.a14 t3.a21 t3.a17 t3.a22 t3.a28 t3.a24))
% 27.87/28.15 (step t3.t42 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t3.t39 t3.t41))
% 27.87/28.15 (step t3 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8 t3.a9 t3.a10 t3.a11 t3.a12 t3.a13 t3.a14 t3.a15 t3.a16 t3.a17 t3.a18 t3.a19 t3.a20 t3.a21 t3.a22 t3.a23 t3.a24 t3.a25 t3.a26 t3.a27 t3.a28))
% 27.87/28.15 (step t4 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.15 (step t5 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.15 (step t6 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.15 (step t7 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t8 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.15 (step t9 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t10 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 27.87/28.15 (step t11 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.15 (step t12 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.87/28.15 (step t13 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.87/28.15 (step t14 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.87/28.15 (step t15 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.87/28.15 (step t16 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.87/28.15 (step t17 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.87/28.15 (step t18 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.87/28.15 (step t19 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.87/28.15 (step t20 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t21 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.87/28.15 (step t22 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t23 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule and_pos)
% 27.87/28.15 (step t24 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule and_pos)
% 27.87/28.15 (step t25 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule and_pos)
% 27.87/28.15 (step t26 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t27 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t28 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.15 (step t29 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule and_pos)
% 27.87/28.15 (step t30 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.87/28.15 (step t31 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.87/28.15 (step t32 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule and_pos)
% 27.87/28.15 (step t33 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32))
% 27.87/28.15 (step t34 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule reordering :premises (t33))
% 27.87/28.15 (step t35 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule contraction :premises (t34))
% 27.87/28.15 (step t36 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t2 t35))
% 27.87/28.15 (step t37 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.87/28.15 (step t38 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t36 t37))
% 27.87/28.15 (step t39 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule contraction :premises (t38))
% 27.87/28.15 (step t40 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule implies :premises (t39))
% 27.87/28.15 (step t41 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t1 t40))
% 27.87/28.15 (step t42 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule reordering :premises (t41))
% 27.87/28.15 (step t43 (cl (not (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule or_pos)
% 27.87/28.15 (step t44 (cl (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule reordering :premises (t43))
% 27.87/28.15 (step t45 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule and_neg)
% 27.87/28.15 (step t46 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule implies_neg1)
% 27.87/28.15 (anchor :step t47)
% 27.87/28.15 (assume t47.a0 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.15 (assume t47.a1 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.a2 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.a3 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.a4 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.a5 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.a6 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.15 (assume t47.a7 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.87/28.15 (assume t47.a8 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.87/28.15 (assume t47.a9 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.87/28.15 (assume t47.a10 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.a11 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.87/28.15 (assume t47.a12 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.87/28.15 (assume t47.a13 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.87/28.15 (assume t47.a14 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.87/28.15 (assume t47.a15 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.87/28.15 (assume t47.a16 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))
% 27.87/28.15 (assume t47.a17 (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.87/28.15 (assume t47.a18 (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))
% 27.87/28.15 (assume t47.a19 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.a20 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.87/28.15 (assume t47.a21 (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))
% 27.87/28.15 (step t47.t1 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies_neg1)
% 27.87/28.15 (anchor :step t47.t2)
% 27.87/28.15 (assume t47.t2.a0 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.15 (assume t47.t2.a1 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.87/28.15 (assume t47.t2.a2 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.87/28.15 (assume t47.t2.a3 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.t2.a4 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.t2.a5 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.t2.a6 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.87/28.15 (assume t47.t2.a7 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.87/28.15 (assume t47.t2.a8 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.t2.a9 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.87/28.15 (assume t47.t2.a10 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.t2.a11 (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))
% 27.87/28.15 (assume t47.t2.a12 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))
% 27.87/28.15 (assume t47.t2.a13 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.87/28.15 (assume t47.t2.a14 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.87/28.15 (assume t47.t2.a15 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.87/28.15 (assume t47.t2.a16 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.87/28.15 (assume t47.t2.a17 (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.87/28.15 (assume t47.t2.a18 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.87/28.15 (assume t47.t2.a19 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.87/28.15 (assume t47.t2.a20 (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))
% 27.87/28.15 (assume t47.t2.a21 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.87/28.15 (step t47.t2.t1 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.zero)) :rule symm :premises (t47.t2.a4))
% 27.87/28.15 (step t47.t2.t2 (cl (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t47.t2.t1))
% 27.87/28.15 (step t47.t2.t3 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t47.t2.a21))
% 27.87/28.15 (step t47.t2.t4 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule symm :premises (t47.t2.t3))
% 27.87/28.15 (step t47.t2.t5 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule refl)
% 27.87/28.15 (step t47.t2.t6 (cl (= (tptp.complement tptp.b) (tptp.complement tptp.b))) :rule refl)
% 27.87/28.15 (step t47.t2.t7 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t47.t2.a2))
% 27.87/28.15 (step t47.t2.t8 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t47.t2.t7))
% 27.87/28.15 (step t47.t2.t9 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t47.t2.t8))
% 27.87/28.15 (step t47.t2.t10 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule cong :premises (t47.t2.t6 t47.t2.t9))
% 27.87/28.15 (step t47.t2.t11 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t47.t2.a1))
% 27.87/28.15 (step t47.t2.t12 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule symm :premises (t47.t2.t11))
% 27.87/28.15 (step t47.t2.t13 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t47.t2.t12))
% 27.87/28.15 (step t47.t2.t14 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule trans :premises (t47.t2.t10 t47.t2.t13))
% 27.87/28.15 (step t47.t2.t15 (cl (= (tptp.complement tptp.a) (tptp.complement tptp.a))) :rule refl)
% 27.87/28.15 (step t47.t2.t16 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule cong :premises (t47.t2.t14 t47.t2.t15))
% 27.87/28.15 (step t47.t2.t17 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.t16))
% 27.87/28.15 (step t47.t2.t18 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule symm :premises (t47.t2.a3))
% 27.87/28.15 (step t47.t2.t19 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule trans :premises (t47.t2.t17 t47.t2.t18))
% 27.87/28.15 (step t47.t2.t20 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule cong :premises (t47.t2.t5 t47.t2.t19))
% 27.87/28.15 (step t47.t2.t21 (cl (= (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule symm :premises (t47.t2.a20))
% 27.87/28.15 (step t47.t2.t22 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule symm :premises (t47.t2.t21))
% 27.87/28.15 (step t47.t2.t23 (cl (= tptp.b tptp.b)) :rule refl)
% 27.87/28.15 (step t47.t2.t24 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.a6))
% 27.87/28.15 (step t47.t2.t25 (cl (= (tptp.meet tptp.a (tptp.complement tptp.a)) tptp.zero)) :rule symm :premises (t47.t2.a5))
% 27.87/28.15 (step t47.t2.t26 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule symm :premises (t47.t2.t10))
% 27.87/28.15 (step t47.t2.t27 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule trans :premises (t47.t2.t24 t47.t2.t25 t47.t2.t2 t47.t2.t12 t47.t2.t26))
% 27.87/28.15 (step t47.t2.t28 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule cong :premises (t47.t2.t15 t47.t2.t27))
% 27.87/28.15 (step t47.t2.t29 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t47.t2.t28))
% 27.87/28.15 (step t47.t2.t30 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t47.t2.a7))
% 27.87/28.15 (step t47.t2.t31 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.complement tptp.a))) :rule trans :premises (t47.t2.t29 t47.t2.t30))
% 27.87/28.15 (step t47.t2.t32 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t47.t2.a0 t47.t2.t31))
% 27.87/28.15 (step t47.t2.t33 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t47.t2.a0 t47.t2.t15))
% 27.87/28.15 (step t47.t2.t34 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.t33))
% 27.87/28.15 (step t47.t2.t35 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.complement tptp.b))) :rule symm :premises (t47.t2.a9))
% 27.87/28.15 (step t47.t2.t36 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t47.t2.t35))
% 27.87/28.15 (step t47.t2.t37 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.complement tptp.b))) :rule symm :premises (t47.t2.t36))
% 27.87/28.15 (step t47.t2.t38 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t47.t2.t15 t47.t2.t37))
% 27.87/28.15 (step t47.t2.t39 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule symm :premises (t47.t2.t38))
% 27.87/28.15 (step t47.t2.t40 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.a10))
% 27.87/28.15 (step t47.t2.t41 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t47.t2.t6 t47.t2.t40))
% 27.87/28.15 (step t47.t2.t42 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t47.t2.a0))
% 27.87/28.15 (step t47.t2.t43 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.complement tptp.b))) :rule trans :premises (t47.t2.t41 t47.t2.t42))
% 27.87/28.15 (step t47.t2.t44 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t47.t2.t15 t47.t2.t43))
% 27.87/28.15 (step t47.t2.t45 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t47.t2.t44 t47.t2.t40))
% 27.87/28.15 (step t47.t2.t46 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t47.t2.t6 t47.t2.t45))
% 27.87/28.15 (step t47.t2.t47 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule symm :premises (t47.t2.t46))
% 27.87/28.15 (step t47.t2.t48 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule trans :premises (t47.t2.a0 t47.t2.t47))
% 27.87/28.15 (step t47.t2.t49 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t47.t2.t6 t47.t2.t48))
% 27.87/28.15 (step t47.t2.t50 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule cong :premises (t47.t2.t6 t47.t2.t46))
% 27.87/28.15 (step t47.t2.t51 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t47.t2.t49 t47.t2.t50))
% 27.87/28.15 (step t47.t2.t52 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t47.t2.t15 t47.t2.t51))
% 27.87/28.15 (step t47.t2.t53 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule symm :premises (t47.t2.t52))
% 27.87/28.15 (step t47.t2.t54 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule refl)
% 27.87/28.15 (step t47.t2.t55 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.a8))
% 27.87/28.15 (step t47.t2.t56 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t47.t2.t52 t47.t2.t38 t47.t2.t55))
% 27.87/28.15 (step t47.t2.t57 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t47.t2.t6 t47.t2.t56))
% 27.87/28.15 (step t47.t2.t58 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t47.t2.a19))
% 27.87/28.15 (step t47.t2.t59 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule symm :premises (t47.t2.t50))
% 27.87/28.15 (step t47.t2.t60 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule trans :premises (t47.t2.t57 t47.t2.t58 t47.t2.t36 t47.t2.t59))
% 27.87/28.15 (step t47.t2.t61 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t47.t2.t6 t47.t2.t60))
% 27.87/28.15 (step t47.t2.t62 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.complement tptp.b))) :rule symm :premises (t47.t2.a18))
% 27.87/28.15 (step t47.t2.t63 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.complement tptp.b))) :rule trans :premises (t47.t2.t61 t47.t2.t62))
% 27.87/28.15 (step t47.t2.t64 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t47.t2.t23 t47.t2.t63))
% 27.87/28.15 (step t47.t2.t65 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule symm :premises (t47.t2.t64))
% 27.87/28.15 (step t47.t2.t66 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule cong :premises (t47.t2.t54 t47.t2.t65))
% 27.87/28.15 (step t47.t2.t67 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t47.t2.t23 t47.t2.t42))
% 27.87/28.15 (step t47.t2.t68 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t47.t2.t67))
% 27.87/28.15 (step t47.t2.t69 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t47.t2.t64 t47.t2.t68))
% 27.87/28.15 (step t47.t2.t70 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t47.t2.t56 t47.t2.t69))
% 27.87/28.15 (step t47.t2.t71 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule symm :premises (t47.t2.a17))
% 27.87/28.15 (step t47.t2.t72 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule symm :premises (t47.t2.t71))
% 27.87/28.15 (step t47.t2.t73 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) tptp.one)) :rule symm :premises (t47.t2.a16))
% 27.87/28.15 (step t47.t2.t74 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) tptp.one)) :rule symm :premises (t47.t2.a15))
% 27.87/28.15 (step t47.t2.t75 (cl (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.t74))
% 27.87/28.15 (step t47.t2.t76 (cl (= (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.a14))
% 27.87/28.15 (step t47.t2.t77 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule symm :premises (t47.t2.t76))
% 27.87/28.15 (step t47.t2.t78 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule trans :premises (t47.t2.t67 t47.t2.t73 t47.t2.t75 t47.t2.t77))
% 27.87/28.15 (step t47.t2.t79 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule cong :premises (t47.t2.t15 t47.t2.t78))
% 27.87/28.15 (step t47.t2.t80 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t47.t2.a13))
% 27.87/28.15 (step t47.t2.t81 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.complement tptp.a))) :rule trans :premises (t47.t2.t79 t47.t2.t80))
% 27.87/28.15 (step t47.t2.t82 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t47.t2.a0 t47.t2.t81))
% 27.87/28.15 (step t47.t2.t83 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t47.t2.t15 t47.t2.t59))
% 27.87/28.15 (step t47.t2.t84 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule trans :premises (t47.t2.t66 t47.t2.t70 t47.t2.t72 t47.t2.t82 t47.t2.t34 t47.t2.a8 t47.t2.t39 t47.t2.t83))
% 27.87/28.15 (step t47.t2.t85 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule cong :premises (t47.t2.t15 t47.t2.t84))
% 27.87/28.15 (step t47.t2.t86 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (tptp.complement tptp.a))) :rule symm :premises (t47.t2.a12))
% 27.87/28.15 (step t47.t2.t87 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) :rule trans :premises (t47.t2.t85 t47.t2.t86))
% 27.87/28.15 (step t47.t2.t88 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t47.t2.a0 t47.t2.t87))
% 27.87/28.15 (step t47.t2.t89 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule trans :premises (t47.t2.t88 t47.t2.t34 t47.t2.a8 t47.t2.t39 t47.t2.t53))
% 27.87/28.15 (step t47.t2.t90 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule cong :premises (t47.t2.t54 t47.t2.t89))
% 27.87/28.15 (step t47.t2.t91 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))))))) :rule symm :premises (t47.t2.t90))
% 27.87/28.15 (step t47.t2.t92 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))))))) :rule trans :premises (t47.t2.t32 t47.t2.t34 t47.t2.a8 t47.t2.t39 t47.t2.t53 t47.t2.a11 t47.t2.t91))
% 27.87/28.15 (step t47.t2.t93 (cl (= (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.meet tptp.b (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))))))))) :rule cong :premises (t47.t2.t23 t47.t2.t92))
% 27.87/28.15 (step t47.t2.t94 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) :rule symm :premises (t47.t2.a11))
% 27.87/28.15 (step t47.t2.t95 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t47.t2.t30))
% 27.87/28.15 (step t47.t2.t96 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule symm :premises (t47.t2.t18))
% 27.87/28.15 (step t47.t2.t97 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule trans :premises (t47.t2.t95 t47.t2.t28 t47.t2.t96 t47.t2.t16))
% 27.87/28.15 (step t47.t2.t98 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule cong :premises (t47.t2.t42 t47.t2.t97))
% 27.87/28.15 (step t47.t2.t99 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule trans :premises (t47.t2.t90 t47.t2.t94 t47.t2.t52 t47.t2.t38 t47.t2.t55 t47.t2.t33 t47.t2.t98))
% 27.87/28.15 (step t47.t2.t100 (cl (= (tptp.meet tptp.b (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.complement tptp.b))))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule cong :premises (t47.t2.t23 t47.t2.t99))
% 27.87/28.15 (step t47.t2.t101 (cl (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule trans :premises (t47.t2.t2 t47.t2.t4 t47.t2.t20 t47.t2.t22 t47.t2.t93 t47.t2.t100))
% 27.87/28.15 (step t47.t2 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule subproof :discharge (t47.t2.a0 t47.t2.a1 t47.t2.a2 t47.t2.a3 t47.t2.a4 t47.t2.a5 t47.t2.a6 t47.t2.a7 t47.t2.a8 t47.t2.a9 t47.t2.a10 t47.t2.a11 t47.t2.a12 t47.t2.a13 t47.t2.a14 t47.t2.a15 t47.t2.a16 t47.t2.a17 t47.t2.a18 t47.t2.a19 t47.t2.a20 t47.t2.a21))
% 27.87/28.15 (step t47.t3 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.87/28.15 (step t47.t4 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.87/28.15 (step t47.t5 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.15 (step t47.t6 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t47.t7 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t47.t8 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t47.t9 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.15 (step t47.t10 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t47.t11 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t47.t12 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.15 (step t47.t13 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t47.t14 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.15 (step t47.t15 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule and_pos)
% 27.94/28.15 (step t47.t16 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t47.t17 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.15 (step t47.t18 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t47.t19 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t47.t20 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.94/28.15 (step t47.t21 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.15 (step t47.t22 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.15 (step t47.t23 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.15 (step t47.t24 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.15 (step t47.t25 (cl (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t47.t2 t47.t3 t47.t4 t47.t5 t47.t6 t47.t7 t47.t8 t47.t9 t47.t10 t47.t11 t47.t12 t47.t13 t47.t14 t47.t15 t47.t16 t47.t17 t47.t18 t47.t19 t47.t20 t47.t21 t47.t22 t47.t23 t47.t24))
% 27.94/28.15 (step t47.t26 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule reordering :premises (t47.t25))
% 27.94/28.15 (step t47.t27 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule contraction :premises (t47.t26))
% 27.94/28.15 (step t47.t28 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t47.t1 t47.t27))
% 27.94/28.15 (step t47.t29 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.15 (step t47.t30 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t47.t28 t47.t29))
% 27.94/28.15 (step t47.t31 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule contraction :premises (t47.t30))
% 27.94/28.15 (step t47.t32 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t47.t31))
% 27.94/28.15 (step t47.t33 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule and_neg)
% 27.94/28.15 (step t47.t34 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t47.t33 t47.a0 t47.a11 t47.a8 t47.a19 t47.a4 t47.a5 t47.a9 t47.a15 t47.a10 t47.a7 t47.a1 t47.a18 t47.a16 t47.a14 t47.a12 t47.a3 t47.a2 t47.a17 t47.a13 t47.a6 t47.a21 t47.a20))
% 27.94/28.15 (step t47.t35 (cl (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t47.t32 t47.t34))
% 27.94/28.15 (step t47 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule subproof :discharge (t47.a0 t47.a1 t47.a2 t47.a3 t47.a4 t47.a5 t47.a6 t47.a7 t47.a8 t47.a9 t47.a10 t47.a11 t47.a12 t47.a13 t47.a14 t47.a15 t47.a16 t47.a17 t47.a18 t47.a19 t47.a20 t47.a21))
% 27.94/28.15 (step t48 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.15 (step t49 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t50 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t51 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t52 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t53 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t54 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.15 (step t55 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.15 (step t56 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.15 (step t57 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.15 (step t58 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.15 (step t59 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.94/28.15 (step t60 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.15 (step t61 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.15 (step t62 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t63 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t64 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule and_pos)
% 27.94/28.15 (step t65 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.94/28.15 (step t66 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.15 (step t67 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.15 (step t68 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.15 (step t69 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.15 (step t70 (cl (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))))) :rule resolution :premises (t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69))
% 27.94/28.15 (step t71 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule reordering :premises (t70))
% 27.94/28.15 (step t72 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule contraction :premises (t71))
% 27.94/28.15 (step t73 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t46 t72))
% 27.94/28.15 (step t74 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.15 (step t75 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t73 t74))
% 27.94/28.15 (step t76 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule contraction :premises (t75))
% 27.94/28.15 (step t77 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t76))
% 27.94/28.15 (step t78 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t45 t77))
% 27.94/28.15 (step t79 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule reordering :premises (t78))
% 27.94/28.15 (step t80 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t81)
% 27.94/28.15 (assume t81.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.15 (step t81.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement tptp.a))))
% 27.94/28.15 (step t81.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule or :premises (t81.t1))
% 27.94/28.15 (step t81.t3 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t81.t2 t81.a0))
% 27.94/28.15 (step t81 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule subproof :discharge (t81.a0))
% 27.94/28.15 (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t80 t81))
% 27.94/28.15 (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule implies_neg2)
% 27.94/28.15 (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t82 t83))
% 27.94/28.15 (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule contraction :premises (t84))
% 27.94/28.15 (step t86 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule implies :premises (t85))
% 27.94/28.15 (step t87 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule equiv_pos2)
% 27.94/28.15 (anchor :step t88 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.94/28.15 (step t88.t1 (cl (= X X)) :rule refl)
% 27.94/28.15 (step t88.t2 (cl (= Y Y)) :rule refl)
% 27.94/28.15 (step t88.t3 (cl (= (= (tptp.meet X (tptp.join X Y)) X) (= X (tptp.meet X (tptp.join X Y))))) :rule all_simplify)
% 27.94/28.15 (step t88 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) :rule bind)
% 27.94/28.15 (step t89 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule resolution :premises (t87 t88 a2))
% 27.94/28.15 (step t90 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t86 t89))
% 27.94/28.15 (step t91 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t92)
% 27.94/28.15 (assume t92.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.15 (step t92.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement tptp.a))))
% 27.94/28.15 (step t92.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule or :premises (t92.t1))
% 27.94/28.15 (step t92.t3 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t92.t2 t92.a0))
% 27.94/28.15 (step t92 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule subproof :discharge (t92.a0))
% 27.94/28.15 (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t91 t92))
% 27.94/28.15 (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.15 (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t93 t94))
% 27.94/28.15 (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule contraction :premises (t95))
% 27.94/28.15 (step t97 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule implies :premises (t96))
% 27.94/28.15 (step t98 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t97 a5))
% 27.94/28.15 (step t99 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t100)
% 27.94/28.15 (assume t100.a0 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))
% 27.94/28.15 (step t100.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.b)))
% 27.94/28.15 (step t100.t2 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule or :premises (t100.t1))
% 27.94/28.15 (step t100.t3 (cl (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t100.t2 t100.a0))
% 27.94/28.15 (step t100 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule subproof :discharge (t100.a0))
% 27.94/28.15 (step t101 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t99 t100))
% 27.94/28.15 (step t102 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.15 (step t103 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t101 t102))
% 27.94/28.15 (step t104 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))) :rule contraction :premises (t103))
% 27.94/28.15 (step t105 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule implies :premises (t104))
% 27.94/28.15 (step t106 (cl (not (= (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one)) (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) (not (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one))) (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) :rule equiv_pos2)
% 27.94/28.15 (anchor :step t107 :args ((X $$unsorted) (:= X X)))
% 27.94/28.15 (step t107.t1 (cl (= X X)) :rule refl)
% 27.94/28.15 (step t107.t2 (cl (= (= (tptp.join X (tptp.complement X)) tptp.one) (= tptp.one (tptp.join X (tptp.complement X))))) :rule all_simplify)
% 27.94/28.15 (step t107 (cl (= (forall ((X $$unsorted)) (= (tptp.join X (tptp.complement X)) tptp.one)) (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))) :rule bind)
% 27.94/28.15 (step t108 (cl (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) :rule resolution :premises (t106 t107 a8))
% 27.94/28.15 (step t109 (cl (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t105 t108))
% 27.94/28.15 (step t110 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t111)
% 27.94/28.15 (assume t111.a0 (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))))
% 27.94/28.15 (step t111.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 27.94/28.15 (step t111.t2 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule or :premises (t111.t1))
% 27.94/28.15 (step t111.t3 (cl (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t111.t2 t111.a0))
% 27.94/28.15 (step t111 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule subproof :discharge (t111.a0))
% 27.94/28.15 (step t112 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t110 t111))
% 27.94/28.15 (step t113 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.94/28.15 (step t114 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))) :rule resolution :premises (t112 t113))
% 27.94/28.15 (step t115 (cl (=> (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X)))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))) :rule contraction :premises (t114))
% 27.94/28.15 (step t116 (cl (not (forall ((X $$unsorted)) (= tptp.one (tptp.join X (tptp.complement X))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule implies :premises (t115))
% 27.94/28.15 (step t117 (cl (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t116 t108))
% 27.94/28.15 (step t118 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t119)
% 27.94/28.15 (assume t119.a0 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))
% 27.94/28.15 (step t119.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.b)))
% 27.94/28.15 (step t119.t2 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule or :premises (t119.t1))
% 27.94/28.15 (step t119.t3 (cl (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t119.t2 t119.a0))
% 27.94/28.15 (step t119 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule subproof :discharge (t119.a0))
% 27.94/28.15 (step t120 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t118 t119))
% 27.94/28.15 (step t121 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.15 (step t122 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t120 t121))
% 27.94/28.15 (step t123 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule contraction :premises (t122))
% 27.94/28.15 (step t124 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule implies :premises (t123))
% 27.94/28.15 (step t125 (cl (not (= (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero)) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) (not (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero))) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule equiv_pos2)
% 27.94/28.15 (anchor :step t126 :args ((X $$unsorted) (:= X X)))
% 27.94/28.15 (step t126.t1 (cl (= X X)) :rule refl)
% 27.94/28.15 (step t126.t2 (cl (= (= (tptp.meet X (tptp.complement X)) tptp.zero) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule all_simplify)
% 27.94/28.15 (step t126 (cl (= (forall ((X $$unsorted)) (= (tptp.meet X (tptp.complement X)) tptp.zero)) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))) :rule bind)
% 27.94/28.15 (step t127 (cl (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule resolution :premises (t125 t126 a9))
% 27.94/28.15 (step t128 (cl (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule resolution :premises (t124 t127))
% 27.94/28.15 (step t129 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t130)
% 27.94/28.15 (assume t130.a0 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))
% 27.94/28.15 (step t130.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 27.94/28.15 (step t130.t2 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule or :premises (t130.t1))
% 27.94/28.15 (step t130.t3 (cl (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t130.t2 t130.a0))
% 27.94/28.15 (step t130 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule subproof :discharge (t130.a0))
% 27.94/28.15 (step t131 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t129 t130))
% 27.94/28.15 (step t132 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.94/28.15 (step t133 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))) :rule resolution :premises (t131 t132))
% 27.94/28.15 (step t134 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))) :rule contraction :premises (t133))
% 27.94/28.15 (step t135 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule implies :premises (t134))
% 27.94/28.15 (step t136 (cl (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule resolution :premises (t135 t127))
% 27.94/28.15 (step t137 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t138)
% 27.94/28.15 (assume t138.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.15 (step t138.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement tptp.a))))
% 27.94/28.15 (step t138.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule or :premises (t138.t1))
% 27.94/28.15 (step t138.t3 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t138.t2 t138.a0))
% 27.94/28.15 (step t138 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule subproof :discharge (t138.a0))
% 27.94/28.15 (step t139 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t137 t138))
% 27.94/28.15 (step t140 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule implies_neg2)
% 27.94/28.15 (step t141 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t139 t140))
% 27.94/28.15 (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule contraction :premises (t141))
% 27.94/28.15 (step t143 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule implies :premises (t142))
% 27.94/28.15 (step t144 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule equiv_pos2)
% 27.94/28.15 (anchor :step t145 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.94/28.15 (step t145.t1 (cl (= X X)) :rule refl)
% 27.94/28.15 (step t145.t2 (cl (= Y Y)) :rule refl)
% 27.94/28.15 (step t145.t3 (cl (= (= (tptp.join X (tptp.meet X Y)) X) (= X (tptp.join X (tptp.meet X Y))))) :rule all_simplify)
% 27.94/28.15 (step t145 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) :rule bind)
% 27.94/28.15 (step t146 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule resolution :premises (t144 t145 a3))
% 27.94/28.15 (step t147 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t143 t146))
% 27.94/28.15 (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t149)
% 27.94/28.15 (assume t149.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.15 (step t149.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.15 (step t149.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule or :premises (t149.t1))
% 27.94/28.15 (step t149.t3 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t149.t2 t149.a0))
% 27.94/28.15 (step t149 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule subproof :discharge (t149.a0))
% 27.94/28.15 (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t148 t149))
% 27.94/28.15 (step t151 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.15 (step t152 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule resolution :premises (t150 t151))
% 27.94/28.15 (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule contraction :premises (t152))
% 27.94/28.15 (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule implies :premises (t153))
% 27.94/28.15 (step t155 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t154 t146))
% 27.94/28.15 (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t157)
% 27.94/28.15 (assume t157.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.15 (step t157.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b))))
% 27.94/28.15 (step t157.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule or :premises (t157.t1))
% 27.94/28.15 (step t157.t3 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t157.t2 t157.a0))
% 27.94/28.15 (step t157 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule subproof :discharge (t157.a0))
% 27.94/28.15 (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t156 t157))
% 27.94/28.15 (step t159 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule implies_neg2)
% 27.94/28.15 (step t160 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule resolution :premises (t158 t159))
% 27.94/28.15 (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule contraction :premises (t160))
% 27.94/28.15 (step t162 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule implies :premises (t161))
% 27.94/28.15 (step t163 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t162 t146))
% 27.94/28.15 (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t165)
% 27.94/28.15 (assume t165.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.15 (step t165.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.complement tptp.a))))
% 27.94/28.15 (step t165.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule or :premises (t165.t1))
% 27.94/28.15 (step t165.t3 (cl (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t165.t2 t165.a0))
% 27.94/28.15 (step t165 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule subproof :discharge (t165.a0))
% 27.94/28.15 (step t166 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t164 t165))
% 27.94/28.15 (step t167 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule implies_neg2)
% 27.94/28.15 (step t168 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t166 t167))
% 27.94/28.15 (step t169 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule contraction :premises (t168))
% 27.94/28.15 (step t170 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule implies :premises (t169))
% 27.94/28.15 (step t171 (cl (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t170 a4))
% 27.94/28.15 (step t172 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t173)
% 27.94/28.15 (assume t173.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.15 (step t173.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement tptp.a))))
% 27.94/28.15 (step t173.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule or :premises (t173.t1))
% 27.94/28.15 (step t173.t3 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t173.t2 t173.a0))
% 27.94/28.15 (step t173 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule subproof :discharge (t173.a0))
% 27.94/28.15 (step t174 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t172 t173))
% 27.94/28.15 (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.15 (step t176 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t174 t175))
% 27.94/28.15 (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule contraction :premises (t176))
% 27.94/28.15 (step t178 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule implies :premises (t177))
% 27.94/28.15 (step t179 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t178 a4))
% 27.94/28.15 (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.15 (anchor :step t181)
% 27.94/28.15 (assume t181.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.15 (step t181.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b))))
% 27.94/28.16 (step t181.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule or :premises (t181.t1))
% 27.94/28.16 (step t181.t3 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t181.t2 t181.a0))
% 27.94/28.16 (step t181 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule subproof :discharge (t181.a0))
% 27.94/28.16 (step t182 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t180 t181))
% 27.94/28.16 (step t183 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))) :rule implies_neg2)
% 27.94/28.16 (step t184 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))) :rule resolution :premises (t182 t183))
% 27.94/28.16 (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))) :rule contraction :premises (t184))
% 27.94/28.16 (step t186 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule implies :premises (t185))
% 27.94/28.16 (step t187 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t186 a4))
% 27.94/28.16 (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t189)
% 27.94/28.16 (assume t189.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.16 (step t189.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.complement tptp.a))))
% 27.94/28.16 (step t189.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule or :premises (t189.t1))
% 27.94/28.16 (step t189.t3 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t189.t2 t189.a0))
% 27.94/28.16 (step t189 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule subproof :discharge (t189.a0))
% 27.94/28.16 (step t190 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t188 t189))
% 27.94/28.16 (step t191 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule implies_neg2)
% 27.94/28.16 (step t192 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t190 t191))
% 27.94/28.16 (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule contraction :premises (t192))
% 27.94/28.16 (step t194 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule implies :premises (t193))
% 27.94/28.16 (step t195 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule resolution :premises (t194 a5))
% 27.94/28.16 (step t196 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t197)
% 27.94/28.16 (assume t197.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.16 (step t197.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))
% 27.94/28.16 (step t197.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule or :premises (t197.t1))
% 27.94/28.16 (step t197.t3 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule resolution :premises (t197.t2 t197.a0))
% 27.94/28.16 (step t197 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule subproof :discharge (t197.a0))
% 27.94/28.16 (step t198 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule resolution :premises (t196 t197))
% 27.94/28.16 (step t199 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule implies_neg2)
% 27.94/28.16 (step t200 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule resolution :premises (t198 t199))
% 27.94/28.16 (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule contraction :premises (t200))
% 27.94/28.16 (step t202 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule implies :premises (t201))
% 27.94/28.16 (step t203 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule resolution :premises (t202 t89))
% 27.94/28.16 (step t204 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t205)
% 27.94/28.16 (assume t205.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.16 (step t205.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y tptp.a)))
% 27.94/28.16 (step t205.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule or :premises (t205.t1))
% 27.94/28.16 (step t205.t3 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t205.t2 t205.a0))
% 27.94/28.16 (step t205 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule subproof :discharge (t205.a0))
% 27.94/28.16 (step t206 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t204 t205))
% 27.94/28.16 (step t207 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))) :rule implies_neg2)
% 27.94/28.16 (step t208 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))) :rule resolution :premises (t206 t207))
% 27.94/28.16 (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))) :rule contraction :premises (t208))
% 27.94/28.16 (step t210 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule implies :premises (t209))
% 27.94/28.16 (step t211 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t210 t89))
% 27.94/28.16 (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t213)
% 27.94/28.16 (assume t213.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.16 (step t213.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y tptp.a)))
% 27.94/28.16 (step t213.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule or :premises (t213.t1))
% 27.94/28.16 (step t213.t3 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t213.t2 t213.a0))
% 27.94/28.16 (step t213 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule subproof :discharge (t213.a0))
% 27.94/28.16 (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t212 t213))
% 27.94/28.16 (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))) :rule implies_neg2)
% 27.94/28.16 (step t216 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))) :rule resolution :premises (t214 t215))
% 27.94/28.16 (step t217 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))) :rule contraction :premises (t216))
% 27.94/28.16 (step t218 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule implies :premises (t217))
% 27.94/28.16 (step t219 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule resolution :premises (t218 t146))
% 27.94/28.16 (step t220 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t221)
% 27.94/28.16 (assume t221.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.16 (step t221.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.94/28.16 (step t221.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule or :premises (t221.t1))
% 27.94/28.16 (step t221.t3 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule resolution :premises (t221.t2 t221.a0))
% 27.94/28.16 (step t221 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule subproof :discharge (t221.a0))
% 27.94/28.16 (step t222 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule resolution :premises (t220 t221))
% 27.94/28.16 (step t223 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))) :rule implies_neg2)
% 27.94/28.16 (step t224 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))) :rule resolution :premises (t222 t223))
% 27.94/28.16 (step t225 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))))) :rule contraction :premises (t224))
% 27.94/28.16 (step t226 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule implies :premises (t225))
% 27.94/28.16 (step t227 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))) :rule resolution :premises (t226 t146))
% 27.94/28.16 (step t228 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t229)
% 27.94/28.16 (assume t229.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.94/28.16 (step t229.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement tptp.a)) (:= Z (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))
% 27.94/28.16 (step t229.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule or :premises (t229.t1))
% 27.94/28.16 (step t229.t3 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t229.t2 t229.a0))
% 27.94/28.16 (step t229 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule subproof :discharge (t229.a0))
% 27.94/28.16 (step t230 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t228 t229))
% 27.94/28.16 (step t231 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule implies_neg2)
% 27.94/28.16 (step t232 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule resolution :premises (t230 t231))
% 27.94/28.16 (step t233 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule contraction :premises (t232))
% 27.94/28.16 (step t234 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule implies :premises (t233))
% 27.94/28.16 (step t235 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t234 a6))
% 27.94/28.16 (step t236 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (forall ((X $$unsorted)) (= X (tptp.join X X)))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t237)
% 27.94/28.16 (assume t237.a0 (forall ((X $$unsorted)) (= X (tptp.join X X))))
% 27.94/28.16 (step t237.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))
% 27.94/28.16 (step t237.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule or :premises (t237.t1))
% 27.94/28.16 (step t237.t3 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t237.t2 t237.a0))
% 27.94/28.16 (step t237 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule subproof :discharge (t237.a0))
% 27.94/28.16 (step t238 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t236 t237))
% 27.94/28.16 (step t239 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule implies_neg2)
% 27.94/28.16 (step t240 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule resolution :premises (t238 t239))
% 27.94/28.16 (step t241 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule contraction :premises (t240))
% 27.94/28.16 (step t242 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule implies :premises (t241))
% 27.94/28.16 (step t243 (cl (not (= (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted)) (= X (tptp.join X X))))) (not (forall ((X $$unsorted)) (= (tptp.join X X) X))) (forall ((X $$unsorted)) (= X (tptp.join X X)))) :rule equiv_pos2)
% 27.94/28.16 (anchor :step t244 :args ((X $$unsorted) (:= X X)))
% 27.94/28.16 (step t244.t1 (cl (= X X)) :rule refl)
% 27.94/28.16 (step t244.t2 (cl (= (= (tptp.join X X) X) (= X (tptp.join X X)))) :rule all_simplify)
% 27.94/28.16 (step t244 (cl (= (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted)) (= X (tptp.join X X))))) :rule bind)
% 27.94/28.16 (step t245 (cl (forall ((X $$unsorted)) (= X (tptp.join X X)))) :rule resolution :premises (t243 t244 a1))
% 27.94/28.16 (step t246 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t242 t245))
% 27.94/28.16 (step t247 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t248)
% 27.94/28.16 (assume t248.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.16 (step t248.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))
% 27.94/28.16 (step t248.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule or :premises (t248.t1))
% 27.94/28.16 (step t248.t3 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule resolution :premises (t248.t2 t248.a0))
% 27.94/28.16 (step t248 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule subproof :discharge (t248.a0))
% 27.94/28.16 (step t249 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule resolution :premises (t247 t248))
% 27.94/28.16 (step t250 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.94/28.16 (step t251 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))) :rule resolution :premises (t249 t250))
% 27.94/28.16 (step t252 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))) :rule contraction :premises (t251))
% 27.94/28.16 (step t253 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule implies :premises (t252))
% 27.94/28.16 (step t254 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule resolution :premises (t253 a5))
% 27.94/28.16 (step t255 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t256)
% 27.94/28.16 (assume t256.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.16 (step t256.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule forall_inst :args ((:= X (tptp.meet tptp.b (tptp.complement tptp.b))) (:= Y (tptp.complement tptp.a))))
% 27.94/28.16 (step t256.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule or :premises (t256.t1))
% 27.94/28.16 (step t256.t3 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule resolution :premises (t256.t2 t256.a0))
% 27.94/28.16 (step t256 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule subproof :discharge (t256.a0))
% 27.94/28.16 (step t257 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule resolution :premises (t255 t256))
% 27.94/28.16 (step t258 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies_neg2)
% 27.94/28.16 (step t259 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t257 t258))
% 27.94/28.16 (step t260 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule contraction :premises (t259))
% 27.94/28.16 (step t261 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule implies :premises (t260))
% 27.94/28.16 (step t262 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule resolution :premises (t261 t89))
% 27.94/28.16 (step t263 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t264)
% 27.94/28.16 (assume t264.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.94/28.16 (step t264.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b)) (:= Z (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))
% 27.94/28.16 (step t264.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule or :premises (t264.t1))
% 27.94/28.16 (step t264.t3 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule resolution :premises (t264.t2 t264.a0))
% 27.94/28.16 (step t264 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule subproof :discharge (t264.a0))
% 27.94/28.16 (step t265 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule resolution :premises (t263 t264))
% 27.94/28.16 (step t266 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule implies_neg2)
% 27.94/28.16 (step t267 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule resolution :premises (t265 t266))
% 27.94/28.16 (step t268 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))) :rule contraction :premises (t267))
% 27.94/28.16 (step t269 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule implies :premises (t268))
% 27.94/28.16 (step t270 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule resolution :premises (t269 a6))
% 27.94/28.16 (step t271 (cl (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t79 t90 t98 t109 t117 t128 t136 t147 t155 t163 t171 t179 t187 t195 t203 t211 t219 t227 t235 t246 t254 t262 t270))
% 27.94/28.16 (step t272 (cl (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule and_neg)
% 27.94/28.16 (step t273 (cl (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t274)
% 27.94/28.16 (assume t274.a0 (= tptp.a (tptp.meet tptp.b tptp.a)))
% 27.94/28.16 (assume t274.a1 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.a2 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))
% 27.94/28.16 (assume t274.a3 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a4 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a5 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.a6 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a7 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.a8 (= tptp.b (tptp.meet tptp.b tptp.b)))
% 27.94/28.16 (assume t274.a9 (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.a10 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.a11 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.94/28.16 (assume t274.a12 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.a13 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.94/28.16 (assume t274.a14 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a15 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.94/28.16 (assume t274.a16 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.94/28.16 (assume t274.a17 (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))
% 27.94/28.16 (assume t274.a18 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))
% 27.94/28.16 (assume t274.a19 (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.94/28.16 (assume t274.a20 (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.a21 (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.a22 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.94/28.16 (assume t274.a23 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.94/28.16 (assume t274.a24 (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))
% 27.94/28.16 (assume t274.a25 (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))
% 27.94/28.16 (assume t274.a26 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))
% 27.94/28.16 (assume t274.a27 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))
% 27.94/28.16 (assume t274.a28 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.94/28.16 (assume t274.a29 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.94/28.16 (assume t274.a30 (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))
% 27.94/28.16 (assume t274.a31 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))
% 27.94/28.16 (assume t274.a32 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.a33 (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))
% 27.94/28.16 (assume t274.a34 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))
% 27.94/28.16 (assume t274.a35 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.a36 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))
% 27.94/28.16 (assume t274.a37 (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a38 (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a39 (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))
% 27.94/28.16 (assume t274.a40 (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))
% 27.94/28.16 (assume t274.a41 (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))
% 27.94/28.16 (assume t274.a42 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))
% 27.94/28.16 (assume t274.a43 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.a44 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))
% 27.94/28.16 (step t274.t1 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule implies_neg1)
% 27.94/28.16 (anchor :step t274.t2)
% 27.94/28.16 (assume t274.t2.a0 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.t2.a1 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)))
% 27.94/28.16 (assume t274.t2.a2 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.t2.a3 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.t2.a4 (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a5 (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.t2.a6 (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)))
% 27.94/28.16 (assume t274.t2.a7 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))))
% 27.94/28.16 (assume t274.t2.a8 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.94/28.16 (assume t274.t2.a9 (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a10 (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))))
% 27.94/28.16 (assume t274.t2.a11 (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)))
% 27.94/28.16 (assume t274.t2.a12 (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))))
% 27.94/28.16 (assume t274.t2.a13 (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a14 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.94/28.16 (assume t274.t2.a15 (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a16 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))
% 27.94/28.16 (assume t274.t2.a17 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))
% 27.94/28.16 (assume t274.t2.a18 (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.t2.a19 (= tptp.b (tptp.meet tptp.b tptp.b)))
% 27.94/28.16 (assume t274.t2.a20 (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))
% 27.94/28.16 (assume t274.t2.a21 (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))
% 27.94/28.16 (assume t274.t2.a22 (= tptp.a (tptp.meet tptp.b tptp.a)))
% 27.94/28.16 (assume t274.t2.a23 (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))
% 27.94/28.16 (assume t274.t2.a24 (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))
% 27.94/28.16 (assume t274.t2.a25 (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.t2.a26 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))
% 27.94/28.16 (assume t274.t2.a27 (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))
% 27.94/28.16 (assume t274.t2.a28 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))
% 27.94/28.16 (assume t274.t2.a29 (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))
% 27.94/28.16 (assume t274.t2.a30 (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.t2.a31 (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))
% 27.94/28.16 (assume t274.t2.a32 (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))
% 27.94/28.16 (assume t274.t2.a33 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))
% 27.94/28.16 (assume t274.t2.a34 (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))
% 27.94/28.16 (assume t274.t2.a35 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))
% 27.94/28.16 (assume t274.t2.a36 (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))))
% 27.94/28.16 (assume t274.t2.a37 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.16 (assume t274.t2.a38 (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a39 (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))
% 27.94/28.16 (assume t274.t2.a40 (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))
% 27.94/28.16 (assume t274.t2.a41 (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))
% 27.94/28.16 (assume t274.t2.a42 (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a43 (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))
% 27.94/28.16 (assume t274.t2.a44 (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))
% 27.94/28.16 (step t274.t2.t1 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) tptp.one)) :rule symm :premises (t274.t2.a9))
% 27.94/28.16 (step t274.t2.t2 (cl (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t1))
% 27.94/28.16 (step t274.t2.t3 (cl (= (tptp.complement tptp.b) (tptp.complement tptp.b))) :rule refl)
% 27.94/28.16 (step t274.t2.t4 (cl (= (tptp.complement tptp.a) (tptp.complement tptp.a))) :rule refl)
% 27.94/28.16 (step t274.t2.t5 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.a15))
% 27.94/28.16 (step t274.t2.t6 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t3 t274.t2.t5))
% 27.94/28.16 (step t274.t2.t7 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a0))
% 27.94/28.16 (step t274.t2.t8 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.complement tptp.b))) :rule trans :premises (t274.t2.t6 t274.t2.t7))
% 27.94/28.16 (step t274.t2.t9 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t274.t2.t4 t274.t2.t8))
% 27.94/28.16 (step t274.t2.t10 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t274.t2.t9 t274.t2.t5))
% 27.94/28.16 (step t274.t2.t11 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t3 t274.t2.t10))
% 27.94/28.16 (step t274.t2.t12 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.t11))
% 27.94/28.16 (step t274.t2.t13 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) :rule trans :premises (t274.t2.a0 t274.t2.t12))
% 27.94/28.16 (step t274.t2.t14 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t3 t274.t2.t13))
% 27.94/28.16 (step t274.t2.t15 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t3 t274.t2.t11))
% 27.94/28.16 (step t274.t2.t16 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t274.t2.t14 t274.t2.t15))
% 27.94/28.16 (step t274.t2.t17 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t274.t2.t4 t274.t2.t16))
% 27.94/28.16 (step t274.t2.t18 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a14))
% 27.94/28.16 (step t274.t2.t19 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t274.t2.t18))
% 27.94/28.16 (step t274.t2.t20 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.t19))
% 27.94/28.16 (step t274.t2.t21 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule cong :premises (t274.t2.t4 t274.t2.t20))
% 27.94/28.16 (step t274.t2.t22 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.a13))
% 27.94/28.16 (step t274.t2.t23 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) :rule trans :premises (t274.t2.t17 t274.t2.t21 t274.t2.t22))
% 27.94/28.16 (step t274.t2.t24 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t3 t274.t2.t23))
% 27.94/28.16 (step t274.t2.t25 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t24))
% 27.94/28.16 (step t274.t2.t26 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule trans :premises (t274.t2.a37 t274.t2.t25))
% 27.94/28.16 (step t274.t2.t27 (cl (= tptp.b tptp.b)) :rule refl)
% 27.94/28.16 (step t274.t2.t28 (cl (= (tptp.join (tptp.complement tptp.b) tptp.b) (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b))) :rule cong :premises (t274.t2.t26 t274.t2.t27))
% 27.94/28.16 (step t274.t2.t29 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b))) :rule symm :premises (t274.t2.a44))
% 27.94/28.16 (step t274.t2.t30 (cl (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule symm :premises (t274.t2.t29))
% 27.94/28.16 (step t274.t2.t31 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule symm :premises (t274.t2.a43))
% 27.94/28.16 (step t274.t2.t32 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t31))
% 27.94/28.16 (step t274.t2.t33 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) :rule refl)
% 27.94/28.16 (step t274.t2.t34 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a35))
% 27.94/28.16 (step t274.t2.t35 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule symm :premises (t274.t2.t34))
% 27.94/28.16 (step t274.t2.t36 (cl (= (tptp.join (tptp.complement tptp.b) tptp.b) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.a34))
% 27.94/28.16 (step t274.t2.t37 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) tptp.one)) :rule symm :premises (t274.t2.a10))
% 27.94/28.16 (step t274.t2.t38 (cl (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.t37))
% 27.94/28.16 (step t274.t2.t39 (cl (= (tptp.join (tptp.complement tptp.b) tptp.b) (tptp.join tptp.a (tptp.complement tptp.a)))) :rule trans :premises (t274.t2.t36 t274.t2.t1 t274.t2.t38))
% 27.94/28.16 (step t274.t2.t40 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.a (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t3 t274.t2.t39))
% 27.94/28.16 (step t274.t2.t41 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) tptp.one)) :rule symm :premises (t274.t2.t38))
% 27.94/28.16 (step t274.t2.t42 (cl (= (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.a33))
% 27.94/28.16 (step t274.t2.t43 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule symm :premises (t274.t2.t42))
% 27.94/28.16 (step t274.t2.t44 (cl (= (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.a11))
% 27.94/28.16 (step t274.t2.t45 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule symm :premises (t274.t2.t44))
% 27.94/28.16 (step t274.t2.t46 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule trans :premises (t274.t2.t1 t274.t2.t38 t274.t2.t45))
% 27.94/28.16 (step t274.t2.t47 (cl (= (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule refl)
% 27.94/28.16 (step t274.t2.t48 (cl (= (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule cong :premises (t274.t2.t46 t274.t2.t47))
% 27.94/28.16 (step t274.t2.t49 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule symm :premises (t274.t2.a32))
% 27.94/28.16 (step t274.t2.t50 (cl (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule symm :premises (t274.t2.t49))
% 27.94/28.16 (step t274.t2.t51 (cl (= tptp.a tptp.a)) :rule refl)
% 27.94/28.16 (step t274.t2.t52 (cl (= (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t274.t2.a31))
% 27.94/28.16 (step t274.t2.t53 (cl (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t274.t2.a30))
% 27.94/28.16 (step t274.t2.t54 (cl (= (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b) tptp.b)) :rule trans :premises (t274.t2.t52 t274.t2.t53))
% 27.94/28.16 (step t274.t2.t55 (cl (= (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join tptp.a tptp.b))) :rule cong :premises (t274.t2.t51 t274.t2.t54))
% 27.94/28.16 (step t274.t2.t56 (cl (= (tptp.meet tptp.b tptp.a) tptp.a)) :rule symm :premises (t274.t2.a22))
% 27.94/28.16 (step t274.t2.t57 (cl (= tptp.a (tptp.meet tptp.b tptp.a))) :rule symm :premises (t274.t2.t56))
% 27.94/28.16 (step t274.t2.t58 (cl (= (tptp.join tptp.a tptp.b) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule cong :premises (t274.t2.t57 t274.t2.t27))
% 27.94/28.16 (step t274.t2.t59 (cl (= (tptp.join (tptp.meet tptp.b tptp.a) tptp.b) (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule symm :premises (t274.t2.a21))
% 27.94/28.16 (step t274.t2.t60 (cl (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) tptp.b)) :rule symm :premises (t274.t2.a20))
% 27.94/28.16 (step t274.t2.t61 (cl (= (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) tptp.b)) :rule trans :premises (t274.t2.t55 t274.t2.t58 t274.t2.t59 t274.t2.t60))
% 27.94/28.16 (step t274.t2.t62 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (tptp.join (tptp.complement tptp.a) tptp.b))) :rule cong :premises (t274.t2.t4 t274.t2.t61))
% 27.94/28.16 (step t274.t2.t63 (cl (= (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.a25))
% 27.94/28.16 (step t274.t2.t64 (cl (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t274.t2.t60 t274.t2.t3))
% 27.94/28.16 (step t274.t2.t65 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t27 t274.t2.a0))
% 27.94/28.16 (step t274.t2.t66 (cl (= (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t274.t2.t63 t274.t2.t64 t274.t2.t65))
% 27.94/28.16 (step t274.t2.t67 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t274.t2.t4 t274.t2.t66))
% 27.94/28.16 (step t274.t2.t68 (cl (= (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.join tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.t45))
% 27.94/28.16 (step t274.t2.t69 (cl (= (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule trans :premises (t274.t2.t68 t274.t2.t41 t274.t2.t2 t274.t2.t65))
% 27.94/28.16 (step t274.t2.t70 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule cong :premises (t274.t2.t4 t274.t2.t69))
% 27.94/28.16 (step t274.t2.t71 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t274.t2.t70))
% 27.94/28.16 (step t274.t2.t72 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t274.t2.a12))
% 27.94/28.16 (step t274.t2.t73 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.complement tptp.a))) :rule trans :premises (t274.t2.t67 t274.t2.t71 t274.t2.t72))
% 27.94/28.16 (step t274.t2.t74 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t73))
% 27.94/28.16 (step t274.t2.t75 (cl (= (tptp.join (tptp.complement tptp.a) tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule cong :premises (t274.t2.t74 t274.t2.t27))
% 27.94/28.16 (step t274.t2.t76 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.a27))
% 27.94/28.16 (step t274.t2.t77 (cl (= (tptp.join tptp.b (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))))) :rule cong :premises (t274.t2.t27 t274.t2.t74))
% 27.94/28.16 (step t274.t2.t78 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join tptp.b (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.t77))
% 27.94/28.16 (step t274.t2.t79 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.complement tptp.a)))) :rule trans :premises (t274.t2.t41 t274.t2.t2 t274.t2.t43 t274.t2.t48 t274.t2.t50 t274.t2.t62 t274.t2.t75 t274.t2.t76 t274.t2.t78))
% 27.94/28.16 (step t274.t2.t80 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.a (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t3 t274.t2.t79))
% 27.94/28.16 (step t274.t2.t81 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t3 t274.t2.t77))
% 27.94/28.16 (step t274.t2.t82 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule refl)
% 27.94/28.16 (step t274.t2.t83 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule cong :premises (t274.t2.t82 t274.t2.t53))
% 27.94/28.16 (step t274.t2.t84 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule symm :premises (t274.t2.a29))
% 27.94/28.16 (step t274.t2.t85 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule trans :premises (t274.t2.t83 t274.t2.t84))
% 27.94/28.16 (step t274.t2.t86 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule cong :premises (t274.t2.t3 t274.t2.t85))
% 27.94/28.16 (step t274.t2.t87 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.t86))
% 27.94/28.16 (step t274.t2.t88 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))))) :rule trans :premises (t274.t2.t35 t274.t2.t40 t274.t2.t80 t274.t2.t81 t274.t2.a28 t274.t2.t87))
% 27.94/28.16 (step t274.t2.t89 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t27 t274.t2.t88))
% 27.94/28.16 (step t274.t2.t90 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) :rule symm :premises (t274.t2.a28))
% 27.94/28.16 (step t274.t2.t91 (cl (= (tptp.join (tptp.complement tptp.a) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))))) :rule trans :premises (t274.t2.t75 t274.t2.t76))
% 27.94/28.16 (step t274.t2.t92 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t3 t274.t2.t91))
% 27.94/28.16 (step t274.t2.t93 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) tptp.b)))) :rule symm :premises (t274.t2.t92))
% 27.94/28.16 (step t274.t2.t94 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) tptp.b)))) :rule trans :premises (t274.t2.t86 t274.t2.t90 t274.t2.t93))
% 27.94/28.16 (step t274.t2.t95 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) tptp.b))))) :rule cong :premises (t274.t2.t27 t274.t2.t94))
% 27.94/28.16 (step t274.t2.t96 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) tptp.b))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t274.t2.t27 t274.t2.t92))
% 27.94/28.16 (step t274.t2.t97 (cl (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))))))) :rule trans :premises (t274.t2.t41 t274.t2.t2 t274.t2.t89 t274.t2.t95 t274.t2.t96))
% 27.94/28.16 (step t274.t2.t98 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.a (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))))) :rule cong :premises (t274.t2.t3 t274.t2.t97))
% 27.94/28.16 (step t274.t2.t99 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))))) :rule symm :premises (t274.t2.a26))
% 27.94/28.16 (step t274.t2.t100 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule symm :premises (t274.t2.t99))
% 27.94/28.16 (step t274.t2.t101 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)) (tptp.complement tptp.b))) :rule trans :premises (t274.t2.t14 t274.t2.t15 t274.t2.t20))
% 27.94/28.16 (step t274.t2.t102 (cl (= (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t274.t2.t27 t274.t2.t101))
% 27.94/28.16 (step t274.t2.t103 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.a1))
% 27.94/28.16 (step t274.t2.t104 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule symm :premises (t274.t2.t103))
% 27.94/28.16 (step t274.t2.t105 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t274.t2.a2))
% 27.94/28.16 (step t274.t2.t106 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t274.t2.t105))
% 27.94/28.16 (step t274.t2.t107 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) tptp.b)) :rule symm :premises (t274.t2.t106))
% 27.94/28.16 (step t274.t2.t108 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule cong :premises (t274.t2.t3 t274.t2.t107))
% 27.94/28.16 (step t274.t2.t109 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t108))
% 27.94/28.16 (step t274.t2.t110 (cl (= (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule trans :premises (t274.t2.t102 t274.t2.t104 t274.t2.t109))
% 27.94/28.16 (step t274.t2.t111 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule cong :premises (t274.t2.t73 t274.t2.t110))
% 27.94/28.16 (step t274.t2.t112 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.a6))
% 27.94/28.16 (step t274.t2.t113 (cl (= (tptp.meet tptp.a (tptp.complement tptp.a)) tptp.zero)) :rule symm :premises (t274.t2.a5))
% 27.94/28.16 (step t274.t2.t114 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.zero)) :rule symm :premises (t274.t2.a4))
% 27.94/28.16 (step t274.t2.t115 (cl (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t114))
% 27.94/28.16 (step t274.t2.t116 (cl (= (tptp.meet (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) :rule trans :premises (t274.t2.t112 t274.t2.t113 t274.t2.t115 t274.t2.t104 t274.t2.t109))
% 27.94/28.16 (step t274.t2.t117 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule cong :premises (t274.t2.t4 t274.t2.t116))
% 27.94/28.16 (step t274.t2.t118 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t274.t2.t117))
% 27.94/28.16 (step t274.t2.t119 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)) (tptp.complement tptp.a))) :rule symm :premises (t274.t2.a7))
% 27.94/28.16 (step t274.t2.t120 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.a))) :rule trans :premises (t274.t2.t111 t274.t2.t118 t274.t2.t119))
% 27.94/28.16 (step t274.t2.t121 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t274.t2.a0 t274.t2.t120))
% 27.94/28.16 (step t274.t2.t122 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t274.t2.t72))
% 27.94/28.16 (step t274.t2.t123 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule trans :premises (t274.t2.t122 t274.t2.t70))
% 27.94/28.16 (step t274.t2.t124 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule cong :premises (t274.t2.t4 t274.t2.t123))
% 27.94/28.16 (step t274.t2.t125 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.complement tptp.a))) :rule symm :premises (t274.t2.a8))
% 27.94/28.16 (step t274.t2.t126 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule symm :premises (t274.t2.t125))
% 27.94/28.16 (step t274.t2.t127 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.complement tptp.a))) :rule symm :premises (t274.t2.t126))
% 27.94/28.16 (step t274.t2.t128 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)) (tptp.complement tptp.a))) :rule trans :premises (t274.t2.t124 t274.t2.t127))
% 27.94/28.16 (step t274.t2.t129 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t274.t2.a0 t274.t2.t128))
% 27.94/28.16 (step t274.t2.t130 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule symm :premises (t274.t2.t129))
% 27.94/28.16 (step t274.t2.t131 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule trans :premises (t274.t2.t121 t274.t2.t130))
% 27.94/28.16 (step t274.t2.t132 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t27 t274.t2.t131))
% 27.94/28.16 (step t274.t2.t133 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)))) :rule cong :premises (t274.t2.a0 t274.t2.t4))
% 27.94/28.16 (step t274.t2.t134 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule trans :premises (t274.t2.t17 t274.t2.t21 t274.t2.t22 t274.t2.t133 t274.t2.t130))
% 27.94/28.16 (step t274.t2.t135 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t27 t274.t2.t134))
% 27.94/28.16 (step t274.t2.t136 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t135))
% 27.94/28.16 (step t274.t2.t137 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule trans :premises (t274.t2.t132 t274.t2.t136))
% 27.94/28.16 (step t274.t2.t138 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule cong :premises (t274.t2.t3 t274.t2.t137))
% 27.94/28.16 (step t274.t2.t139 (cl (= (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.a42))
% 27.94/28.16 (step t274.t2.t140 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t139))
% 27.94/28.16 (step t274.t2.t141 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) :rule symm :premises (t274.t2.a16))
% 27.94/28.16 (step t274.t2.t142 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a41))
% 27.94/28.16 (step t274.t2.t143 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t142))
% 27.94/28.16 (step t274.t2.t144 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))) tptp.zero)) :rule symm :premises (t274.t2.a40))
% 27.94/28.16 (step t274.t2.t145 (cl (= (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule cong :premises (t274.t2.t27 t274.t2.t7))
% 27.94/28.16 (step t274.t2.t146 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t274.t2.t145))
% 27.94/28.16 (step t274.t2.t147 (cl (= (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule symm :premises (t274.t2.a39))
% 27.94/28.16 (step t274.t2.t148 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule trans :premises (t274.t2.t144 t274.t2.t115 t274.t2.t146 t274.t2.t147))
% 27.94/28.16 (step t274.t2.t149 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t3 t274.t2.t148))
% 27.94/28.16 (step t274.t2.t150 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule symm :premises (t274.t2.t147))
% 27.94/28.16 (step t274.t2.t151 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.a18))
% 27.94/28.16 (step t274.t2.t152 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule symm :premises (t274.t2.t151))
% 27.94/28.16 (step t274.t2.t153 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule refl)
% 27.94/28.16 (step t274.t2.t154 (cl (= (tptp.meet (tptp.complement tptp.b) tptp.b) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t104))
% 27.94/28.16 (step t274.t2.t155 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule trans :premises (t274.t2.t108 t274.t2.t154))
% 27.94/28.16 (step t274.t2.t156 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule cong :premises (t274.t2.t155 t274.t2.t4))
% 27.94/28.16 (step t274.t2.t157 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.t156))
% 27.94/28.16 (step t274.t2.t158 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.a3))
% 27.94/28.16 (step t274.t2.t159 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) :rule trans :premises (t274.t2.t157 t274.t2.t158))
% 27.94/28.16 (step t274.t2.t160 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t153 t274.t2.t159))
% 27.94/28.16 (step t274.t2.t161 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule trans :premises (t274.t2.t150 t274.t2.t145 t274.t2.t152 t274.t2.t160))
% 27.94/28.16 (step t274.t2.t162 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule cong :premises (t274.t2.t3 t274.t2.t161))
% 27.94/28.16 (step t274.t2.t163 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule symm :premises (t274.t2.a38))
% 27.94/28.16 (step t274.t2.t164 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule symm :premises (t274.t2.t163))
% 27.94/28.16 (step t274.t2.t165 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule refl)
% 27.94/28.16 (step t274.t2.t166 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a37))
% 27.94/28.16 (step t274.t2.t167 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule symm :premises (t274.t2.t15))
% 27.94/28.16 (step t274.t2.t168 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) :rule trans :premises (t274.t2.t24 t274.t2.t166 t274.t2.t19 t274.t2.t167))
% 27.94/28.16 (step t274.t2.t169 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule cong :premises (t274.t2.t3 t274.t2.t168))
% 27.94/28.16 (step t274.t2.t170 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule symm :premises (t274.t2.t169))
% 27.94/28.16 (step t274.t2.t171 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule trans :premises (t274.t2.a36 t274.t2.t170))
% 27.94/28.16 (step t274.t2.t172 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule cong :premises (t274.t2.t165 t274.t2.t171))
% 27.94/28.16 (step t274.t2.t173 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))) (tptp.complement tptp.b))) :rule symm :premises (t274.t2.a36))
% 27.94/28.16 (step t274.t2.t174 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule symm :premises (t274.t2.a24))
% 27.94/28.16 (step t274.t2.t175 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule symm :premises (t274.t2.t174))
% 27.94/28.16 (step t274.t2.t176 (cl (= (tptp.join tptp.a tptp.b) tptp.b)) :rule trans :premises (t274.t2.t58 t274.t2.t59 t274.t2.t60))
% 27.94/28.16 (step t274.t2.t177 (cl (= (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet tptp.b tptp.b))) :rule cong :premises (t274.t2.t27 t274.t2.t176))
% 27.94/28.16 (step t274.t2.t178 (cl (= (tptp.meet tptp.b tptp.b) tptp.b)) :rule symm :premises (t274.t2.a19))
% 27.94/28.16 (step t274.t2.t179 (cl (= (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) tptp.b)) :rule trans :premises (t274.t2.t177 t274.t2.t178))
% 27.94/28.16 (step t274.t2.t180 (cl (= tptp.b (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule symm :premises (t274.t2.t179))
% 27.94/28.16 (step t274.t2.t181 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule cong :premises (t274.t2.t153 t274.t2.t180))
% 27.94/28.16 (step t274.t2.t182 (cl (= tptp.b (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule trans :premises (t274.t2.t106 t274.t2.t175 t274.t2.t181))
% 27.94/28.16 (step t274.t2.t183 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule symm :premises (t274.t2.t119))
% 27.94/28.16 (step t274.t2.t184 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule symm :premises (t274.t2.t158))
% 27.94/28.16 (step t274.t2.t185 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule trans :premises (t274.t2.t183 t274.t2.t117 t274.t2.t184 t274.t2.t156))
% 27.94/28.16 (step t274.t2.t186 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule cong :premises (t274.t2.t7 t274.t2.t185))
% 27.94/28.16 (step t274.t2.t187 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule trans :premises (t274.t2.t129 t274.t2.t186))
% 27.94/28.16 (step t274.t2.t188 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))) (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t182 t274.t2.t187))
% 27.94/28.16 (step t274.t2.t189 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule symm :premises (t274.t2.a23))
% 27.94/28.16 (step t274.t2.t190 (cl (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule symm :premises (t274.t2.t189))
% 27.94/28.16 (step t274.t2.t191 (cl (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule trans :premises (t274.t2.t152 t274.t2.t160))
% 27.94/28.16 (step t274.t2.t192 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))) :rule symm :premises (t274.t2.t187))
% 27.94/28.16 (step t274.t2.t193 (cl (= (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t179 t274.t2.t192))
% 27.94/28.16 (step t274.t2.t194 (cl (= (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) :rule trans :premises (t274.t2.t193 t274.t2.t136 t274.t2.t141))
% 27.94/28.16 (step t274.t2.t195 (cl (= (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule cong :premises (t274.t2.t191 t274.t2.t194))
% 27.94/28.16 (step t274.t2.t196 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule trans :premises (t274.t2.t135 t274.t2.t188 t274.t2.t190 t274.t2.t195))
% 27.94/28.16 (step t274.t2.t197 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule cong :premises (t274.t2.t3 t274.t2.t196))
% 27.94/28.16 (step t274.t2.t198 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule trans :premises (t274.t2.t169 t274.t2.t173 t274.t2.t35 t274.t2.t40 t274.t2.t98 t274.t2.t100 t274.t2.t138 t274.t2.t197))
% 27.94/28.16 (step t274.t2.t199 (cl (= (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))) :rule cong :premises (t274.t2.t165 t274.t2.t198))
% 27.94/28.16 (step t274.t2.t200 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))) :rule trans :premises (t274.t2.t143 t274.t2.t149 t274.t2.t162 t274.t2.t164 t274.t2.t172 t274.t2.t199))
% 27.94/28.16 (step t274.t2.t201 (cl (= (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) :rule cong :premises (t274.t2.t141 t274.t2.t200))
% 27.94/28.16 (step t274.t2.t202 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) :rule trans :premises (t274.t2.t35 t274.t2.t40 t274.t2.t98 t274.t2.t100 t274.t2.t138 t274.t2.t140 t274.t2.t201))
% 27.94/28.16 (step t274.t2.t203 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule cong :premises (t274.t2.t33 t274.t2.t202))
% 27.94/28.16 (step t274.t2.t204 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) :rule symm :premises (t274.t2.a17))
% 27.94/28.16 (step t274.t2.t205 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule symm :premises (t274.t2.t141))
% 27.94/28.16 (step t274.t2.t206 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule cong :premises (t274.t2.t27 t274.t2.t187))
% 27.94/28.16 (step t274.t2.t207 (cl (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule trans :premises (t274.t2.t2 t274.t2.a34 t274.t2.t28 t274.t2.t30 t274.t2.t32 t274.t2.t203 t274.t2.t204 t274.t2.t205 t274.t2.t135 t274.t2.t206))
% 27.94/28.16 (step t274.t2 (cl (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule subproof :discharge (t274.t2.a0 t274.t2.a1 t274.t2.a2 t274.t2.a3 t274.t2.a4 t274.t2.a5 t274.t2.a6 t274.t2.a7 t274.t2.a8 t274.t2.a9 t274.t2.a10 t274.t2.a11 t274.t2.a12 t274.t2.a13 t274.t2.a14 t274.t2.a15 t274.t2.a16 t274.t2.a17 t274.t2.a18 t274.t2.a19 t274.t2.a20 t274.t2.a21 t274.t2.a22 t274.t2.a23 t274.t2.a24 t274.t2.a25 t274.t2.a26 t274.t2.a27 t274.t2.a28 t274.t2.a29 t274.t2.a30 t274.t2.a31 t274.t2.a32 t274.t2.a33 t274.t2.a34 t274.t2.a35 t274.t2.a36 t274.t2.a37 t274.t2.a38 t274.t2.a39 t274.t2.a40 t274.t2.a41 t274.t2.a42 t274.t2.a43 t274.t2.a44))
% 27.94/28.16 (step t274.t3 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.16 (step t274.t4 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t5 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.16 (step t274.t6 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t7 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t8 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t9 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.16 (step t274.t10 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t11 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.94/28.16 (step t274.t12 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t13 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t14 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.16 (step t274.t15 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t16 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t17 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.16 (step t274.t18 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t19 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.16 (step t274.t20 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule and_pos)
% 27.94/28.16 (step t274.t21 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.16 (step t274.t22 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t23 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule and_pos)
% 27.94/28.16 (step t274.t24 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t25 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.a (tptp.meet tptp.b tptp.a))) :rule and_pos)
% 27.94/28.16 (step t274.t26 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule and_pos)
% 27.94/28.16 (step t274.t27 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t28 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.16 (step t274.t29 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.16 (step t274.t30 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t31 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule and_pos)
% 27.94/28.16 (step t274.t32 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t33 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.16 (step t274.t34 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t35 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule and_pos)
% 27.94/28.16 (step t274.t36 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t37 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.94/28.16 (step t274.t38 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t39 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.16 (step t274.t40 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.16 (step t274.t41 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t42 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.16 (step t274.t43 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.16 (step t274.t44 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.16 (step t274.t45 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t46 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t47 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule and_pos)
% 27.94/28.16 (step t274.t48 (cl (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))) :rule resolution :premises (t274.t2 t274.t3 t274.t4 t274.t5 t274.t6 t274.t7 t274.t8 t274.t9 t274.t10 t274.t11 t274.t12 t274.t13 t274.t14 t274.t15 t274.t16 t274.t17 t274.t18 t274.t19 t274.t20 t274.t21 t274.t22 t274.t23 t274.t24 t274.t25 t274.t26 t274.t27 t274.t28 t274.t29 t274.t30 t274.t31 t274.t32 t274.t33 t274.t34 t274.t35 t274.t36 t274.t37 t274.t38 t274.t39 t274.t40 t274.t41 t274.t42 t274.t43 t274.t44 t274.t45 t274.t46 t274.t47))
% 27.94/28.16 (step t274.t49 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule reordering :premises (t274.t48))
% 27.94/28.17 (step t274.t50 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule contraction :premises (t274.t49))
% 27.94/28.17 (step t274.t51 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t274.t1 t274.t50))
% 27.94/28.17 (step t274.t52 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.17 (step t274.t53 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t274.t51 t274.t52))
% 27.94/28.17 (step t274.t54 (cl (=> (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule contraction :premises (t274.t53))
% 27.94/28.17 (step t274.t55 (cl (not (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t274.t54))
% 27.94/28.17 (step t274.t56 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule and_neg)
% 27.94/28.17 (step t274.t57 (cl (and (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule resolution :premises (t274.t56 t274.a1 t274.a15 t274.a12 t274.a32 t274.a6 t274.a7 t274.a13 t274.a29 t274.a28 t274.a4 t274.a5 t274.a16 t274.a23 t274.a14 t274.a11 t274.a3 t274.a34 t274.a44 t274.a35 t274.a8 t274.a2 t274.a17 t274.a0 t274.a41 t274.a30 t274.a20 t274.a42 t274.a33 t274.a31 t274.a39 t274.a9 t274.a25 t274.a40 t274.a36 t274.a18 t274.a26 t274.a22 t274.a10 t274.a37 t274.a19 t274.a21 t274.a27 t274.a43 t274.a38 t274.a24))
% 27.94/28.17 (step t274.t58 (cl (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t274.t55 t274.t57))
% 27.94/28.17 (step t274 (cl (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule subproof :discharge (t274.a0 t274.a1 t274.a2 t274.a3 t274.a4 t274.a5 t274.a6 t274.a7 t274.a8 t274.a9 t274.a10 t274.a11 t274.a12 t274.a13 t274.a14 t274.a15 t274.a16 t274.a17 t274.a18 t274.a19 t274.a20 t274.a21 t274.a22 t274.a23 t274.a24 t274.a25 t274.a26 t274.a27 t274.a28 t274.a29 t274.a30 t274.a31 t274.a32 t274.a33 t274.a34 t274.a35 t274.a36 t274.a37 t274.a38 t274.a39 t274.a40 t274.a41 t274.a42 t274.a43 t274.a44))
% 27.94/28.17 (step t275 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.a (tptp.meet tptp.b tptp.a))) :rule and_pos)
% 27.94/28.17 (step t276 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.17 (step t277 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t278 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t279 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t280 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t281 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t282 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t283 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule and_pos)
% 27.94/28.17 (step t284 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.17 (step t285 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.17 (step t286 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.17 (step t287 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.17 (step t288 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.17 (step t289 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t290 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t291 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) :rule and_pos)
% 27.94/28.17 (step t292 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t293 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t294 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule and_pos)
% 27.94/28.17 (step t295 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.17 (step t296 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule and_pos)
% 27.94/28.17 (step t297 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.17 (step t298 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t299 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t300 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t301 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t302 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.17 (step t303 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule and_pos)
% 27.94/28.17 (step t304 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t305 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t306 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule and_pos)
% 27.94/28.17 (step t307 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) :rule and_pos)
% 27.94/28.17 (step t308 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t309 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule and_pos)
% 27.94/28.17 (step t310 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule and_pos)
% 27.94/28.17 (step t311 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t312 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t313 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t314 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule and_pos)
% 27.94/28.17 (step t315 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule and_pos)
% 27.94/28.17 (step t316 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule and_pos)
% 27.94/28.17 (step t317 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule and_pos)
% 27.94/28.17 (step t318 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule and_pos)
% 27.94/28.17 (step t319 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule and_pos)
% 27.94/28.17 (step t320 (cl (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))))) :rule resolution :premises (t274 t275 t276 t277 t278 t279 t280 t281 t282 t283 t284 t285 t286 t287 t288 t289 t290 t291 t292 t293 t294 t295 t296 t297 t298 t299 t300 t301 t302 t303 t304 t305 t306 t307 t308 t309 t310 t311 t312 t313 t314 t315 t316 t317 t318 t319))
% 27.94/28.17 (step t321 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule reordering :premises (t320))
% 27.94/28.17 (step t322 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule contraction :premises (t321))
% 27.94/28.17 (step t323 (cl (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t273 t322))
% 27.94/28.17 (step t324 (cl (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.17 (step t325 (cl (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t323 t324))
% 27.94/28.17 (step t326 (cl (=> (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule contraction :premises (t325))
% 27.94/28.17 (step t327 (cl (not (and (= tptp.a (tptp.meet tptp.b tptp.a)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))) (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b))) (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a))) (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b))) (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a))) (= tptp.b (tptp.meet tptp.b tptp.b)) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a)) (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b)) (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a)) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t326))
% 27.94/28.17 (step t328 (cl (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t272 t327))
% 27.94/28.17 (step t329 (cl (not (= tptp.a (tptp.meet tptp.b tptp.a))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.b (tptp.complement tptp.b)))) (not (= tptp.one (tptp.join tptp.a (tptp.complement tptp.a)))) (not (= tptp.zero (tptp.meet tptp.b (tptp.complement tptp.b)))) (not (= tptp.zero (tptp.meet tptp.a (tptp.complement tptp.a)))) (not (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) tptp.a))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.a (tptp.complement tptp.a)) (tptp.join (tptp.complement tptp.a) tptp.a))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule reordering :premises (t328))
% 27.94/28.17 (step t330 (cl (= tptp.a (tptp.meet tptp.b tptp.a))) :rule symm :premises (a12))
% 27.94/28.17 (step t331 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t332)
% 27.94/28.17 (assume t332.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.17 (step t332.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 27.94/28.17 (step t332.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule or :premises (t332.t1))
% 27.94/28.17 (step t332.t3 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule resolution :premises (t332.t2 t332.a0))
% 27.94/28.17 (step t332 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule subproof :discharge (t332.a0))
% 27.94/28.17 (step t333 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule resolution :premises (t331 t332))
% 27.94/28.17 (step t334 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (not (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))) :rule implies_neg2)
% 27.94/28.17 (step t335 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))) :rule resolution :premises (t333 t334))
% 27.94/28.17 (step t336 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a))))) :rule contraction :premises (t335))
% 27.94/28.17 (step t337 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule implies :premises (t336))
% 27.94/28.17 (step t338 (cl (= tptp.b (tptp.join tptp.b (tptp.meet tptp.b tptp.a)))) :rule resolution :premises (t337 t146))
% 27.94/28.17 (step t339 (cl (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b))) (forall ((X $$unsorted)) (= X (tptp.meet X X)))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t340)
% 27.94/28.17 (assume t340.a0 (forall ((X $$unsorted)) (= X (tptp.meet X X))))
% 27.94/28.17 (step t340.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.meet X X)))) (= tptp.b (tptp.meet tptp.b tptp.b)))) :rule forall_inst :args ((:= X tptp.b)))
% 27.94/28.17 (step t340.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.meet X X)))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule or :premises (t340.t1))
% 27.94/28.17 (step t340.t3 (cl (= tptp.b (tptp.meet tptp.b tptp.b))) :rule resolution :premises (t340.t2 t340.a0))
% 27.94/28.17 (step t340 (cl (not (forall ((X $$unsorted)) (= X (tptp.meet X X)))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule subproof :discharge (t340.a0))
% 27.94/28.17 (step t341 (cl (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule resolution :premises (t339 t340))
% 27.94/28.17 (step t342 (cl (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b))) (not (= tptp.b (tptp.meet tptp.b tptp.b)))) :rule implies_neg2)
% 27.94/28.17 (step t343 (cl (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b))) (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b)))) :rule resolution :premises (t341 t342))
% 27.94/28.17 (step t344 (cl (=> (forall ((X $$unsorted)) (= X (tptp.meet X X))) (= tptp.b (tptp.meet tptp.b tptp.b)))) :rule contraction :premises (t343))
% 27.94/28.17 (step t345 (cl (not (forall ((X $$unsorted)) (= X (tptp.meet X X)))) (= tptp.b (tptp.meet tptp.b tptp.b))) :rule implies :premises (t344))
% 27.94/28.17 (step t346 (cl (not (= (forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= X (tptp.meet X X))))) (not (forall ((X $$unsorted)) (= (tptp.meet X X) X))) (forall ((X $$unsorted)) (= X (tptp.meet X X)))) :rule equiv_pos2)
% 27.94/28.17 (anchor :step t347 :args ((X $$unsorted) (:= X X)))
% 27.94/28.17 (step t347.t1 (cl (= X X)) :rule refl)
% 27.94/28.17 (step t347.t2 (cl (= (= (tptp.meet X X) X) (= X (tptp.meet X X)))) :rule all_simplify)
% 27.94/28.17 (step t347 (cl (= (forall ((X $$unsorted)) (= (tptp.meet X X) X)) (forall ((X $$unsorted)) (= X (tptp.meet X X))))) :rule bind)
% 27.94/28.17 (step t348 (cl (forall ((X $$unsorted)) (= X (tptp.meet X X)))) :rule resolution :premises (t346 t347 a0))
% 27.94/28.17 (step t349 (cl (= tptp.b (tptp.meet tptp.b tptp.b))) :rule resolution :premises (t345 t348))
% 27.94/28.17 (step t350 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t351)
% 27.94/28.17 (assume t351.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.17 (step t351.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b))))
% 27.94/28.17 (step t351.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule or :premises (t351.t1))
% 27.94/28.17 (step t351.t3 (cl (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t351.t2 t351.a0))
% 27.94/28.17 (step t351 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule subproof :discharge (t351.a0))
% 27.94/28.17 (step t352 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t350 t351))
% 27.94/28.17 (step t353 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))) :rule implies_neg2)
% 27.94/28.17 (step t354 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))) :rule resolution :premises (t352 t353))
% 27.94/28.17 (step t355 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b)))))) :rule contraction :premises (t354))
% 27.94/28.17 (step t356 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule implies :premises (t355))
% 27.94/28.17 (step t357 (cl (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))))) :rule resolution :premises (t356 t89))
% 27.94/28.17 (step t358 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t359)
% 27.94/28.17 (assume t359.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.17 (step t359.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet tptp.b tptp.a))))
% 27.94/28.17 (step t359.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule or :premises (t359.t1))
% 27.94/28.17 (step t359.t3 (cl (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule resolution :premises (t359.t2 t359.a0))
% 27.94/28.17 (step t359 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule subproof :discharge (t359.a0))
% 27.94/28.17 (step t360 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule resolution :premises (t358 t359))
% 27.94/28.17 (step t361 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (not (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))) :rule implies_neg2)
% 27.94/28.17 (step t362 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))) :rule resolution :premises (t360 t361))
% 27.94/28.17 (step t363 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b)))) :rule contraction :premises (t362))
% 27.94/28.17 (step t364 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule implies :premises (t363))
% 27.94/28.17 (step t365 (cl (= (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.join (tptp.meet tptp.b tptp.a) tptp.b))) :rule resolution :premises (t364 a5))
% 27.94/28.17 (step t366 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t367)
% 27.94/28.17 (assume t367.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.17 (step t367.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b))))
% 27.94/28.17 (step t367.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule or :premises (t367.t1))
% 27.94/28.17 (step t367.t3 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t367.t2 t367.a0))
% 27.94/28.17 (step t367 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule subproof :discharge (t367.a0))
% 27.94/28.17 (step t368 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t366 t367))
% 27.94/28.17 (step t369 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule implies_neg2)
% 27.94/28.17 (step t370 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule resolution :premises (t368 t369))
% 27.94/28.17 (step t371 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule contraction :premises (t370))
% 27.94/28.17 (step t372 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule implies :premises (t371))
% 27.94/28.17 (step t373 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) tptp.b))) :rule resolution :premises (t372 a5))
% 27.94/28.17 (step t374 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t375)
% 27.94/28.17 (assume t375.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.94/28.17 (step t375.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.complement tptp.b)) (:= Z (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))
% 27.94/28.17 (step t375.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule or :premises (t375.t1))
% 27.94/28.17 (step t375.t3 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t375.t2 t375.a0))
% 27.94/28.17 (step t375 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule subproof :discharge (t375.a0))
% 27.94/28.17 (step t376 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t374 t375))
% 27.94/28.17 (step t377 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (not (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 27.94/28.17 (step t378 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule resolution :premises (t376 t377))
% 27.94/28.17 (step t379 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))) :rule contraction :premises (t378))
% 27.94/28.17 (step t380 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule implies :premises (t379))
% 27.94/28.17 (step t381 (cl (= (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))) (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) :rule resolution :premises (t380 a6))
% 27.94/28.17 (step t382 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t383)
% 27.94/28.17 (assume t383.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 27.94/28.17 (step t383.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet tptp.b tptp.a)) (:= Z (tptp.complement tptp.b))))
% 27.94/28.17 (step t383.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule or :premises (t383.t1))
% 27.94/28.17 (step t383.t3 (cl (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t383.t2 t383.a0))
% 27.94/28.17 (step t383 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule subproof :discharge (t383.a0))
% 27.94/28.17 (step t384 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t382 t383))
% 27.94/28.17 (step t385 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 27.94/28.17 (step t386 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) :rule resolution :premises (t384 t385))
% 27.94/28.17 (step t387 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) :rule contraction :premises (t386))
% 27.94/28.17 (step t388 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule implies :premises (t387))
% 27.94/28.17 (step t389 (cl (= (tptp.join (tptp.join tptp.b (tptp.meet tptp.b tptp.a)) (tptp.complement tptp.b)) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t388 a7))
% 27.94/28.17 (step t390 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t391)
% 27.94/28.17 (assume t391.a0 (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))))
% 27.94/28.17 (step t391.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b))))
% 27.94/28.17 (step t391.t2 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule or :premises (t391.t1))
% 27.94/28.17 (step t391.t3 (cl (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t391.t2 t391.a0))
% 27.94/28.17 (step t391 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule subproof :discharge (t391.a0))
% 27.94/28.17 (step t392 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t390 t391))
% 27.94/28.17 (step t393 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (not (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule implies_neg2)
% 27.94/28.17 (step t394 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule resolution :premises (t392 t393))
% 27.94/28.17 (step t395 (cl (=> (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X)))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule contraction :premises (t394))
% 27.94/28.17 (step t396 (cl (not (forall ((X $$unsorted)) (= tptp.zero (tptp.meet X (tptp.complement X))))) (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule implies :premises (t395))
% 27.94/28.17 (step t397 (cl (= tptp.zero (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t396 t127))
% 27.94/28.17 (step t398 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t399)
% 27.94/28.17 (assume t399.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 27.94/28.17 (step t399.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (:= Z tptp.b)))
% 27.94/28.17 (step t399.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule or :premises (t399.t1))
% 27.94/28.17 (step t399.t3 (cl (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule resolution :premises (t399.t2 t399.a0))
% 27.94/28.17 (step t399 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule subproof :discharge (t399.a0))
% 27.94/28.17 (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule resolution :premises (t398 t399))
% 27.94/28.17 (step t401 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (not (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule implies_neg2)
% 27.94/28.17 (step t402 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule resolution :premises (t400 t401))
% 27.94/28.17 (step t403 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))) :rule contraction :premises (t402))
% 27.94/28.17 (step t404 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule implies :premises (t403))
% 27.94/28.17 (step t405 (cl (= (tptp.join (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))) :rule resolution :premises (t404 a7))
% 27.94/28.17 (step t406 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t407)
% 27.94/28.17 (assume t407.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.17 (step t407.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.join tptp.b (tptp.complement tptp.b)))))
% 27.94/28.17 (step t407.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule or :premises (t407.t1))
% 27.94/28.17 (step t407.t3 (cl (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t407.t2 t407.a0))
% 27.94/28.17 (step t407 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule subproof :discharge (t407.a0))
% 27.94/28.17 (step t408 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t406 t407))
% 27.94/28.17 (step t409 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule implies_neg2)
% 27.94/28.17 (step t410 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule resolution :premises (t408 t409))
% 27.94/28.17 (step t411 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule contraction :premises (t410))
% 27.94/28.17 (step t412 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule implies :premises (t411))
% 27.94/28.17 (step t413 (cl (= (tptp.meet tptp.b (tptp.join tptp.b (tptp.complement tptp.b))) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t412 a4))
% 27.94/28.17 (step t414 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t415)
% 27.94/28.17 (assume t415.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.17 (step t415.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y tptp.b)))
% 27.94/28.17 (step t415.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule or :premises (t415.t1))
% 27.94/28.17 (step t415.t3 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule resolution :premises (t415.t2 t415.a0))
% 27.94/28.17 (step t415 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule subproof :discharge (t415.a0))
% 27.94/28.17 (step t416 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule resolution :premises (t414 t415))
% 27.94/28.17 (step t417 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (not (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))) :rule implies_neg2)
% 27.94/28.17 (step t418 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))) :rule resolution :premises (t416 t417))
% 27.94/28.17 (step t419 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b))))) :rule contraction :premises (t418))
% 27.94/28.17 (step t420 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule implies :premises (t419))
% 27.94/28.17 (step t421 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) tptp.b)))) :rule resolution :premises (t420 t89))
% 27.94/28.17 (step t422 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t423)
% 27.94/28.17 (assume t423.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.17 (step t423.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.complement (tptp.complement tptp.b)))))
% 27.94/28.17 (step t423.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule or :premises (t423.t1))
% 27.94/28.17 (step t423.t3 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule resolution :premises (t423.t2 t423.a0))
% 27.94/28.17 (step t423 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule subproof :discharge (t423.a0))
% 27.94/28.17 (step t424 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule resolution :premises (t422 t423))
% 27.94/28.17 (step t425 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (not (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))) :rule implies_neg2)
% 27.94/28.17 (step t426 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))) :rule resolution :premises (t424 t425))
% 27.94/28.17 (step t427 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b))))))) :rule contraction :premises (t426))
% 27.94/28.17 (step t428 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule implies :premises (t427))
% 27.94/28.17 (step t429 (cl (= (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.complement (tptp.complement tptp.b)))))) :rule resolution :premises (t428 t146))
% 27.94/28.17 (step t430 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t431)
% 27.94/28.17 (assume t431.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.17 (step t431.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))
% 27.94/28.17 (step t431.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule or :premises (t431.t1))
% 27.94/28.17 (step t431.t3 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t431.t2 t431.a0))
% 27.94/28.17 (step t431 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule subproof :discharge (t431.a0))
% 27.94/28.17 (step t432 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t430 t431))
% 27.94/28.17 (step t433 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule implies_neg2)
% 27.94/28.17 (step t434 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule resolution :premises (t432 t433))
% 27.94/28.17 (step t435 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule contraction :premises (t434))
% 27.94/28.17 (step t436 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule implies :premises (t435))
% 27.94/28.17 (step t437 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))) :rule resolution :premises (t436 t146))
% 27.94/28.17 (step t438 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t439)
% 27.94/28.17 (assume t439.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.17 (step t439.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet tptp.b (tptp.complement tptp.b)))))
% 27.94/28.17 (step t439.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule or :premises (t439.t1))
% 27.94/28.17 (step t439.t3 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t439.t2 t439.a0))
% 27.94/28.17 (step t439 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule subproof :discharge (t439.a0))
% 27.94/28.17 (step t440 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t438 t439))
% 27.94/28.17 (step t441 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (not (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule implies_neg2)
% 27.94/28.17 (step t442 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule resolution :premises (t440 t441))
% 27.94/28.17 (step t443 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule contraction :premises (t442))
% 27.94/28.17 (step t444 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule implies :premises (t443))
% 27.94/28.17 (step t445 (cl (= (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) tptp.b))) :rule resolution :premises (t444 a5))
% 27.94/28.17 (step t446 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) :rule implies_neg1)
% 27.94/28.17 (anchor :step t447)
% 27.94/28.17 (assume t447.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))))
% 27.94/28.17 (step t447.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y tptp.b) (:= Z (tptp.complement tptp.a)) (:= U (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))
% 27.94/28.17 (step t447.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule or :premises (t447.t1))
% 27.94/28.17 (step t447.t3 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule resolution :premises (t447.t2 t447.a0))
% 27.94/28.17 (step t447 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule subproof :discharge (t447.a0))
% 27.94/28.17 (step t448 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule resolution :premises (t446 t447))
% 27.94/28.17 (step t449 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))) :rule implies_neg2)
% 27.94/28.17 (step t450 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))) :rule resolution :premises (t448 t449))
% 27.94/28.17 (step t451 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))))))) :rule contraction :premises (t450))
% 27.94/28.17 (step t452 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule implies :premises (t451))
% 27.94/28.17 (step t453 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))) :rule resolution :premises (t452 a11))
% 27.94/28.18 (step t454 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t455)
% 27.94/28.18 (assume t455.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t455.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))
% 27.94/28.18 (step t455.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule or :premises (t455.t1))
% 27.94/28.18 (step t455.t3 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule resolution :premises (t455.t2 t455.a0))
% 27.94/28.18 (step t455 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule subproof :discharge (t455.a0))
% 27.94/28.18 (step t456 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule resolution :premises (t454 t455))
% 27.94/28.18 (step t457 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))) :rule implies_neg2)
% 27.94/28.18 (step t458 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))) :rule resolution :premises (t456 t457))
% 27.94/28.18 (step t459 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b)))) :rule contraction :premises (t458))
% 27.94/28.18 (step t460 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule implies :premises (t459))
% 27.94/28.18 (step t461 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) tptp.b))) :rule resolution :premises (t460 a5))
% 27.94/28.18 (step t462 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t463)
% 27.94/28.18 (assume t463.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t463.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (:= Y tptp.b)))
% 27.94/28.18 (step t463.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule or :premises (t463.t1))
% 27.94/28.18 (step t463.t3 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t463.t2 t463.a0))
% 27.94/28.18 (step t463 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule subproof :discharge (t463.a0))
% 27.94/28.18 (step t464 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t462 t463))
% 27.94/28.18 (step t465 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule implies_neg2)
% 27.94/28.18 (step t466 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule resolution :premises (t464 t465))
% 27.94/28.18 (step t467 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) :rule contraction :premises (t466))
% 27.94/28.18 (step t468 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule implies :premises (t467))
% 27.94/28.18 (step t469 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))) :rule resolution :premises (t468 a5))
% 27.94/28.18 (step t470 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t471)
% 27.94/28.18 (assume t471.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.18 (step t471.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule forall_inst :args ((:= X (tptp.join tptp.b (tptp.complement tptp.b))) (:= Y tptp.b)))
% 27.94/28.18 (step t471.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule or :premises (t471.t1))
% 27.94/28.18 (step t471.t3 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule resolution :premises (t471.t2 t471.a0))
% 27.94/28.18 (step t471 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule subproof :discharge (t471.a0))
% 27.94/28.18 (step t472 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule resolution :premises (t470 t471))
% 27.94/28.18 (step t473 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (not (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule implies_neg2)
% 27.94/28.18 (step t474 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule resolution :premises (t472 t473))
% 27.94/28.18 (step t475 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule contraction :premises (t474))
% 27.94/28.18 (step t476 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule implies :premises (t475))
% 27.94/28.18 (step t477 (cl (= (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.join tptp.b (tptp.complement tptp.b)) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))) :rule resolution :premises (t476 t146))
% 27.94/28.18 (step t478 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t479)
% 27.94/28.18 (assume t479.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t479.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))))
% 27.94/28.18 (step t479.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule or :premises (t479.t1))
% 27.94/28.18 (step t479.t3 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule resolution :premises (t479.t2 t479.a0))
% 27.94/28.18 (step t479 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule subproof :discharge (t479.a0))
% 27.94/28.18 (step t480 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule resolution :premises (t478 t479))
% 27.94/28.18 (step t481 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.18 (step t482 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))) :rule resolution :premises (t480 t481))
% 27.94/28.18 (step t483 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b))))) :rule contraction :premises (t482))
% 27.94/28.18 (step t484 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule implies :premises (t483))
% 27.94/28.18 (step t485 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.complement tptp.b)))) :rule resolution :premises (t484 a5))
% 27.94/28.18 (step t486 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t487)
% 27.94/28.18 (assume t487.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t487.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))
% 27.94/28.18 (step t487.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule or :premises (t487.t1))
% 27.94/28.18 (step t487.t3 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule resolution :premises (t487.t2 t487.a0))
% 27.94/28.18 (step t487 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule subproof :discharge (t487.a0))
% 27.94/28.18 (step t488 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule resolution :premises (t486 t487))
% 27.94/28.18 (step t489 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.18 (step t490 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))) :rule resolution :premises (t488 t489))
% 27.94/28.18 (step t491 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b))))) :rule contraction :premises (t490))
% 27.94/28.18 (step t492 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule implies :premises (t491))
% 27.94/28.18 (step t493 (cl (= (tptp.join (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.complement tptp.b)))) :rule resolution :premises (t492 a5))
% 27.94/28.18 (step t494 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t495)
% 27.94/28.18 (assume t495.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t495.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))))))
% 27.94/28.18 (step t495.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule or :premises (t495.t1))
% 27.94/28.18 (step t495.t3 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule resolution :premises (t495.t2 t495.a0))
% 27.94/28.18 (step t495 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule subproof :discharge (t495.a0))
% 27.94/28.18 (step t496 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule resolution :premises (t494 t495))
% 27.94/28.18 (step t497 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (not (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))) :rule implies_neg2)
% 27.94/28.18 (step t498 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))) :rule resolution :premises (t496 t497))
% 27.94/28.18 (step t499 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b)))) :rule contraction :premises (t498))
% 27.94/28.18 (step t500 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule implies :premises (t499))
% 27.94/28.18 (step t501 (cl (= (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) tptp.b))) :rule resolution :premises (t500 a5))
% 27.94/28.18 (step t502 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t503)
% 27.94/28.18 (assume t503.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 27.94/28.18 (step t503.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y tptp.a) (:= Z (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))
% 27.94/28.18 (step t503.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule or :premises (t503.t1))
% 27.94/28.18 (step t503.t3 (cl (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule resolution :premises (t503.t2 t503.a0))
% 27.94/28.18 (step t503 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule subproof :discharge (t503.a0))
% 27.94/28.18 (step t504 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule resolution :premises (t502 t503))
% 27.94/28.18 (step t505 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (not (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))) :rule implies_neg2)
% 27.94/28.18 (step t506 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))) :rule resolution :premises (t504 t505))
% 27.94/28.18 (step t507 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)))))) :rule contraction :premises (t506))
% 27.94/28.18 (step t508 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule implies :premises (t507))
% 27.94/28.18 (step t509 (cl (= (tptp.join (tptp.join (tptp.complement tptp.a) tptp.a) (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.join tptp.a (tptp.meet (tptp.join tptp.b (tptp.complement tptp.b)) tptp.b))))) :rule resolution :premises (t508 a7))
% 27.94/28.18 (step t510 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t511)
% 27.94/28.18 (assume t511.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 27.94/28.18 (step t511.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule forall_inst :args ((:= X (tptp.meet tptp.b (tptp.complement tptp.b))) (:= Y (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (:= Z (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))
% 27.94/28.18 (step t511.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule or :premises (t511.t1))
% 27.94/28.18 (step t511.t3 (cl (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t511.t2 t511.a0))
% 27.94/28.18 (step t511 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule subproof :discharge (t511.a0))
% 27.94/28.18 (step t512 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t510 t511))
% 27.94/28.18 (step t513 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (not (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule implies_neg2)
% 27.94/28.18 (step t514 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule resolution :premises (t512 t513))
% 27.94/28.18 (step t515 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule contraction :premises (t514))
% 27.94/28.18 (step t516 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule implies :premises (t515))
% 27.94/28.18 (step t517 (cl (= (tptp.join (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t516 a7))
% 27.94/28.18 (step t518 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t519)
% 27.94/28.18 (assume t519.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))))
% 27.94/28.18 (step t519.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y tptp.b) (:= Z (tptp.complement tptp.b)) (:= U (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))
% 27.94/28.18 (step t519.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule or :premises (t519.t1))
% 27.94/28.18 (step t519.t3 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule resolution :premises (t519.t2 t519.a0))
% 27.94/28.18 (step t519 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule subproof :discharge (t519.a0))
% 27.94/28.18 (step t520 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule resolution :premises (t518 t519))
% 27.94/28.18 (step t521 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule implies_neg2)
% 27.94/28.18 (step t522 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule resolution :premises (t520 t521))
% 27.94/28.18 (step t523 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))))) :rule contraction :premises (t522))
% 27.94/28.18 (step t524 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule implies :premises (t523))
% 27.94/28.18 (step t525 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))))))) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.join (tptp.meet tptp.b tptp.a) (tptp.complement tptp.b)))) (tptp.meet tptp.b (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule resolution :premises (t524 a11))
% 27.94/28.18 (step t526 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t527)
% 27.94/28.18 (assume t527.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.18 (step t527.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.complement tptp.b)) (:= Y (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))
% 27.94/28.18 (step t527.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule or :premises (t527.t1))
% 27.94/28.18 (step t527.t3 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule resolution :premises (t527.t2 t527.a0))
% 27.94/28.18 (step t527 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule subproof :discharge (t527.a0))
% 27.94/28.18 (step t528 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule resolution :premises (t526 t527))
% 27.94/28.18 (step t529 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.18 (step t530 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))) :rule resolution :premises (t528 t529))
% 27.94/28.18 (step t531 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b))))) :rule contraction :premises (t530))
% 27.94/28.18 (step t532 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule implies :premises (t531))
% 27.94/28.18 (step t533 (cl (= (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))) (tptp.complement tptp.b)))) :rule resolution :premises (t532 a4))
% 27.94/28.18 (step t534 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t535)
% 27.94/28.18 (assume t535.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.18 (step t535.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)) (:= Y (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))
% 27.94/28.18 (step t535.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule or :premises (t535.t1))
% 27.94/28.18 (step t535.t3 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule resolution :premises (t535.t2 t535.a0))
% 27.94/28.18 (step t535 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule subproof :discharge (t535.a0))
% 27.94/28.18 (step t536 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule resolution :premises (t534 t535))
% 27.94/28.18 (step t537 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule implies_neg2)
% 27.94/28.18 (step t538 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule resolution :premises (t536 t537))
% 27.94/28.18 (step t539 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b))))))))) :rule contraction :premises (t538))
% 27.94/28.18 (step t540 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule implies :premises (t539))
% 27.94/28.18 (step t541 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.meet (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) tptp.b)))))))) :rule resolution :premises (t540 t146))
% 27.94/28.18 (step t542 (cl (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t329 t330 t90 t338 t98 t109 t117 t128 t136 t349 t357 t147 t155 t163 t171 t179 t187 t195 t365 t373 t381 t389 t397 t203 t211 t405 t413 t421 t429 t437 t219 t445 t453 t254 t461 t469 t262 t477 t485 t493 t501 t509 t517 t525 t533 t541))
% 27.94/28.18 (step t543 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule equiv_pos2)
% 27.94/28.18 (step t544 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))) :rule refl)
% 27.94/28.18 (step t545 (cl (= (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule refl)
% 27.94/28.18 (step t546 (cl (= (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule refl)
% 27.94/28.18 (step t547 (cl (= (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule all_simplify)
% 27.94/28.18 (step t548 (cl (= (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule cong :premises (t545 t546 t547))
% 27.94/28.18 (step t549 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule cong :premises (t544 t548))
% 27.94/28.18 (step t550 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t551)
% 27.94/28.18 (assume t551.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))
% 27.94/28.18 (step t551.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))
% 27.94/28.18 (step t551.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) :rule or :premises (t551.t1))
% 27.94/28.18 (step t551.t3 (cl (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) :rule resolution :premises (t551.t2 t551.a0))
% 27.94/28.18 (step t551 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) :rule subproof :discharge (t551.a0))
% 27.94/28.18 (step t552 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) :rule resolution :premises (t550 t551))
% 27.94/28.18 (step t553 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (not (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))))) :rule implies_neg2)
% 27.94/28.18 (step t554 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))))) :rule resolution :premises (t552 t553))
% 27.94/28.18 (step t555 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))) (tptp.complement tptp.b))))) :rule contraction :premises (t554))
% 27.94/28.18 (step t556 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t543 t549 t555))
% 27.94/28.18 (step t557 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t556))
% 27.94/28.18 (step t558 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) :rule equiv_pos2)
% 27.94/28.18 (anchor :step t559 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 27.94/28.18 (step t559.t1 (cl (= X X)) :rule refl)
% 27.94/28.18 (step t559.t2 (cl (= Y Y)) :rule refl)
% 27.94/28.18 (step t559.t3 (cl (= (= (tptp.meet X Y) tptp.zero) (= tptp.zero (tptp.meet X Y)))) :rule all_simplify)
% 27.94/28.18 (step t559.t4 (cl (= (not (= (tptp.meet X Y) tptp.zero)) (not (= tptp.zero (tptp.meet X Y))))) :rule cong :premises (t559.t3))
% 27.94/28.18 (step t559.t5 (cl (= (= (tptp.join X Y) tptp.one) (= tptp.one (tptp.join X Y)))) :rule all_simplify)
% 27.94/28.18 (step t559.t6 (cl (= (not (= (tptp.join X Y) tptp.one)) (not (= tptp.one (tptp.join X Y))))) :rule cong :premises (t559.t5))
% 27.94/28.18 (step t559.t7 (cl (= (= (tptp.complement X) Y) (= Y (tptp.complement X)))) :rule all_simplify)
% 27.94/28.18 (step t559.t8 (cl (= (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) :rule cong :premises (t559.t4 t559.t6 t559.t7))
% 27.94/28.18 (step t559 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.meet X Y) tptp.zero)) (not (= (tptp.join X Y) tptp.one)) (= (tptp.complement X) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X)))))) :rule bind)
% 27.94/28.18 (step t560 (cl (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.meet X Y))) (not (= tptp.one (tptp.join X Y))) (= Y (tptp.complement X))))) :rule resolution :premises (t558 t559 a10))
% 27.94/28.18 (step t561 (cl (or (not (= tptp.zero (tptp.meet tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.one (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t557 t560))
% 27.94/28.18 (step t562 (cl (= (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule resolution :premises (t44 t271 t542 t561))
% 27.94/28.18 (step t563 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t564)
% 27.94/28.18 (assume t564.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.94/28.18 (step t564.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule forall_inst :args ((:= X (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (:= Y (tptp.complement tptp.a)) (:= Z (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))
% 27.94/28.18 (step t564.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule or :premises (t564.t1))
% 27.94/28.18 (step t564.t3 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule resolution :premises (t564.t2 t564.a0))
% 27.94/28.18 (step t564 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule subproof :discharge (t564.a0))
% 27.94/28.18 (step t565 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule resolution :premises (t563 t564))
% 27.94/28.18 (step t566 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (not (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule implies_neg2)
% 27.94/28.18 (step t567 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule resolution :premises (t565 t566))
% 27.94/28.18 (step t568 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))))))) :rule contraction :premises (t567))
% 27.94/28.18 (step t569 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule implies :premises (t568))
% 27.94/28.18 (step t570 (cl (= (tptp.meet (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))))))) :rule resolution :premises (t569 a6))
% 27.94/28.18 (step t571 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t572)
% 27.94/28.18 (assume t572.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 27.94/28.18 (step t572.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))
% 27.94/28.18 (step t572.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule or :premises (t572.t1))
% 27.94/28.18 (step t572.t3 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule resolution :premises (t572.t2 t572.a0))
% 27.94/28.18 (step t572 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule subproof :discharge (t572.a0))
% 27.94/28.18 (step t573 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule resolution :premises (t571 t572))
% 27.94/28.18 (step t574 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.94/28.18 (step t575 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))) :rule resolution :premises (t573 t574))
% 27.94/28.18 (step t576 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a))))) :rule contraction :premises (t575))
% 27.94/28.18 (step t577 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule implies :premises (t576))
% 27.94/28.18 (step t578 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))) (tptp.meet (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (tptp.complement tptp.a)))) :rule resolution :premises (t577 a4))
% 27.94/28.18 (step t579 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t580)
% 27.94/28.18 (assume t580.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 27.94/28.18 (step t580.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))
% 27.94/28.18 (step t580.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule or :premises (t580.t1))
% 27.94/28.18 (step t580.t3 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule resolution :premises (t580.t2 t580.a0))
% 27.94/28.18 (step t580 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule subproof :discharge (t580.a0))
% 27.94/28.18 (step t581 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule resolution :premises (t579 t580))
% 27.94/28.18 (step t582 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) :rule implies_neg2)
% 27.94/28.18 (step t583 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) :rule resolution :premises (t581 t582))
% 27.94/28.18 (step t584 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a))))))))) :rule contraction :premises (t583))
% 27.94/28.18 (step t585 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule implies :premises (t584))
% 27.94/28.18 (step t586 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.meet tptp.b (tptp.complement tptp.b)) (tptp.complement tptp.a)))))))) :rule resolution :premises (t585 t146))
% 27.94/28.18 (step t587 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t588)
% 27.94/28.18 (assume t588.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.18 (step t588.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))
% 27.94/28.18 (step t588.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule or :premises (t588.t1))
% 27.94/28.18 (step t588.t3 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule resolution :premises (t588.t2 t588.a0))
% 27.94/28.18 (step t588 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule subproof :discharge (t588.a0))
% 27.94/28.18 (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule resolution :premises (t587 t588))
% 27.94/28.18 (step t590 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule implies_neg2)
% 27.94/28.18 (step t591 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule resolution :premises (t589 t590))
% 27.94/28.18 (step t592 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b))))))))) :rule contraction :premises (t591))
% 27.94/28.18 (step t593 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule implies :premises (t592))
% 27.94/28.18 (step t594 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join tptp.b (tptp.meet tptp.b (tptp.complement tptp.b)))))))) :rule resolution :premises (t593 t89))
% 27.94/28.18 (step t595 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t596)
% 27.94/28.18 (assume t596.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 27.94/28.18 (step t596.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))))
% 27.94/28.18 (step t596.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule or :premises (t596.t1))
% 27.94/28.18 (step t596.t3 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule resolution :premises (t596.t2 t596.a0))
% 27.94/28.18 (step t596 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule subproof :discharge (t596.a0))
% 27.94/28.18 (step t597 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule resolution :premises (t595 t596))
% 27.94/28.18 (step t598 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))) :rule implies_neg2)
% 27.94/28.18 (step t599 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))) :rule resolution :premises (t597 t598))
% 27.94/28.18 (step t600 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a))))) :rule contraction :premises (t599))
% 27.94/28.18 (step t601 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule implies :premises (t600))
% 27.94/28.18 (step t602 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (tptp.join (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))) (tptp.complement tptp.a)))) :rule resolution :premises (t601 a5))
% 27.94/28.18 (step t603 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t604)
% 27.94/28.18 (assume t604.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))))
% 27.94/28.18 (step t604.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.complement tptp.b)) (:= Z (tptp.complement tptp.a)) (:= U tptp.b)))
% 27.94/28.18 (step t604.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule or :premises (t604.t1))
% 27.94/28.18 (step t604.t3 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule resolution :premises (t604.t2 t604.a0))
% 27.94/28.18 (step t604 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule subproof :discharge (t604.a0))
% 27.94/28.18 (step t605 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule resolution :premises (t603 t604))
% 27.94/28.18 (step t606 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))) :rule implies_neg2)
% 27.94/28.18 (step t607 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))) :rule resolution :premises (t605 t606))
% 27.94/28.18 (step t608 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z)))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a)))))))))) :rule contraction :premises (t607))
% 27.94/28.18 (step t609 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (U $$unsorted)) (= (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join Y U)))) (tptp.meet X (tptp.join Y (tptp.meet Z (tptp.join U (tptp.meet Y (tptp.join X Z))))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule implies :premises (t608))
% 27.94/28.18 (step t610 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) tptp.b)))) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.b (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.a))))))))) :rule resolution :premises (t609 a11))
% 27.94/28.18 (step t611 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t612)
% 27.94/28.18 (assume t612.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 27.94/28.18 (step t612.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.complement tptp.b)) (:= Z (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))
% 27.94/28.18 (step t612.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule or :premises (t612.t1))
% 27.94/28.18 (step t612.t3 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule resolution :premises (t612.t2 t612.a0))
% 27.94/28.18 (step t612 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule subproof :discharge (t612.a0))
% 27.94/28.18 (step t613 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule resolution :premises (t611 t612))
% 27.94/28.18 (step t614 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (not (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule implies_neg2)
% 27.94/28.18 (step t615 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule resolution :premises (t613 t614))
% 27.94/28.18 (step t616 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))))))) :rule contraction :premises (t615))
% 27.94/28.18 (step t617 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z))))) (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule implies :premises (t616))
% 27.94/28.18 (step t618 (cl (= (tptp.meet (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b))))) (tptp.meet (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.b) (tptp.join (tptp.complement tptp.b) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.b)))))))) :rule resolution :premises (t617 a6))
% 27.94/28.18 (step t619 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 27.94/28.18 (anchor :step t620)
% 27.94/28.18 (assume t620.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 27.94/28.18 (step t620.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.complement tptp.b))))
% 27.94/28.18 (step t620.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule or :premises (t620.t1))
% 27.94/28.18 (step t620.t3 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t620.t2 t620.a0))
% 27.94/28.18 (step t620 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule subproof :discharge (t620.a0))
% 27.94/28.18 (step t621 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t619 t620))
% 27.94/28.18 (step t622 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 27.94/28.18 (step t623 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule resolution :premises (t621 t622))
% 27.94/28.18 (step t624 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule contraction :premises (t623))
% 27.94/28.18 (step t625 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies :premises (t624))
% 27.94/28.18 (step t626 (cl (= (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t625 t89))
% 27.94/28.18 (step t627 (cl (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.b) (tptp.complement tptp.a))))) :rule not_symm :premises (a13))
% 27.94/28.18 (step t628 (cl) :rule resolution :premises (t42 t562 t570 t578 t586 t594 t602 t254 t610 t618 t227 t219 t437 t211 t203 t373 t195 t187 t179 t171 t163 t155 t147 t626 t136 t128 t117 t109 t98 t90 t627))
% 27.94/28.18
% 27.94/28.18 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.KjdhMMcwSw/cvc5---1.0.5_31708.smt2
% 27.94/28.18 % cvc5---1.0.5 exiting
% 27.94/28.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------