%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP402-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n028.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 16:54:39 EDT 2024

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP402-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 26 18:13:24 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.47/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.XC2QdOdna7/cvc5---1.0.5_574.smt2
% 0.47/0.63  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.XC2QdOdna7/cvc5---1.0.5_574.smt2
% 0.47/0.66  (assume a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.47/0.66  (assume a1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply C B))) (= A C))))
% 0.47/0.66  (assume a2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))
% 0.47/0.66  (assume a3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))))
% 0.47/0.66  (assume a4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))))
% 0.47/0.66  (assume a5 (not (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))
% 0.47/0.66  (step t1 (cl (not (= (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule equiv_pos2)
% 0.47/0.66  (step t2 (cl (= (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))))) :rule refl)
% 0.47/0.66  (step t3 (cl (= (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule refl)
% 0.47/0.66  (step t4 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))))) :rule refl)
% 0.47/0.66  (step t5 (cl (= (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule refl)
% 0.47/0.66  (step t6 (cl (= (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule refl)
% 0.47/0.66  (step t7 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule refl)
% 0.47/0.66  (step t8 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) :rule refl)
% 0.47/0.66  (step t9 (cl (= (= (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) true) (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule equiv_simplify)
% 0.47/0.66  (step t10 (cl (not (= (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) true)) (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule equiv1 :premises (t9))
% 0.47/0.66  (step t11 (cl (= (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule all_simplify)
% 0.47/0.66  (step t12 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule refl)
% 0.47/0.66  (step t13 (cl (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule all_simplify)
% 0.47/0.66  (step t14 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule cong :premises (t12 t13))
% 0.47/0.66  (step t15 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) true)) :rule all_simplify)
% 0.47/0.66  (step t16 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) true)) :rule trans :premises (t14 t15))
% 0.47/0.66  (step t17 (cl (= (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) true)) :rule trans :premises (t11 t16))
% 0.47/0.66  (step t18 (cl (= (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t10 t17))
% 0.47/0.66  (step t19 (cl (= (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule cong :premises (t2 t3 t4 t5 t6 t7 t8 t18))
% 0.47/0.66  (step t20 (cl (not (= (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) (not (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule equiv_pos2)
% 0.47/0.66  (step t21 (cl (= (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule refl)
% 0.47/0.66  (step t22 (cl (= (= (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule equiv_simplify)
% 0.47/0.66  (step t23 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (not (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule equiv2 :premises (t22))
% 0.47/0.66  (step t24 (cl (not (not (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule not_not)
% 0.47/0.66  (step t25 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t23 t24))
% 0.47/0.66  (step t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t27)
% 0.47/0.66  (assume t27.a0 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))
% 0.47/0.66  (assume t27.a1 (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (step t27.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 0.47/0.66  (step t27.t2 (cl (= (= true false) false)) :rule all_simplify)
% 0.47/0.66  (step t27.t3 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) true) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule equiv_simplify)
% 0.47/0.66  (step t27.t4 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) true) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule equiv2 :premises (t27.t3))
% 0.47/0.66  (step t27.t5 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule symm :premises (t27.a0))
% 0.47/0.66  (step t27.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule symm :premises (t27.t5))
% 0.47/0.66  (step t27.t7 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) true)) :rule resolution :premises (t27.t4 t27.t6))
% 0.47/0.66  (step t27.t8 (cl (= true (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule symm :premises (t27.t7))
% 0.47/0.66  (step t27.t9 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) false) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule equiv_simplify)
% 0.47/0.66  (step t27.t10 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) false) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule equiv2 :premises (t27.t9))
% 0.47/0.66  (step t27.t11 (cl (not (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule not_not)
% 0.47/0.66  (step t27.t12 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) false) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t27.t10 t27.t11))
% 0.47/0.66  (step t27.t13 (cl (= (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) false)) :rule resolution :premises (t27.t12 t27.a1))
% 0.47/0.66  (step t27.t14 (cl (= true false)) :rule trans :premises (t27.t8 t27.t13))
% 0.47/0.66  (step t27.t15 (cl false) :rule resolution :premises (t27.t1 t27.t2 t27.t14))
% 0.47/0.66  (step t27 (cl (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) :rule subproof :discharge (t27.a0 t27.a1))
% 0.47/0.66  (step t28 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule and_pos)
% 0.47/0.66  (step t29 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t30 (cl false (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t27 t28 t29))
% 0.47/0.66  (step t31 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) false) :rule reordering :premises (t30))
% 0.47/0.66  (step t32 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) false) :rule contraction :premises (t31))
% 0.47/0.66  (step t33 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) false) :rule resolution :premises (t26 t32))
% 0.47/0.66  (step t34 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (not false)) :rule implies_neg2)
% 0.47/0.66  (step t35 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false)) :rule resolution :premises (t33 t34))
% 0.47/0.66  (step t36 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false)) :rule contraction :premises (t35))
% 0.47/0.66  (step t37 (cl (= (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule implies_simplify)
% 0.47/0.66  (step t38 (cl (not (=> (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false)) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule equiv1 :premises (t37))
% 0.47/0.66  (step t39 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t36 t38))
% 0.47/0.66  (step t40 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false)) :rule resolution :premises (t25 t39))
% 0.47/0.66  (step t41 (cl (= (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false))) :rule cong :premises (t21 t40))
% 0.47/0.66  (step t42 (cl (= (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) false) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule all_simplify)
% 0.47/0.66  (step t43 (cl (= (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))))) :rule trans :premises (t41 t42))
% 0.47/0.66  (step t44 (cl (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t45)
% 0.47/0.66  (assume t45.a0 (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (assume t45.a1 (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))
% 0.47/0.66  (assume t45.a2 (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))
% 0.47/0.66  (assume t45.a3 (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))
% 0.47/0.66  (assume t45.a4 (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))
% 0.47/0.66  (assume t45.a5 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (assume t45.a6 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))
% 0.47/0.66  (assume t45.a7 (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (step t45.t1 (cl (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule and_neg)
% 0.47/0.66  (step t45.t2 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t45.t3)
% 0.47/0.66  (assume t45.t3.a0 (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))
% 0.47/0.66  (assume t45.t3.a1 (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))
% 0.47/0.66  (assume t45.t3.a2 (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (assume t45.t3.a3 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (assume t45.t3.a4 (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))
% 0.47/0.66  (assume t45.t3.a5 (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))
% 0.47/0.66  (assume t45.t3.a6 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))
% 0.47/0.66  (step t45.t3.t1 (cl (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule symm :premises (t45.t3.a6))
% 0.47/0.66  (step t45.t3.t2 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule symm :premises (t45.t3.t1))
% 0.47/0.66  (step t45.t3.t3 (cl (= (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)))) :rule refl)
% 0.47/0.66  (step t45.t3.t4 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)) :rule symm :premises (t45.t3.a5))
% 0.47/0.66  (step t45.t3.t5 (cl (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a))) :rule cong :premises (t45.t3.t3 t45.t3.t4))
% 0.47/0.66  (step t45.t3.t6 (cl (= tptp.b tptp.b)) :rule refl)
% 0.47/0.66  (step t45.t3.t7 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) :rule symm :premises (t45.t3.a1))
% 0.47/0.66  (step t45.t3.t8 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) :rule symm :premises (t45.t3.t7))
% 0.47/0.66  (step t45.t3.t9 (cl (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule cong :premises (t45.t3.t6 t45.t3.t8))
% 0.47/0.66  (step t45.t3.t10 (cl (= (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule symm :premises (t45.t3.t9))
% 0.47/0.66  (step t45.t3.t11 (cl (= (tptp.multiply tptp.b tptp.a) (tptp.multiply tptp.b tptp.a))) :rule refl)
% 0.47/0.66  (step t45.t3.t12 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))) :rule symm :premises (t45.t3.a4))
% 0.47/0.66  (step t45.t3.t13 (cl (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule symm :premises (t45.t3.t12))
% 0.47/0.66  (step t45.t3.t14 (cl (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule cong :premises (t45.t3.t11 t45.t3.t13))
% 0.47/0.66  (step t45.t3.t15 (cl (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule symm :premises (t45.t3.a3))
% 0.47/0.66  (step t45.t3.t16 (cl (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule symm :premises (t45.t3.a2))
% 0.47/0.66  (step t45.t3.t17 (cl (= (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a))) :rule symm :premises (t45.t3.a0))
% 0.47/0.66  (step t45.t3.t18 (cl (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a))) :rule trans :premises (t45.t3.t16 t45.t3.t9 t45.t3.t17))
% 0.47/0.66  (step t45.t3.t19 (cl (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) :rule refl)
% 0.47/0.66  (step t45.t3.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule cong :premises (t45.t3.t18 t45.t3.t19))
% 0.47/0.66  (step t45.t3.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule trans :premises (t45.t3.t2 t45.t3.t5 t45.t3.a0 t45.t3.t10 t45.t3.a2 t45.t3.t14 t45.t3.t15 t45.t3.t20))
% 0.47/0.66  (step t45.t3 (cl (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule subproof :discharge (t45.t3.a0 t45.t3.a1 t45.t3.a2 t45.t3.a3 t45.t3.a4 t45.t3.a5 t45.t3.a6))
% 0.47/0.66  (step t45.t4 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 0.47/0.66  (step t45.t5 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) :rule and_pos)
% 0.47/0.66  (step t45.t6 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) :rule and_pos)
% 0.47/0.66  (step t45.t7 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t45.t8 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule and_pos)
% 0.47/0.66  (step t45.t9 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t45.t10 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule and_pos)
% 0.47/0.66  (step t45.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) :rule resolution :premises (t45.t3 t45.t4 t45.t5 t45.t6 t45.t7 t45.t8 t45.t9 t45.t10))
% 0.47/0.66  (step t45.t12 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule reordering :premises (t45.t11))
% 0.47/0.66  (step t45.t13 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule contraction :premises (t45.t12))
% 0.47/0.66  (step t45.t14 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t45.t2 t45.t13))
% 0.47/0.66  (step t45.t15 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule implies_neg2)
% 0.47/0.66  (step t45.t16 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t45.t14 t45.t15))
% 0.47/0.66  (step t45.t17 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule contraction :premises (t45.t16))
% 0.47/0.66  (step t45.t18 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule implies :premises (t45.t17))
% 0.47/0.66  (step t45.t19 (cl (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule and_neg)
% 0.47/0.66  (step t45.t20 (cl (and (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule resolution :premises (t45.t19 t45.a2 t45.a1 t45.a0 t45.a5 t45.a4 t45.a3 t45.a6))
% 0.47/0.66  (step t45.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t45.t18 t45.t20))
% 0.47/0.66  (step t45.t22 (cl (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t45.t1 t45.t21 t45.a7))
% 0.47/0.66  (step t45 (cl (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule subproof :discharge (t45.a0 t45.a1 t45.a2 t45.a3 t45.a4 t45.a5 t45.a6 t45.a7))
% 0.47/0.66  (step t46 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) :rule and_pos)
% 0.47/0.66  (step t47 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) :rule and_pos)
% 0.47/0.66  (step t48 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule and_pos)
% 0.47/0.66  (step t49 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t50 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule and_pos)
% 0.47/0.66  (step t51 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t52 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule and_pos)
% 0.47/0.66  (step t53 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t54 (cl (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t45 t46 t47 t48 t49 t50 t51 t52 t53))
% 0.47/0.66  (step t55 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule reordering :premises (t54))
% 0.47/0.66  (step t56 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule contraction :premises (t55))
% 0.47/0.66  (step t57 (cl (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t44 t56))
% 0.47/0.66  (step t58 (cl (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule implies_neg2)
% 0.47/0.66  (step t59 (cl (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t57 t58))
% 0.47/0.66  (step t60 (cl (=> (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (and (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule contraction :premises (t59))
% 0.47/0.66  (step t61 (cl (not (and (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t20 t43 t60))
% 0.47/0.66  (step t62 (cl (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule not_and :premises (t61))
% 0.47/0.66  (step t63 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))))) :rule or_neg)
% 0.47/0.66  (step t64 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule or_neg)
% 0.47/0.66  (step t65 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))))) :rule or_neg)
% 0.47/0.66  (step t66 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule or_neg)
% 0.47/0.66  (step t67 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule or_neg)
% 0.47/0.66  (step t68 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule or_neg)
% 0.47/0.66  (step t69 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) :rule or_neg)
% 0.47/0.66  (step t70 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule or_neg)
% 0.47/0.66  (step t71 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t62 t63 t64 t65 t66 t67 t68 t69 t70))
% 0.47/0.66  (step t72 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule contraction :premises (t71))
% 0.47/0.66  (step t73 (cl (or (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t1 t19 t72))
% 0.47/0.66  (step t74 (cl (not (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule or :premises (t73))
% 0.47/0.66  (step t75 (cl (not (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) :rule or_pos)
% 0.47/0.66  (step t76 (cl (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule reordering :premises (t75))
% 0.47/0.66  (step t77 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule equiv_pos2)
% 0.47/0.66  (step t78 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))) :rule refl)
% 0.47/0.66  (step t79 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule refl)
% 0.47/0.66  (step t80 (cl (= (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule all_simplify)
% 0.47/0.66  (step t81 (cl (= (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule cong :premises (t79 t80))
% 0.47/0.66  (step t82 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule cong :premises (t78 t81))
% 0.47/0.66  (step t83 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t84)
% 0.47/0.66  (assume t84.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))
% 0.47/0.66  (step t84.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule forall_inst :args ((:= A (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a)) (:= B (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (:= C (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))
% 0.47/0.66  (step t84.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule or :premises (t84.t1))
% 0.47/0.66  (step t84.t3 (cl (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t84.t2 t84.a0))
% 0.47/0.66  (step t84 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule subproof :discharge (t84.a0))
% 0.47/0.66  (step t85 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t83 t84))
% 0.47/0.66  (step t86 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (not (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule implies_neg2)
% 0.47/0.66  (step t87 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t85 t86))
% 0.47/0.66  (step t88 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule contraction :premises (t87))
% 0.47/0.66  (step t89 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t77 t82 t88))
% 0.47/0.66  (step t90 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule implies :premises (t89))
% 0.47/0.66  (step t91 (cl (or (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule resolution :premises (t90 a2))
% 0.47/0.66  (step t92 (cl (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t76 a5 t91))
% 0.47/0.66  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t94)
% 0.47/0.66  (assume t94.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.47/0.66  (step t94.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b))) (:= Y tptp.a) (:= Z (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))
% 0.47/0.66  (step t94.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule or :premises (t94.t1))
% 0.47/0.66  (step t94.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t94.t2 t94.a0))
% 0.47/0.66  (step t94 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule subproof :discharge (t94.a0))
% 0.47/0.66  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t93 t94))
% 0.47/0.66  (step t96 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule implies_neg2)
% 0.47/0.66  (step t97 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule resolution :premises (t95 t96))
% 0.47/0.66  (step t98 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule contraction :premises (t97))
% 0.47/0.66  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule implies :premises (t98))
% 0.47/0.66  (step t100 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t99 a0))
% 0.47/0.66  (step t101 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t102)
% 0.47/0.66  (assume t102.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.47/0.66  (step t102.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.b tptp.a)) (:= Y (tptp.commutator tptp.a tptp.b)) (:= Z (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))
% 0.47/0.66  (step t102.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule or :premises (t102.t1))
% 0.47/0.66  (step t102.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t102.t2 t102.a0))
% 0.47/0.66  (step t102 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule subproof :discharge (t102.a0))
% 0.47/0.66  (step t103 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t101 t102))
% 0.47/0.66  (step t104 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule implies_neg2)
% 0.47/0.66  (step t105 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t103 t104))
% 0.47/0.66  (step t106 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule contraction :premises (t105))
% 0.47/0.66  (step t107 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule implies :premises (t106))
% 0.47/0.66  (step t108 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t107 a0))
% 0.47/0.66  (step t109 (cl (not (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule or_pos)
% 0.47/0.66  (step t110 (cl (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (not (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule reordering :premises (t109))
% 0.47/0.66  (step t111 (cl (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule and_neg)
% 0.47/0.66  (step t112 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t113)
% 0.47/0.66  (assume t113.a0 (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))
% 0.47/0.66  (assume t113.a1 (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))
% 0.47/0.66  (step t113.t1 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t113.t2)
% 0.47/0.66  (assume t113.t2.a0 (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))
% 0.47/0.66  (assume t113.t2.a1 (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))
% 0.47/0.66  (step t113.t2.t1 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule symm :premises (t113.t2.a1))
% 0.47/0.66  (step t113.t2.t2 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule symm :premises (t113.t2.a0))
% 0.47/0.66  (step t113.t2.t3 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule symm :premises (t113.t2.t2))
% 0.47/0.66  (step t113.t2.t4 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule trans :premises (t113.t2.t1 t113.t2.t3))
% 0.47/0.66  (step t113.t2 (cl (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule subproof :discharge (t113.t2.a0 t113.t2.a1))
% 0.47/0.66  (step t113.t3 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule and_pos)
% 0.47/0.66  (step t113.t4 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule and_pos)
% 0.47/0.66  (step t113.t5 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) :rule resolution :premises (t113.t2 t113.t3 t113.t4))
% 0.47/0.66  (step t113.t6 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule reordering :premises (t113.t5))
% 0.47/0.66  (step t113.t7 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule contraction :premises (t113.t6))
% 0.47/0.66  (step t113.t8 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t113.t1 t113.t7))
% 0.47/0.66  (step t113.t9 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule implies_neg2)
% 0.47/0.66  (step t113.t10 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule resolution :premises (t113.t8 t113.t9))
% 0.47/0.66  (step t113.t11 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule contraction :premises (t113.t10))
% 0.47/0.66  (step t113.t12 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule implies :premises (t113.t11))
% 0.47/0.66  (step t113.t13 (cl (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule and_neg)
% 0.47/0.66  (step t113.t14 (cl (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule resolution :premises (t113.t13 t113.a1 t113.a0))
% 0.47/0.66  (step t113.t15 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t113.t12 t113.t14))
% 0.47/0.66  (step t113 (cl (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule subproof :discharge (t113.a0 t113.a1))
% 0.47/0.66  (step t114 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule and_pos)
% 0.47/0.66  (step t115 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule and_pos)
% 0.47/0.66  (step t116 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))))) :rule resolution :premises (t113 t114 t115))
% 0.47/0.66  (step t117 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule reordering :premises (t116))
% 0.47/0.66  (step t118 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule contraction :premises (t117))
% 0.47/0.66  (step t119 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t112 t118))
% 0.47/0.66  (step t120 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule implies_neg2)
% 0.47/0.66  (step t121 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule resolution :premises (t119 t120))
% 0.47/0.66  (step t122 (cl (=> (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule contraction :premises (t121))
% 0.47/0.66  (step t123 (cl (not (and (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule implies :premises (t122))
% 0.47/0.66  (step t124 (cl (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t111 t123))
% 0.47/0.66  (step t125 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t126)
% 0.47/0.66  (assume t126.a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))))
% 0.47/0.66  (step t126.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule forall_inst :args ((:= A tptp.a) (:= B (tptp.commutator tptp.b tptp.c))))
% 0.47/0.66  (step t126.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule or :premises (t126.t1))
% 0.47/0.66  (step t126.t3 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t126.t2 t126.a0))
% 0.47/0.66  (step t126 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule subproof :discharge (t126.a0))
% 0.47/0.66  (step t127 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t125 t126))
% 0.47/0.66  (step t128 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (not (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule implies_neg2)
% 0.47/0.66  (step t129 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule resolution :premises (t127 t128))
% 0.47/0.66  (step t130 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule contraction :premises (t129))
% 0.47/0.66  (step t131 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule implies :premises (t130))
% 0.47/0.66  (step t132 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t131 a3))
% 0.47/0.66  (step t133 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule equiv_pos2)
% 0.47/0.66  (step t134 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))))) :rule refl)
% 0.47/0.66  (step t135 (cl (= (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule all_simplify)
% 0.47/0.66  (step t136 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))))) :rule cong :premises (t134 t135))
% 0.47/0.66  (step t137 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t138)
% 0.47/0.66  (assume t138.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))))
% 0.47/0.66  (step t138.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))))) :rule forall_inst :args ((:= A tptp.b) (:= B tptp.c) (:= C tptp.a)))
% 0.47/0.66  (step t138.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule or :premises (t138.t1))
% 0.47/0.66  (step t138.t3 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule resolution :premises (t138.t2 t138.a0))
% 0.47/0.66  (step t138 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule subproof :discharge (t138.a0))
% 0.47/0.66  (step t139 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) :rule resolution :premises (t137 t138))
% 0.47/0.66  (step t140 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))))) :rule implies_neg2)
% 0.47/0.66  (step t141 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))))) :rule resolution :premises (t139 t140))
% 0.47/0.66  (step t142 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c))))) :rule contraction :premises (t141))
% 0.47/0.66  (step t143 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a)))) :rule resolution :premises (t133 t136 t142))
% 0.47/0.66  (step t144 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule implies :premises (t143))
% 0.47/0.66  (step t145 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.b tptp.c)) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t144 a4))
% 0.47/0.66  (step t146 (cl (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) :rule resolution :premises (t124 t132 t145))
% 0.47/0.66  (step t147 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule equiv_pos2)
% 0.47/0.66  (step t148 (cl (= (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))))) :rule refl)
% 0.47/0.66  (step t149 (cl (= (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule all_simplify)
% 0.47/0.66  (step t150 (cl (= (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule cong :premises (t148 t149))
% 0.47/0.66  (step t151 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))))) :rule cong :premises (t78 t150))
% 0.47/0.66  (step t152 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t153)
% 0.47/0.66  (assume t153.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))
% 0.47/0.66  (step t153.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)))) :rule forall_inst :args ((:= A (tptp.commutator tptp.b tptp.c)) (:= B (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (:= C tptp.a)))
% 0.47/0.66  (step t153.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) :rule or :premises (t153.t1))
% 0.47/0.66  (step t153.t3 (cl (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) :rule resolution :premises (t153.t2 t153.a0))
% 0.47/0.66  (step t153 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) :rule subproof :discharge (t153.a0))
% 0.47/0.66  (step t154 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) :rule resolution :premises (t152 t153))
% 0.47/0.66  (step t155 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (not (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)))) :rule implies_neg2)
% 0.47/0.66  (step t156 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)))) :rule resolution :premises (t154 t155))
% 0.47/0.66  (step t157 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))) tptp.a)))) :rule contraction :premises (t156))
% 0.47/0.66  (step t158 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))))) :rule resolution :premises (t147 t151 t157))
% 0.47/0.66  (step t159 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule implies :premises (t158))
% 0.47/0.66  (step t160 (cl (or (not (= (tptp.multiply (tptp.commutator tptp.b tptp.c) (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))) (tptp.multiply (tptp.commutator tptp.b tptp.c) tptp.a))) (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c)))))) :rule resolution :premises (t159 a2))
% 0.47/0.66  (step t161 (cl (= tptp.a (tptp.multiply tptp.a (tptp.commutator tptp.a (tptp.commutator tptp.b tptp.c))))) :rule resolution :premises (t110 t146 t160))
% 0.47/0.66  (step t162 (cl (not (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule or_pos)
% 0.47/0.66  (step t163 (cl (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (not (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule reordering :premises (t162))
% 0.47/0.66  (step t164 (cl (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule and_neg)
% 0.47/0.66  (step t165 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t166)
% 0.47/0.66  (assume t166.a0 (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (assume t166.a1 (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (step t166.t1 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t166.t2)
% 0.47/0.66  (assume t166.t2.a0 (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (assume t166.t2.a1 (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))
% 0.47/0.66  (step t166.t2.t1 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c))) :rule symm :premises (t166.t2.a1))
% 0.47/0.66  (step t166.t2.t2 (cl (= (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c))) :rule symm :premises (t166.t2.a0))
% 0.47/0.66  (step t166.t2.t3 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule symm :premises (t166.t2.t2))
% 0.47/0.66  (step t166.t2.t4 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule trans :premises (t166.t2.t1 t166.t2.t3))
% 0.47/0.66  (step t166.t2 (cl (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule subproof :discharge (t166.t2.a0 t166.t2.a1))
% 0.47/0.66  (step t166.t3 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule and_pos)
% 0.47/0.66  (step t166.t4 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t166.t5 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule resolution :premises (t166.t2 t166.t3 t166.t4))
% 0.47/0.66  (step t166.t6 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule reordering :premises (t166.t5))
% 0.47/0.66  (step t166.t7 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule contraction :premises (t166.t6))
% 0.47/0.66  (step t166.t8 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t166.t1 t166.t7))
% 0.47/0.66  (step t166.t9 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule implies_neg2)
% 0.47/0.66  (step t166.t10 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t166.t8 t166.t9))
% 0.47/0.66  (step t166.t11 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule contraction :premises (t166.t10))
% 0.47/0.66  (step t166.t12 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule implies :premises (t166.t11))
% 0.47/0.66  (step t166.t13 (cl (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule and_neg)
% 0.47/0.66  (step t166.t14 (cl (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t166.t13 t166.a1 t166.a0))
% 0.47/0.66  (step t166.t15 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t166.t12 t166.t14))
% 0.47/0.66  (step t166 (cl (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule subproof :discharge (t166.a0 t166.a1))
% 0.47/0.66  (step t167 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule and_pos)
% 0.47/0.66  (step t168 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule and_pos)
% 0.47/0.66  (step t169 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))))) :rule resolution :premises (t166 t167 t168))
% 0.47/0.66  (step t170 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule reordering :premises (t169))
% 0.47/0.66  (step t171 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule contraction :premises (t170))
% 0.47/0.66  (step t172 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t165 t171))
% 0.47/0.66  (step t173 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule implies_neg2)
% 0.47/0.66  (step t174 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t172 t173))
% 0.47/0.66  (step t175 (cl (=> (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule contraction :premises (t174))
% 0.47/0.66  (step t176 (cl (not (and (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule implies :premises (t175))
% 0.47/0.66  (step t177 (cl (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t164 t176))
% 0.47/0.66  (step t178 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t179)
% 0.47/0.66  (assume t179.a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))))
% 0.47/0.66  (step t179.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule forall_inst :args ((:= A (tptp.commutator tptp.a tptp.b)) (:= B tptp.c)))
% 0.47/0.66  (step t179.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule or :premises (t179.t1))
% 0.47/0.66  (step t179.t3 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t179.t2 t179.a0))
% 0.47/0.66  (step t179 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule subproof :discharge (t179.a0))
% 0.47/0.66  (step t180 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t178 t179))
% 0.47/0.66  (step t181 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule implies_neg2)
% 0.47/0.66  (step t182 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t180 t181))
% 0.47/0.66  (step t183 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule contraction :premises (t182))
% 0.47/0.66  (step t184 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B)))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule implies :premises (t183))
% 0.47/0.66  (step t185 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t184 a3))
% 0.47/0.66  (step t186 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t187)
% 0.47/0.66  (assume t187.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))))
% 0.47/0.66  (step t187.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule forall_inst :args ((:= A tptp.a) (:= B tptp.b) (:= C tptp.c)))
% 0.47/0.66  (step t187.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule or :premises (t187.t1))
% 0.47/0.66  (step t187.t3 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t187.t2 t187.a0))
% 0.47/0.66  (step t187 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule subproof :discharge (t187.a0))
% 0.47/0.66  (step t188 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t186 t187))
% 0.47/0.66  (step t189 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule implies_neg2)
% 0.47/0.66  (step t190 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t188 t189))
% 0.47/0.66  (step t191 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b))))) :rule contraction :premises (t190))
% 0.47/0.66  (step t192 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule implies :premises (t191))
% 0.47/0.66  (step t193 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.c) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t192 a4))
% 0.47/0.66  (step t194 (cl (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t177 t185 t193))
% 0.47/0.66  (step t195 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule equiv_pos2)
% 0.47/0.66  (step t196 (cl (= (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))))) :rule refl)
% 0.47/0.66  (step t197 (cl (= (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule all_simplify)
% 0.47/0.66  (step t198 (cl (= (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule cong :premises (t196 t197))
% 0.47/0.66  (step t199 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))))) :rule cong :premises (t78 t198))
% 0.47/0.66  (step t200 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t201)
% 0.47/0.66  (assume t201.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))
% 0.47/0.66  (step t201.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))))) :rule forall_inst :args ((:= A tptp.c) (:= B (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (:= C (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (step t201.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) :rule or :premises (t201.t1))
% 0.47/0.66  (step t201.t3 (cl (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t201.t2 t201.a0))
% 0.47/0.66  (step t201 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) :rule subproof :discharge (t201.a0))
% 0.47/0.66  (step t202 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t200 t201))
% 0.47/0.66  (step t203 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (not (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))))) :rule implies_neg2)
% 0.47/0.66  (step t204 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t202 t203))
% 0.47/0.66  (step t205 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)) (tptp.commutator tptp.a tptp.b))))) :rule contraction :premises (t204))
% 0.47/0.66  (step t206 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))))) :rule resolution :premises (t195 t199 t205))
% 0.47/0.66  (step t207 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C)))) (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule implies :premises (t206))
% 0.47/0.66  (step t208 (cl (or (not (= (tptp.multiply tptp.c (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))) (tptp.multiply tptp.c (tptp.commutator tptp.a tptp.b)))) (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c))))) :rule resolution :premises (t207 a2))
% 0.47/0.66  (step t209 (cl (= (tptp.commutator tptp.a tptp.b) (tptp.multiply (tptp.commutator tptp.a tptp.b) (tptp.commutator (tptp.commutator tptp.a tptp.b) tptp.c)))) :rule resolution :premises (t163 t194 t208))
% 0.47/0.66  (step t210 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t211)
% 0.47/0.66  (assume t211.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.47/0.66  (step t211.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule forall_inst :args ((:= X tptp.b) (:= Y (tptp.commutator tptp.a tptp.b)) (:= Z tptp.a)))
% 0.47/0.66  (step t211.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule or :premises (t211.t1))
% 0.47/0.66  (step t211.t3 (cl (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t211.t2 t211.a0))
% 0.47/0.66  (step t211 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule subproof :discharge (t211.a0))
% 0.47/0.66  (step t212 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t210 t211))
% 0.47/0.66  (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (not (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule implies_neg2)
% 0.47/0.66  (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule resolution :premises (t212 t213))
% 0.47/0.66  (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule contraction :premises (t214))
% 0.47/0.66  (step t216 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule implies :premises (t215))
% 0.47/0.66  (step t217 (cl (= (tptp.multiply (tptp.multiply tptp.b (tptp.commutator tptp.a tptp.b)) tptp.a) (tptp.multiply tptp.b (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t216 a0))
% 0.47/0.66  (step t218 (cl (not (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) (not (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule equiv_pos2)
% 0.47/0.66  (step t219 (cl (= (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule all_simplify)
% 0.47/0.66  (step t220 (cl (= (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))))) :rule cong :premises (t134 t219))
% 0.47/0.66  (step t221 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t222)
% 0.47/0.66  (assume t222.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))))
% 0.47/0.66  (step t222.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule forall_inst :args ((:= A tptp.a) (:= B tptp.b) (:= C tptp.a)))
% 0.47/0.66  (step t222.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) :rule or :premises (t222.t1))
% 0.47/0.66  (step t222.t3 (cl (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t222.t2 t222.a0))
% 0.47/0.66  (step t222 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) :rule subproof :discharge (t222.a0))
% 0.47/0.66  (step t223 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t221 t222))
% 0.47/0.66  (step t224 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (not (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule implies_neg2)
% 0.47/0.66  (step t225 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t223 t224))
% 0.47/0.66  (step t226 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a) (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule contraction :premises (t225))
% 0.47/0.66  (step t227 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B)))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a)))) :rule resolution :premises (t218 t220 t226))
% 0.47/0.66  (step t228 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply (tptp.commutator A B) C) (tptp.multiply C (tptp.commutator A B))))) (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) :rule implies :premises (t227))
% 0.47/0.66  (step t229 (cl (= (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)) (tptp.multiply (tptp.commutator tptp.a tptp.b) tptp.a))) :rule resolution :premises (t228 a4))
% 0.47/0.66  (step t230 (cl (not (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))))) (not (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))))) :rule equiv_pos2)
% 0.47/0.66  (step t231 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule refl)
% 0.47/0.66  (step t232 (cl (= (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))))) :rule all_simplify)
% 0.47/0.66  (step t233 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))))) :rule cong :premises (t231 t232))
% 0.47/0.66  (step t234 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 0.47/0.66  (anchor :step t235)
% 0.47/0.66  (assume t235.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 0.47/0.66  (step t235.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a) (:= Z (tptp.commutator tptp.a tptp.b))))
% 0.47/0.66  (step t235.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule or :premises (t235.t1))
% 0.47/0.66  (step t235.t3 (cl (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t235.t2 t235.a0))
% 0.47/0.66  (step t235 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule subproof :discharge (t235.a0))
% 0.47/0.66  (step t236 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t234 t235))
% 0.47/0.66  (step t237 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (not (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))))) :rule implies_neg2)
% 0.47/0.66  (step t238 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))))) :rule resolution :premises (t236 t237))
% 0.47/0.66  (step t239 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)) (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b)))))) :rule contraction :premises (t238))
% 0.47/0.66  (step t240 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b))))) :rule resolution :premises (t230 t233 t239))
% 0.47/0.66  (step t241 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) :rule implies :premises (t240))
% 0.47/0.66  (step t242 (cl (= (tptp.multiply tptp.b (tptp.multiply tptp.a (tptp.commutator tptp.a tptp.b))) (tptp.multiply (tptp.multiply tptp.b tptp.a) (tptp.commutator tptp.a tptp.b)))) :rule resolution :premises (t241 a0))
% 0.47/0.66  (step t243 (cl) :rule resolution :premises (t74 t92 t100 t108 t161 t209 t217 t229 t242))
% 0.47/0.66  
% 0.47/0.66  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.XC2QdOdna7/cvc5---1.0.5_574.smt2
% 0.47/0.66  % cvc5---1.0.5 exiting
% 0.47/0.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------