%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT044-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n013.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 17:20:44 EDT 2024

% Result   : Unsatisfiable 0.67s 0.86s
% Output   : Proof 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LAT044-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 27 14:56:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.67/0.86  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.NyWCVAGomc/cvc5---1.0.5_25008.smt2
% 0.67/0.86  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.NyWCVAGomc/cvc5---1.0.5_25008.smt2
% 0.71/0.92  (assume a0 (forall ((X $$unsorted)) (= (tptp.meet X X) X)))
% 0.71/0.92  (assume a1 (forall ((X $$unsorted)) (= (tptp.join X X) X)))
% 0.71/0.92  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)))
% 0.71/0.92  (assume a3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)))
% 0.71/0.92  (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 0.71/0.92  (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (assume a6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.meet (tptp.meet X Y) Z) (tptp.meet X (tptp.meet Y Z)))))
% 0.71/0.92  (assume a7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 0.71/0.92  (assume a8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (assume a9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (assume a10 (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)))
% 0.71/0.92  (assume a11 (forall ((X $$unsorted)) (= (tptp.meet (tptp.complement X) X) tptp.n0)))
% 0.71/0.92  (assume a12 (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)))
% 0.71/0.92  (assume a13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))) (tptp.join X Y))))
% 0.71/0.92  (assume a14 (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) tptp.n1)))
% 0.71/0.92  (step t1 (cl (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule and_neg)
% 0.71/0.92  (step t2 (cl (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t3)
% 0.71/0.92  (assume t3.a0 (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.a1 (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.a2 (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))
% 0.71/0.92  (assume t3.a3 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.a4 (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.a5 (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.a6 (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))
% 0.71/0.92  (assume t3.a7 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.a8 (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.a9 (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.a10 (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.a11 (= tptp.b (tptp.complement (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.a12 (= tptp.a (tptp.complement (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.a13 (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.a14 (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))
% 0.71/0.92  (assume t3.a15 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.a16 (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))
% 0.71/0.92  (assume t3.a17 (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))))
% 0.71/0.92  (assume t3.a18 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.a19 (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.a20 (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))
% 0.71/0.92  (step t3.t1 (cl (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t3.t2)
% 0.71/0.92  (assume t3.t2.a0 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.t2.a1 (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.t2.a2 (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.t2.a3 (= tptp.b (tptp.complement (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.t2.a4 (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))
% 0.71/0.92  (assume t3.t2.a5 (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))
% 0.71/0.92  (assume t3.t2.a6 (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))
% 0.71/0.92  (assume t3.t2.a7 (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))))
% 0.71/0.92  (assume t3.t2.a8 (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.t2.a9 (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.t2.a10 (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.t2.a11 (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.t2.a12 (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (assume t3.t2.a13 (= tptp.a (tptp.complement (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.t2.a14 (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.t2.a15 (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 0.71/0.92  (assume t3.t2.a16 (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))
% 0.71/0.92  (assume t3.t2.a17 (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))
% 0.71/0.92  (assume t3.t2.a18 (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))
% 0.71/0.92  (assume t3.t2.a19 (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))
% 0.71/0.92  (assume t3.t2.a20 (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t3.t2.t1 (cl (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) tptp.n1)) :rule symm :premises (t3.t2.a20))
% 0.71/0.92  (step t3.t2.t2 (cl (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule symm :premises (t3.t2.t1))
% 0.71/0.92  (step t3.t2.t3 (cl (= (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule symm :premises (t3.t2.a19))
% 0.71/0.92  (step t3.t2.t4 (cl (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule symm :premises (t3.t2.t3))
% 0.71/0.92  (step t3.t2.t5 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement (tptp.meet tptp.a tptp.b)))) :rule symm :premises (t3.t2.a18))
% 0.71/0.92  (step t3.t2.t6 (cl (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.t5))
% 0.71/0.92  (step t3.t2.t7 (cl (= (tptp.complement tptp.a) (tptp.complement tptp.a))) :rule refl)
% 0.71/0.92  (step t3.t2.t8 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.a9 t3.t2.t7))
% 0.71/0.92  (step t3.t2.t9 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.t8))
% 0.71/0.92  (step t3.t2.t10 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))) :rule symm :premises (t3.t2.a17))
% 0.71/0.92  (step t3.t2.t11 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule symm :premises (t3.t2.t10))
% 0.71/0.92  (step t3.t2.t12 (cl (= (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule cong :premises (t3.t2.a9))
% 0.71/0.92  (step t3.t2.t13 (cl (= (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))) (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.a14))
% 0.71/0.92  (step t3.t2.t14 (cl (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t13))
% 0.71/0.92  (step t3.t2.t15 (cl (= (tptp.complement (tptp.complement tptp.a)) tptp.a)) :rule symm :premises (t3.t2.a13))
% 0.71/0.92  (step t3.t2.t16 (cl (= (tptp.complement (tptp.complement tptp.a)) (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule trans :premises (t3.t2.t15 t3.t2.a12))
% 0.71/0.92  (step t3.t2.t17 (cl (= (tptp.complement (tptp.complement tptp.b)) tptp.b)) :rule symm :premises (t3.t2.a3))
% 0.71/0.92  (step t3.t2.t18 (cl (= (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))) (tptp.join (tptp.join tptp.a (tptp.meet tptp.a tptp.b)) tptp.b))) :rule cong :premises (t3.t2.t16 t3.t2.t17))
% 0.71/0.92  (step t3.t2.t19 (cl (= (tptp.join tptp.a (tptp.meet tptp.a tptp.b)) tptp.a)) :rule symm :premises (t3.t2.a12))
% 0.71/0.92  (step t3.t2.t20 (cl (= tptp.b tptp.b)) :rule refl)
% 0.71/0.92  (step t3.t2.t21 (cl (= (tptp.join (tptp.join tptp.a (tptp.meet tptp.a tptp.b)) tptp.b) (tptp.join tptp.a tptp.b))) :rule cong :premises (t3.t2.t19 t3.t2.t20))
% 0.71/0.92  (step t3.t2.t22 (cl (= (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join tptp.a tptp.b))) :rule trans :premises (t3.t2.t12 t3.t2.t14 t3.t2.t18 t3.t2.t21))
% 0.71/0.92  (step t3.t2.t23 (cl (= (tptp.join (tptp.meet (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.complement tptp.b))))) :rule symm :premises (t3.t2.a16))
% 0.71/0.92  (step t3.t2.t24 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.complement tptp.a))) :rule symm :premises (t3.t2.a15))
% 0.71/0.92  (step t3.t2.t25 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.complement tptp.a))) :rule trans :premises (t3.t2.t8 t3.t2.t23 t3.t2.t24))
% 0.71/0.92  (step t3.t2.t26 (cl (= (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule cong :premises (t3.t2.t22 t3.t2.t25))
% 0.71/0.92  (step t3.t2.t27 (cl (= (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)))) :rule symm :premises (t3.t2.a11))
% 0.71/0.92  (step t3.t2.t28 (cl (= (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)))) :rule trans :premises (t3.t2.t26 t3.t2.t27))
% 0.71/0.92  (step t3.t2.t29 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))))) :rule cong :premises (t3.t2.a9 t3.t2.t28))
% 0.71/0.92  (step t3.t2.t30 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))))) :rule symm :premises (t3.t2.a10))
% 0.71/0.92  (step t3.t2.t31 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t30))
% 0.71/0.92  (step t3.t2.t32 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule trans :premises (t3.t2.a15 t3.t2.a16 t3.t2.t9 t3.t2.t11 t3.t2.t29 t3.t2.t31))
% 0.71/0.92  (step t3.t2.t33 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)))) :rule refl)
% 0.71/0.92  (step t3.t2.t34 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b)))) :rule symm :premises (t3.t2.a9))
% 0.71/0.92  (step t3.t2.t35 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))))) :rule cong :premises (t3.t2.t33 t3.t2.t34))
% 0.71/0.92  (step t3.t2.t36 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))))) :rule trans :premises (t3.t2.t32 t3.t2.t35))
% 0.71/0.92  (step t3.t2.t37 (cl (= (tptp.complement tptp.b) (tptp.complement tptp.b))) :rule refl)
% 0.71/0.92  (step t3.t2.t38 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t36 t3.t2.t37))
% 0.71/0.92  (step t3.t2.t39 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.a8))
% 0.71/0.92  (step t3.t2.t40 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule symm :premises (t3.t2.t39))
% 0.71/0.92  (step t3.t2.t41 (cl (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule symm :premises (t3.t2.a7))
% 0.71/0.92  (step t3.t2.t42 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) :rule symm :premises (t3.t2.t41))
% 0.71/0.92  (step t3.t2.t43 (cl (= (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) :rule symm :premises (t3.t2.a6))
% 0.71/0.92  (step t3.t2.t44 (cl (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule symm :premises (t3.t2.t43))
% 0.71/0.92  (step t3.t2.t45 (cl (= (tptp.join tptp.b tptp.a) (tptp.join tptp.a tptp.b))) :rule symm :premises (t3.t2.a5))
% 0.71/0.92  (step t3.t2.t46 (cl (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule symm :premises (t3.t2.t45))
% 0.71/0.92  (step t3.t2.t47 (cl (= (tptp.meet tptp.b (tptp.join tptp.a tptp.b)) (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule cong :premises (t3.t2.t20 t3.t2.t46))
% 0.71/0.92  (step t3.t2.t48 (cl (= (tptp.meet tptp.b (tptp.join tptp.b tptp.a)) tptp.b)) :rule symm :premises (t3.t2.a4))
% 0.71/0.92  (step t3.t2.t49 (cl (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.complement (tptp.complement tptp.b)))) :rule trans :premises (t3.t2.t44 t3.t2.t47 t3.t2.t48 t3.t2.a3))
% 0.71/0.92  (step t3.t2.t50 (cl (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.complement (tptp.complement (tptp.complement tptp.b))))) :rule cong :premises (t3.t2.t49))
% 0.71/0.92  (step t3.t2.t51 (cl (= (tptp.complement (tptp.complement (tptp.complement tptp.b))) (tptp.complement tptp.b))) :rule cong :premises (t3.t2.t17))
% 0.71/0.92  (step t3.t2.t52 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement tptp.b))) :rule trans :premises (t3.t2.t42 t3.t2.t50 t3.t2.t51))
% 0.71/0.92  (step t3.t2.t53 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule cong :premises (t3.t2.t33 t3.t2.t52))
% 0.71/0.92  (step t3.t2.t54 (cl (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule trans :premises (t3.t2.t6 t3.t2.t38 t3.t2.t40 t3.t2.t53))
% 0.71/0.92  (step t3.t2.t55 (cl (= (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule cong :premises (t3.t2.a2 t3.t2.t54))
% 0.71/0.92  (step t3.t2.t56 (cl (= (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) :rule symm :premises (t3.t2.a2))
% 0.71/0.92  (step t3.t2.t57 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule refl)
% 0.71/0.92  (step t3.t2.t58 (cl (= (tptp.join (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule cong :premises (t3.t2.t56 t3.t2.t57))
% 0.71/0.92  (step t3.t2.t59 (cl (= (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule symm :premises (t3.t2.a1))
% 0.71/0.92  (step t3.t2.t60 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule symm :premises (t3.t2.a0))
% 0.71/0.92  (step t3.t2.t61 (cl (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule trans :premises (t3.t2.t2 t3.t2.t4 t3.t2.t55 t3.t2.t58 t3.t2.t59 t3.t2.t60))
% 0.71/0.92  (step t3.t2 (cl (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :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))
% 0.71/0.92  (step t3.t3 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t4 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t5 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t6 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t7 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t3.t8 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule and_pos)
% 0.71/0.92  (step t3.t9 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t10 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t11 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t12 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t13 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t14 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t3.t15 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t16 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t3.t17 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t18 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t19 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t3.t20 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule and_pos)
% 0.71/0.92  (step t3.t21 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t22 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t3.t23 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t3.t24 (cl (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))))) :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))
% 0.71/0.92  (step t3.t25 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule reordering :premises (t3.t24))
% 0.71/0.92  (step t3.t26 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule contraction :premises (t3.t25))
% 0.71/0.92  (step t3.t27 (cl (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t3.t1 t3.t26))
% 0.71/0.92  (step t3.t28 (cl (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t3.t29 (cl (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule resolution :premises (t3.t27 t3.t28))
% 0.71/0.92  (step t3.t30 (cl (=> (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule contraction :premises (t3.t29))
% 0.71/0.92  (step t3.t31 (cl (not (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule implies :premises (t3.t30))
% 0.71/0.92  (step t3.t32 (cl (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule and_neg)
% 0.71/0.92  (step t3.t33 (cl (and (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t3.t32 t3.a3 t3.a8 t3.a13 t3.a11 t3.a6 t3.a2 t3.a14 t3.a17 t3.a19 t3.a4 t3.a18 t3.a1 t3.a0 t3.a12 t3.a9 t3.a7 t3.a15 t3.a20 t3.a5 t3.a16 t3.a10))
% 0.71/0.92  (step t3.t34 (cl (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t3.t31 t3.t33))
% 0.71/0.92  (step t3 (cl (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :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))
% 0.71/0.92  (step t4 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t5 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t6 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule and_pos)
% 0.71/0.92  (step t7 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t8 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t9 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t10 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t11 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t12 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t13 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t14 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t15 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t16 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t17 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t18 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t19 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule and_pos)
% 0.71/0.92  (step t20 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t21 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) :rule and_pos)
% 0.71/0.92  (step t22 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t23 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule and_pos)
% 0.71/0.92  (step t24 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule and_pos)
% 0.71/0.92  (step t25 (cl (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a 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))
% 0.71/0.92  (step t26 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule reordering :premises (t25))
% 0.71/0.92  (step t27 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule contraction :premises (t26))
% 0.71/0.92  (step t28 (cl (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t2 t27))
% 0.71/0.92  (step t29 (cl (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t30 (cl (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule resolution :premises (t28 t29))
% 0.71/0.92  (step t31 (cl (=> (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule contraction :premises (t30))
% 0.71/0.92  (step t32 (cl (not (and (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))) (= tptp.b (tptp.complement (tptp.complement tptp.b))) (= tptp.a (tptp.complement (tptp.complement tptp.a))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule implies :premises (t31))
% 0.71/0.92  (step t33 (cl (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t1 t32))
% 0.71/0.92  (step t34 (cl (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule reordering :premises (t33))
% 0.71/0.92  (step t35 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t36)
% 0.71/0.92  (assume t36.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))))
% 0.71/0.92  (step t36.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule forall_inst :args ((:= X (tptp.complement (tptp.join tptp.a tptp.b))) (:= Y (tptp.complement tptp.a))))
% 0.71/0.92  (step t36.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule or :premises (t36.t1))
% 0.71/0.92  (step t36.t3 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t36.t2 t36.a0))
% 0.71/0.92  (step t36 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule subproof :discharge (t36.a0))
% 0.71/0.92  (step t37 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t35 t36))
% 0.71/0.92  (step t38 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (not (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule implies_neg2)
% 0.71/0.92  (step t39 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule resolution :premises (t37 t38))
% 0.71/0.92  (step t40 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a))))))) :rule contraction :premises (t39))
% 0.71/0.92  (step t41 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule implies :premises (t40))
% 0.71/0.92  (step t42 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))) (tptp.join X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))) (tptp.join X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t43 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.71/0.92  (step t43.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t43.t2 (cl (= Y Y)) :rule refl)
% 0.71/0.92  (step t43.t3 (cl (= (= (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))) (tptp.join X Y)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) :rule all_simplify)
% 0.71/0.92  (step t43 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))) (tptp.join X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y))))))) :rule bind)
% 0.71/0.92  (step t44 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join X (tptp.meet (tptp.complement X) (tptp.join X Y)))))) :rule resolution :premises (t42 t43 a13))
% 0.71/0.92  (step t45 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.a)))))) :rule resolution :premises (t41 t44))
% 0.71/0.92  (step t46 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t47)
% 0.71/0.92  (assume t47.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 0.71/0.92  (step t47.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (:= Y (tptp.complement (tptp.join tptp.a tptp.b))) (:= Z (tptp.complement tptp.b))))
% 0.71/0.92  (step t47.t2 (cl (not (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule or :premises (t47.t1))
% 0.71/0.92  (step t47.t3 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t47.t2 t47.a0))
% 0.71/0.92  (step t47 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule subproof :discharge (t47.a0))
% 0.71/0.92  (step t48 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t46 t47))
% 0.71/0.92  (step t49 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t50 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule resolution :premises (t48 t49))
% 0.71/0.92  (step t51 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule contraction :premises (t50))
% 0.71/0.92  (step t52 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule implies :premises (t51))
% 0.71/0.92  (step t53 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement (tptp.join tptp.a tptp.b))) (tptp.complement tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t52 a7))
% 0.71/0.92  (step t54 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t55)
% 0.71/0.92  (assume t55.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (step t55.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (:= Y (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)))))
% 0.71/0.92  (step t55.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule or :premises (t55.t1))
% 0.71/0.92  (step t55.t3 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t55.t2 t55.a0))
% 0.71/0.92  (step t55 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule subproof :discharge (t55.a0))
% 0.71/0.92  (step t56 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t54 t55))
% 0.71/0.92  (step t57 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t58 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule resolution :premises (t56 t57))
% 0.71/0.92  (step t59 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule contraction :premises (t58))
% 0.71/0.92  (step t60 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies :premises (t59))
% 0.71/0.92  (step t61 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t60 a5))
% 0.71/0.92  (step t62 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))))) :rule equiv_pos2)
% 0.71/0.92  (step t63 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))) :rule refl)
% 0.71/0.92  (step t64 (cl (= (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))))) :rule all_simplify)
% 0.71/0.92  (step t65 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))))) :rule cong :premises (t63 t64))
% 0.71/0.92  (step t66 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t67)
% 0.71/0.92  (assume t67.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (step t67.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X (tptp.join tptp.a tptp.b)) (:= Y tptp.b)))
% 0.71/0.92  (step t67.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule or :premises (t67.t1))
% 0.71/0.92  (step t67.t3 (cl (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule resolution :premises (t67.t2 t67.a0))
% 0.71/0.92  (step t67 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule subproof :discharge (t67.a0))
% 0.71/0.92  (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) :rule resolution :premises (t66 t67))
% 0.71/0.92  (step t69 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t68 t69))
% 0.71/0.92  (step t71 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)) (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule contraction :premises (t70))
% 0.71/0.92  (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b))))) :rule resolution :premises (t62 t65 t71))
% 0.71/0.92  (step t73 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) :rule implies :premises (t72))
% 0.71/0.92  (step t74 (cl (= (tptp.join (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.complement (tptp.meet (tptp.join tptp.a tptp.b) tptp.b)))) :rule resolution :premises (t73 a9))
% 0.71/0.92  (step t75 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t76)
% 0.71/0.92  (assume t76.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (step t76.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement (tptp.meet tptp.a tptp.b))) (:= Y (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t76.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule or :premises (t76.t1))
% 0.71/0.92  (step t76.t3 (cl (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t76.t2 t76.a0))
% 0.71/0.92  (step t76 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule subproof :discharge (t76.a0))
% 0.71/0.92  (step t77 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t75 t76))
% 0.71/0.92  (step t78 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t79 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))) :rule resolution :premises (t77 t78))
% 0.71/0.92  (step t80 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b)))))) :rule contraction :premises (t79))
% 0.71/0.92  (step t81 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule implies :premises (t80))
% 0.71/0.92  (step t82 (cl (= (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.complement (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t81 a5))
% 0.71/0.92  (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t84)
% 0.71/0.92  (assume t84.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (step t84.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))
% 0.71/0.92  (step t84.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule or :premises (t84.t1))
% 0.71/0.92  (step t84.t3 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule resolution :premises (t84.t2 t84.a0))
% 0.71/0.92  (step t84 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule subproof :discharge (t84.a0))
% 0.71/0.92  (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule resolution :premises (t83 t84))
% 0.71/0.92  (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (not (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule implies_neg2)
% 0.71/0.92  (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule resolution :premises (t85 t86))
% 0.71/0.92  (step t88 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a))))) :rule contraction :premises (t87))
% 0.71/0.92  (step t89 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule implies :premises (t88))
% 0.71/0.92  (step t90 (cl (= (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)) (tptp.complement tptp.a)))) :rule resolution :premises (t89 a5))
% 0.71/0.92  (step t91 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t92)
% 0.71/0.92  (assume t92.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 0.71/0.92  (step t92.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule forall_inst :args ((:= X (tptp.join tptp.a tptp.b)) (:= Y tptp.b)))
% 0.71/0.92  (step t92.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule or :premises (t92.t1))
% 0.71/0.92  (step t92.t3 (cl (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule resolution :premises (t92.t2 t92.a0))
% 0.71/0.92  (step t92 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule subproof :discharge (t92.a0))
% 0.71/0.92  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule resolution :premises (t91 t92))
% 0.71/0.92  (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (not (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule resolution :premises (t93 t94))
% 0.71/0.92  (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b))))) :rule contraction :premises (t95))
% 0.71/0.92  (step t97 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule implies :premises (t96))
% 0.71/0.92  (step t98 (cl (= (tptp.meet (tptp.join tptp.a tptp.b) tptp.b) (tptp.meet tptp.b (tptp.join tptp.a tptp.b)))) :rule resolution :premises (t97 a4))
% 0.71/0.92  (step t99 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (forall ((X $$unsorted)) (= X (tptp.join X X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t100)
% 0.71/0.92  (assume t100.a0 (forall ((X $$unsorted)) (= X (tptp.join X X))))
% 0.71/0.92  (step t100.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t100.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule or :premises (t100.t1))
% 0.71/0.92  (step t100.t3 (cl (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t100.t2 t100.a0))
% 0.71/0.92  (step t100 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule subproof :discharge (t100.a0))
% 0.71/0.92  (step t101 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t99 t100))
% 0.71/0.92  (step t102 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (not (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t103 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t101 t102))
% 0.71/0.92  (step t104 (cl (=> (forall ((X $$unsorted)) (= X (tptp.join X X))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b))))) :rule contraction :premises (t103))
% 0.71/0.92  (step t105 (cl (not (forall ((X $$unsorted)) (= X (tptp.join X X)))) (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule implies :premises (t104))
% 0.71/0.92  (step t106 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.join X X)))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t107 :args ((X $$unsorted) (:= X X)))
% 0.71/0.92  (step t107.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t107.t2 (cl (= (= (tptp.join X X) X) (= X (tptp.join X X)))) :rule all_simplify)
% 0.71/0.92  (step t107 (cl (= (forall ((X $$unsorted)) (= (tptp.join X X) X)) (forall ((X $$unsorted)) (= X (tptp.join X X))))) :rule bind)
% 0.71/0.92  (step t108 (cl (forall ((X $$unsorted)) (= X (tptp.join X X)))) :rule resolution :premises (t106 t107 a1))
% 0.71/0.92  (step t109 (cl (= (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t105 t108))
% 0.71/0.92  (step t110 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t111)
% 0.71/0.92  (assume t111.a0 (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))
% 0.71/0.92  (step t111.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.a (tptp.complement (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 0.71/0.92  (step t111.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule or :premises (t111.t1))
% 0.71/0.92  (step t111.t3 (cl (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule resolution :premises (t111.t2 t111.a0))
% 0.71/0.92  (step t111 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule subproof :discharge (t111.a0))
% 0.71/0.92  (step t112 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule resolution :premises (t110 t111))
% 0.71/0.92  (step t113 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (not (= tptp.a (tptp.complement (tptp.complement tptp.a))))) :rule implies_neg2)
% 0.71/0.92  (step t114 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a))))) :rule resolution :premises (t112 t113))
% 0.71/0.92  (step t115 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.a (tptp.complement (tptp.complement tptp.a))))) :rule contraction :premises (t114))
% 0.71/0.92  (step t116 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule implies :premises (t115))
% 0.71/0.92  (step t117 (cl (not (= (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)) (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))) (not (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X))) (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t118 :args ((X $$unsorted) (:= X X)))
% 0.71/0.92  (step t118.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t118.t2 (cl (= (= (tptp.complement (tptp.complement X)) X) (= X (tptp.complement (tptp.complement X))))) :rule all_simplify)
% 0.71/0.92  (step t118 (cl (= (forall ((X $$unsorted)) (= (tptp.complement (tptp.complement X)) X)) (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))) :rule bind)
% 0.71/0.92  (step t119 (cl (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) :rule resolution :premises (t117 t118 a12))
% 0.71/0.92  (step t120 (cl (= tptp.a (tptp.complement (tptp.complement tptp.a)))) :rule resolution :premises (t116 t119))
% 0.71/0.92  (step t121 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t122)
% 0.71/0.92  (assume t122.a0 (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))))
% 0.71/0.92  (step t122.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.b (tptp.complement (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.b)))
% 0.71/0.92  (step t122.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule or :premises (t122.t1))
% 0.71/0.92  (step t122.t3 (cl (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule resolution :premises (t122.t2 t122.a0))
% 0.71/0.92  (step t122 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule subproof :discharge (t122.a0))
% 0.71/0.92  (step t123 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule resolution :premises (t121 t122))
% 0.71/0.92  (step t124 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (not (= tptp.b (tptp.complement (tptp.complement tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t125 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t123 t124))
% 0.71/0.92  (step t126 (cl (=> (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X)))) (= tptp.b (tptp.complement (tptp.complement tptp.b))))) :rule contraction :premises (t125))
% 0.71/0.92  (step t127 (cl (not (forall ((X $$unsorted)) (= X (tptp.complement (tptp.complement X))))) (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule implies :premises (t126))
% 0.71/0.92  (step t128 (cl (= tptp.b (tptp.complement (tptp.complement tptp.b)))) :rule resolution :premises (t127 t119))
% 0.71/0.92  (step t129 (cl (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t130)
% 0.71/0.92  (assume t130.a0 (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))))
% 0.71/0.92  (step t130.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule forall_inst :args ((:= X (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t130.t2 (cl (not (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule or :premises (t130.t1))
% 0.71/0.92  (step t130.t3 (cl (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t130.t2 t130.a0))
% 0.71/0.92  (step t130 (cl (not (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule subproof :discharge (t130.a0))
% 0.71/0.92  (step t131 (cl (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t129 t130))
% 0.71/0.92  (step t132 (cl (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (not (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t133 (cl (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t131 t132))
% 0.71/0.92  (step t134 (cl (=> (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule contraction :premises (t133))
% 0.71/0.92  (step t135 (cl (not (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule implies :premises (t134))
% 0.71/0.92  (step t136 (cl (not (= (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)) (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))))) (not (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1))) (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t137 :args ((X $$unsorted) (:= X X)))
% 0.71/0.92  (step t137.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t137.t2 (cl (= (= (tptp.join (tptp.complement X) X) tptp.n1) (= tptp.n1 (tptp.join (tptp.complement X) X)))) :rule all_simplify)
% 0.71/0.92  (step t137 (cl (= (forall ((X $$unsorted)) (= (tptp.join (tptp.complement X) X) tptp.n1)) (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X))))) :rule bind)
% 0.71/0.92  (step t138 (cl (forall ((X $$unsorted)) (= tptp.n1 (tptp.join (tptp.complement X) X)))) :rule resolution :premises (t136 t137 a10))
% 0.71/0.92  (step t139 (cl (= tptp.n1 (tptp.join (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t135 t138))
% 0.71/0.92  (step t140 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t141)
% 0.71/0.92  (assume t141.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (step t141.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.complement tptp.b))))
% 0.71/0.92  (step t141.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule or :premises (t141.t1))
% 0.71/0.92  (step t141.t3 (cl (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t141.t2 t141.a0))
% 0.71/0.92  (step t141 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule subproof :discharge (t141.a0))
% 0.71/0.92  (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t140 t141))
% 0.71/0.92  (step t143 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (not (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t144 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))) :rule resolution :premises (t142 t143))
% 0.71/0.92  (step t145 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b)))))) :rule contraction :premises (t144))
% 0.71/0.92  (step t146 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule implies :premises (t145))
% 0.71/0.92  (step t147 (cl (= (tptp.complement (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))) (tptp.join (tptp.complement (tptp.complement tptp.a)) (tptp.complement (tptp.complement tptp.b))))) :rule resolution :premises (t146 a9))
% 0.71/0.92  (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t149)
% 0.71/0.92  (assume t149.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (step t149.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))) (:= Y (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t149.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule or :premises (t149.t1))
% 0.71/0.92  (step t149.t3 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t149.t2 t149.a0))
% 0.71/0.92  (step t149 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule subproof :discharge (t149.a0))
% 0.71/0.92  (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t148 t149))
% 0.71/0.92  (step t151 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t152 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule resolution :premises (t150 t151))
% 0.71/0.92  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)))))) :rule contraction :premises (t152))
% 0.71/0.92  (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule implies :premises (t153))
% 0.71/0.92  (step t155 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet tptp.a tptp.b) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b))))) :rule resolution :premises (t154 a5))
% 0.71/0.92  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t157)
% 0.71/0.92  (assume t157.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 0.71/0.92  (step t157.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.complement tptp.b))))
% 0.71/0.92  (step t157.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule or :premises (t157.t1))
% 0.71/0.92  (step t157.t3 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t157.t2 t157.a0))
% 0.71/0.92  (step t157 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule subproof :discharge (t157.a0))
% 0.71/0.92  (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t156 t157))
% 0.71/0.92  (step t159 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (not (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t160 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule resolution :premises (t158 t159))
% 0.71/0.92  (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))))) :rule contraction :premises (t160))
% 0.71/0.92  (step t162 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies :premises (t161))
% 0.71/0.92  (step t163 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t164 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.71/0.92  (step t164.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t164.t2 (cl (= Y Y)) :rule refl)
% 0.71/0.92  (step t164.t3 (cl (= (= (tptp.join X (tptp.meet X Y)) X) (= X (tptp.join X (tptp.meet X Y))))) :rule all_simplify)
% 0.71/0.92  (step t164 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X (tptp.meet X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))) :rule bind)
% 0.71/0.92  (step t165 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule resolution :premises (t163 t164 a3))
% 0.71/0.92  (step t166 (cl (= (tptp.complement tptp.a) (tptp.join (tptp.complement tptp.a) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t162 t165))
% 0.71/0.92  (step t167 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t168)
% 0.71/0.92  (assume t168.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))
% 0.71/0.92  (step t168.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a)))
% 0.71/0.92  (step t168.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule or :premises (t168.t1))
% 0.71/0.92  (step t168.t3 (cl (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule resolution :premises (t168.t2 t168.a0))
% 0.71/0.92  (step t168 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule subproof :discharge (t168.a0))
% 0.71/0.92  (step t169 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule resolution :premises (t167 t168))
% 0.71/0.92  (step t170 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (not (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))) :rule implies_neg2)
% 0.71/0.92  (step t171 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))) :rule resolution :premises (t169 t170))
% 0.71/0.92  (step t172 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a))))) :rule contraction :premises (t171))
% 0.71/0.92  (step t173 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule implies :premises (t172))
% 0.71/0.92  (step t174 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule equiv_pos2)
% 0.71/0.92  (anchor :step t175 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.71/0.92  (step t175.t1 (cl (= X X)) :rule refl)
% 0.71/0.92  (step t175.t2 (cl (= Y Y)) :rule refl)
% 0.71/0.92  (step t175.t3 (cl (= (= (tptp.meet X (tptp.join X Y)) X) (= X (tptp.meet X (tptp.join X Y))))) :rule all_simplify)
% 0.71/0.92  (step t175 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X (tptp.join X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y)))))) :rule bind)
% 0.71/0.92  (step t176 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.meet X (tptp.join X Y))))) :rule resolution :premises (t174 t175 a2))
% 0.71/0.92  (step t177 (cl (= tptp.b (tptp.meet tptp.b (tptp.join tptp.b tptp.a)))) :rule resolution :premises (t173 t176))
% 0.71/0.92  (step t178 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t179)
% 0.71/0.92  (assume t179.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (step t179.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.71/0.92  (step t179.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule or :premises (t179.t1))
% 0.71/0.92  (step t179.t3 (cl (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t179.t2 t179.a0))
% 0.71/0.92  (step t179 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule subproof :discharge (t179.a0))
% 0.71/0.92  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t178 t179))
% 0.71/0.92  (step t181 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t182 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t180 t181))
% 0.71/0.92  (step t183 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule contraction :premises (t182))
% 0.71/0.92  (step t184 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.meet X Y)) (tptp.join (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule implies :premises (t183))
% 0.71/0.92  (step t185 (cl (= (tptp.complement (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t184 a9))
% 0.71/0.92  (step t186 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t187)
% 0.71/0.92  (assume t187.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))))
% 0.71/0.92  (step t187.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.71/0.92  (step t187.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule or :premises (t187.t1))
% 0.71/0.92  (step t187.t3 (cl (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t187.t2 t187.a0))
% 0.71/0.92  (step t187 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule subproof :discharge (t187.a0))
% 0.71/0.92  (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t186 t187))
% 0.71/0.92  (step t189 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (not (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t190 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule resolution :premises (t188 t189))
% 0.71/0.92  (step t191 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y)))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b))))) :rule contraction :premises (t190))
% 0.71/0.92  (step t192 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.join X Y)) (tptp.meet (tptp.complement X) (tptp.complement Y))))) (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule implies :premises (t191))
% 0.71/0.92  (step t193 (cl (= (tptp.complement (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.complement tptp.a) (tptp.complement tptp.b)))) :rule resolution :premises (t192 a8))
% 0.71/0.92  (step t194 (cl (not (= (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))))) (not (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule equiv_pos2)
% 0.71/0.92  (step t195 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))) :rule refl)
% 0.71/0.92  (step t196 (cl (= (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule all_simplify)
% 0.71/0.92  (step t197 (cl (= (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))))) :rule cong :premises (t195 t196))
% 0.71/0.92  (step t198 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t199)
% 0.71/0.92  (assume t199.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))))
% 0.71/0.92  (step t199.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule forall_inst :args ((:= X (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b))) (:= Y (tptp.complement tptp.b)) (:= Z (tptp.meet tptp.a tptp.b))))
% 0.71/0.92  (step t199.t2 (cl (not (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule or :premises (t199.t1))
% 0.71/0.92  (step t199.t3 (cl (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t199.t2 t199.a0))
% 0.71/0.92  (step t199 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule subproof :discharge (t199.a0))
% 0.71/0.92  (step t200 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t198 t199))
% 0.71/0.92  (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (not (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule implies_neg2)
% 0.71/0.92  (step t202 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule resolution :premises (t200 t201))
% 0.71/0.92  (step t203 (cl (=> (forall ((X $$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.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)) (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule contraction :premises (t202))
% 0.71/0.92  (step t204 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z)))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t194 t197 t203))
% 0.71/0.92  (step t205 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.join (tptp.join X Y) Z) (tptp.join X (tptp.join Y Z))))) (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule implies :premises (t204))
% 0.71/0.92  (step t206 (cl (= (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b))) (tptp.join (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.complement tptp.b)) (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t205 a7))
% 0.71/0.92  (step t207 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t208)
% 0.71/0.92  (assume t208.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))))
% 0.71/0.92  (step t208.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.71/0.92  (step t208.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule or :premises (t208.t1))
% 0.71/0.92  (step t208.t3 (cl (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule resolution :premises (t208.t2 t208.a0))
% 0.71/0.92  (step t208 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule subproof :discharge (t208.a0))
% 0.71/0.92  (step t209 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule resolution :premises (t207 t208))
% 0.71/0.92  (step t210 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (not (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))) :rule implies_neg2)
% 0.71/0.92  (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))) :rule resolution :premises (t209 t210))
% 0.71/0.92  (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a)))) :rule contraction :premises (t211))
% 0.71/0.92  (step t213 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.join X Y) (tptp.join Y X)))) (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule implies :premises (t212))
% 0.71/0.92  (step t214 (cl (= (tptp.join tptp.a tptp.b) (tptp.join tptp.b tptp.a))) :rule resolution :premises (t213 a5))
% 0.71/0.92  (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t216)
% 0.71/0.92  (assume t216.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))))
% 0.71/0.92  (step t216.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.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))) :rule forall_inst :args ((:= X (tptp.complement tptp.a)) (:= Y (tptp.join tptp.a tptp.b))))
% 0.71/0.92  (step t216.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.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule or :premises (t216.t1))
% 0.71/0.92  (step t216.t3 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t216.t2 t216.a0))
% 0.71/0.92  (step t216 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule subproof :discharge (t216.a0))
% 0.71/0.92  (step t217 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t215 t216))
% 0.71/0.92  (step t218 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) (not (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))) :rule implies_neg2)
% 0.71/0.92  (step t219 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (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.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))) :rule resolution :premises (t217 t218))
% 0.71/0.92  (step t220 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a))))) :rule contraction :premises (t219))
% 0.71/0.92  (step t221 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.meet X Y) (tptp.meet Y X)))) (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule implies :premises (t220))
% 0.71/0.92  (step t222 (cl (= (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.meet (tptp.join tptp.a tptp.b) (tptp.complement tptp.a)))) :rule resolution :premises (t221 a4))
% 0.71/0.92  (step t223 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) :rule implies_neg1)
% 0.71/0.92  (anchor :step t224)
% 0.71/0.92  (assume t224.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))))
% 0.71/0.92  (step t224.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.b)))
% 0.71/0.92  (step t224.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule or :premises (t224.t1))
% 0.71/0.92  (step t224.t3 (cl (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t224.t2 t224.a0))
% 0.71/0.92  (step t224 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule subproof :discharge (t224.a0))
% 0.71/0.92  (step t225 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t223 t224))
% 0.71/0.92  (step t226 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (not (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))) :rule implies_neg2)
% 0.71/0.92  (step t227 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))) :rule resolution :premises (t225 t226))
% 0.71/0.92  (step t228 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y)))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b))))) :rule contraction :premises (t227))
% 0.71/0.92  (step t229 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.join X (tptp.meet X Y))))) (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule implies :premises (t228))
% 0.71/0.92  (step t230 (cl (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) :rule resolution :premises (t229 t165))
% 0.71/0.92  (step t231 (cl (not (= tptp.n1 (tptp.join (tptp.meet (tptp.complement tptp.a) (tptp.join tptp.a tptp.b)) (tptp.join (tptp.complement tptp.b) (tptp.meet tptp.a tptp.b)))))) :rule not_symm :premises (a14))
% 0.71/0.92  (step t232 (cl) :rule resolution :premises (t34 t45 t53 t61 t74 t82 t90 t98 t109 t120 t128 t139 t147 t155 t166 t177 t185 t193 t206 t214 t222 t230 t231))
% 0.71/0.92  
% 0.71/0.93  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.NyWCVAGomc/cvc5---1.0.5_25008.smt2
% 0.71/0.93  % cvc5---1.0.5 exiting
% 0.71/0.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------