TSTP Solution File: BOO071-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO071-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : 600s
% DateTime : Thu Jul 14 23:46:05 EDT 2022
% Result : Unsatisfiable 1.07s 1.27s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 126
% Syntax : Number of clauses : 477 ( 242 unt; 0 nHn; 216 RR)
% Number of literals : 820 ( 819 equ; 347 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 1903 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ).
cnf(prove_tba_axioms_5,negated_conjecture,
multiply(inverse(b),b,a) != a ).
cnf(refute_0_0,plain,
multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)))),bind(B,$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)))]]) ).
cnf(refute_0_1,plain,
multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) = multiply(X_2,X_3,X_6),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(X_2,X_3,X_4))),bind(B,$fot(multiply(X_2,X_3,X_6))),bind(C,$fot(X_2)),bind(D,$fot(X_3)),bind(E,$fot(X_4)),bind(F,$fot(inverse(multiply(X_2,X_3,X_4)))),bind(G,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) != multiply(X_2,X_3,X_6)
| multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0,0],$fot(multiply(X_2,X_3,X_6))]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),multiply(X_2,X_3,X_6)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) = B,
inference(subst,[],[single_axiom:[bind(E,$fot(multiply(X_3,multiply(X_6,X_5,X_4),X_2))),bind(F,$fot(inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))))),bind(G,$fot(multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_6,plain,
multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)) = X_1,
inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3)),bind(E,$fot(X_4)),bind(F,$fot(X_5)),bind(G,$fot(X_6))]]) ).
cnf(refute_0_7,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) != B
| multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)) != X_1
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)),B) ),[0,2,1],$fot(X_1)]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),X_1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)),B) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)) = B,
inference(subst,[],[refute_0_9:[bind(D,$fot(inverse(C))),bind(X_2,$fot(multiply(X_0,inverse(X_0),X_1))),bind(X_3,$fot(C)),bind(X_4,$fot(multiply(X_31,multiply(X_34,X_33,X_32),X_30))),bind(X_5,$fot(inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))))),bind(X_6,$fot(multiply(X_28,inverse(X_28),inverse(C))))]]) ).
cnf(refute_0_11,plain,
multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) = multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)),
inference(subst,[],[refute_0_9:[bind(A,$fot(C)),bind(B,$fot(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))),bind(C,$fot(multiply(X_0,inverse(X_0),X_1))),bind(D,$fot(C)),bind(X_0,$fot(X_28)),bind(X_1,$fot(inverse(C))),bind(X_2,$fot(X_30)),bind(X_3,$fot(X_31)),bind(X_4,$fot(X_32)),bind(X_5,$fot(X_33)),bind(X_6,$fot(X_34))]]) ).
cnf(refute_0_12,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)) != B
| multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) != multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) ),[0,1,0],$fot(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_28,inverse(X_28),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)) = inverse(C),
inference(subst,[],[single_axiom:[bind(A,$fot(X_28)),bind(B,$fot(inverse(C))),bind(C,$fot(X_30)),bind(D,$fot(X_31)),bind(E,$fot(X_32)),bind(F,$fot(X_33)),bind(G,$fot(X_34))]]) ).
cnf(refute_0_16,plain,
multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)),
introduced(tautology,[refl,[$fot(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_17,plain,
( multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) != multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))
| multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)) != inverse(C)
| multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_18,plain,
( multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)) != inverse(C)
| multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),inverse(C)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),
introduced(tautology,[refl,[$fot(inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_21,plain,
( inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) != inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))
| multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) != multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))
| inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))) ),[1,0],$fot(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_22,plain,
( multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)) != multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))
| inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1)),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)))]]) ).
cnf(refute_0_25,plain,
( inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) != inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) ),[1,1],$fot(inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_26,plain,
( inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))) != inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) ),[0],$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)))]]) ).
cnf(refute_0_29,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_28,inverse(X_28),inverse(C)),inverse(multiply(multiply(X_30,X_31,X_32),X_33,multiply(X_30,X_31,X_34))),multiply(X_31,multiply(X_34,X_33,X_32),X_30)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) )],[refute_0_14,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = B,
inference(subst,[],[refute_0_30:[bind(X_0,$fot(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)))),bind(X_1,$fot(multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_32,plain,
multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)) = multiply(X_38,inverse(X_38),X_39),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_35)),bind(B,$fot(multiply(X_38,inverse(X_38),X_39))),bind(C,$fot(X_35)),bind(X_0,$fot(X_38)),bind(X_1,$fot(X_39))]]) ).
cnf(refute_0_33,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != B
| multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)) != multiply(X_38,inverse(X_38),X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),B) ),[0,1,0,2],$fot(multiply(X_38,inverse(X_38),X_39))]]) ).
cnf(refute_0_34,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),multiply(X_38,inverse(X_38),X_39)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),B) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_35),X_39,X_35),
inference(subst,[],[refute_0_30:[bind(A,$fot(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)))),bind(B,$fot(multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_37,plain,
( multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)) != multiply(X_38,inverse(X_38),X_39)
| multiply(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_35),X_39,X_35)
| multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_35),X_39,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_35),X_39,X_35)) ),[0,0],$fot(multiply(X_38,inverse(X_38),X_39))]]) ).
cnf(refute_0_38,plain,
( multiply(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_35),X_39,X_35)
| multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_35),X_39,X_35) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),multiply(X_38,inverse(X_38),X_39)) )],[refute_0_32,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_35),X_39,X_35),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_35),X_39,X_35)) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = X_39,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_38)),bind(B,$fot(X_39))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != X_39
| multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_35),X_39,X_35)
| X_39 = multiply(inverse(X_35),X_39,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_35),X_39,X_35)) ),[0],$fot(X_39)]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_35),X_39,X_35)
| X_39 = multiply(inverse(X_35),X_39,X_35) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),X_39) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
X_39 = multiply(inverse(X_35),X_39,X_35),
inference(resolve,[$cnf( $equal(multiply(multiply(X_38,inverse(X_38),X_39),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_35),X_39,X_35)) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_45,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_46,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( X_39 != multiply(inverse(X_35),X_39,X_35)
| multiply(inverse(X_35),X_39,X_35) = X_39 ),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_39)),bind(Y,$fot(multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_48,plain,
multiply(inverse(X_35),X_39,X_35) = X_39,
inference(resolve,[$cnf( $equal(X_39,multiply(inverse(X_35),X_39,X_35)) )],[refute_0_43,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) = multiply(inverse(X_35),X_39,X_35),
inference(subst,[],[refute_0_48:[bind(X_35,$fot(C)),bind(X_39,$fot(multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_50,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_51,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_46,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) != multiply(inverse(X_35),X_39,X_35)
| multiply(inverse(X_35),X_39,X_35) != X_39
| multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) = X_39 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C))),bind(Y,$fot(multiply(inverse(X_35),X_39,X_35))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_53,plain,
( multiply(inverse(X_35),X_39,X_35) != X_39
| multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C),multiply(inverse(X_35),X_39,X_35)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) = X_39,
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),X_39,X_35),X_39) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)))]]) ).
cnf(refute_0_56,plain,
( multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) != X_39
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C))) ),[1,2],$fot(X_39)]]) ).
cnf(refute_0_57,plain,
( multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C) != X_39
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C),X_39) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),B) ),[0],$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39))]]) ).
cnf(refute_0_60,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(C),multiply(inverse(X_35),X_39,X_35),C)),B) )],[refute_0_35,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2),
inference(subst,[],[refute_0_4:[bind(X_4,$fot(X_14))]]) ).
cnf(refute_0_63,plain,
( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2)
| multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0],$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2))]]) ).
cnf(refute_0_64,plain,
( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_4,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2),
inference(subst,[],[refute_0_65:[bind(X_3,$fot(inverse(X_2)))]]) ).
cnf(refute_0_67,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A),
inference(subst,[],[refute_0_4:[bind(X_2,$fot(A)),bind(X_3,$fot(inverse(A))),bind(X_4,$fot(X_14)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_68,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A)
| multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) ),[0],$fot(multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A))]]) ).
cnf(refute_0_69,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
| multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35))),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = B,
inference(subst,[],[refute_0_70:[bind(A,$fot(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)))),bind(X_14,$fot(multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_72,plain,
( multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35))),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != B
| multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)) != multiply(X_38,inverse(X_38),X_39)
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35))),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),B) ),[0,1,1,0],$fot(multiply(X_38,inverse(X_38),X_39))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35))),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != B
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35)),multiply(X_38,inverse(X_38),X_39)) )],[refute_0_32,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)),inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(inverse(X_35),X_39,X_35))),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),B) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)))]]) ).
cnf(refute_0_76,plain,
( multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) != multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))
| multiply(inverse(X_35),X_39,X_35) != X_39
| multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))) ),[1,2],$fot(X_39)]]) ).
cnf(refute_0_77,plain,
( multiply(inverse(X_35),X_39,X_35) != X_39
| multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),X_39,X_35),X_39) )],[refute_0_48,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),
inference(subst,[],[refute_0_48:[bind(X_35,$fot(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39)))),bind(X_39,$fot(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))))]]) ).
cnf(refute_0_80,plain,
( multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) != multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))))),bind(Y,$fot(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)))),bind(Z,$fot(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)))]]) ).
cnf(refute_0_81,plain,
( multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)) != multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) = multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != B
| multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)
| multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),B) ),[0],$fot(multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))) != B
| multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),X_39) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),multiply(B,inverse(multiply(X_38,inverse(X_38),X_39)),multiply(inverse(X_35),X_39,X_35)),multiply(X_35,inverse(X_35),multiply(X_38,inverse(X_38),X_39))),B) )],[refute_0_74,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4) = X_6,
inference(subst,[],[refute_0_85:[bind(B,$fot(X_6)),bind(X_38,$fot(X_2)),bind(X_39,$fot(X_4))]]) ).
cnf(refute_0_87,plain,
( multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4) != X_6
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_88,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_6) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)) )],[refute_0_66,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) = multiply(X_6,inverse(X_2),X_2),
inference(subst,[],[refute_0_48:[bind(X_35,$fot(X_2)),bind(X_39,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).
cnf(refute_0_91,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4)),X_4),X_2),
inference(subst,[],[refute_0_65:[bind(X_3,$fot(inverse(multiply(X_43,inverse(X_43),X_4))))]]) ).
cnf(refute_0_92,plain,
multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4) = X_2,
inference(subst,[],[refute_0_85:[bind(B,$fot(X_2)),bind(X_38,$fot(X_43)),bind(X_39,$fot(X_4))]]) ).
cnf(refute_0_93,plain,
( multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4) != X_2
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4)),X_4),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4)),X_4),X_2)) ),[1,1,1,0],$fot(X_2)]]) ).
cnf(refute_0_94,plain,
( multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4)),X_4),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4),X_2) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_4)),X_4),X_2)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(multiply(X_43,inverse(X_43),X_35)) = multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35),
inference(subst,[],[refute_0_43:[bind(X_39,$fot(inverse(multiply(X_43,inverse(X_43),X_35))))]]) ).
cnf(refute_0_97,plain,
multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35) = inverse(X_35),
inference(subst,[],[refute_0_85:[bind(B,$fot(inverse(X_35))),bind(X_38,$fot(X_43)),bind(X_39,$fot(X_35))]]) ).
cnf(refute_0_98,plain,
( inverse(multiply(X_43,inverse(X_43),X_35)) != multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35)
| multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35) != inverse(X_35)
| inverse(multiply(X_43,inverse(X_43),X_35)) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_43,inverse(X_43),X_35)),inverse(X_35)) ),[0],$fot(multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35))]]) ).
cnf(refute_0_99,plain,
( inverse(multiply(X_43,inverse(X_43),X_35)) != multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35)
| inverse(multiply(X_43,inverse(X_43),X_35)) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35),inverse(X_35)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
inverse(multiply(X_43,inverse(X_43),X_35)) = inverse(X_35),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,inverse(X_43),X_35)),multiply(inverse(X_35),inverse(multiply(X_43,inverse(X_43),X_35)),X_35)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
inverse(multiply(X_43,inverse(X_43),X_4)) = inverse(X_4),
inference(subst,[],[refute_0_100:[bind(X_35,$fot(X_4))]]) ).
cnf(refute_0_102,plain,
multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) = multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14),
introduced(tautology,[refl,[$fot(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14))]]) ).
cnf(refute_0_103,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) != multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)
| multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14),multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_104,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14),multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,inverse(X_43),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) = inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)))]]) ).
cnf(refute_0_107,plain,
( inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) != inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14))
| multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
| inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14))) ),[1,0],$fot(multiply(X_2,inverse(X_4),X_14))]]) ).
cnf(refute_0_108,plain,
( multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
| inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14),multiply(X_2,inverse(X_4),X_14)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),
introduced(tautology,[refl,[$fot(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14))]]) ).
cnf(refute_0_111,plain,
( inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) != multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14)
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14)) ),[1,1],$fot(inverse(multiply(X_2,inverse(X_4),X_14)))]]) ).
cnf(refute_0_112,plain,
( inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),inverse(multiply(X_2,inverse(X_4),X_14))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2))]]) ).
cnf(refute_0_115,plain,
( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) != multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)) ),[1,1],$fot(multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14))]]) ).
cnf(refute_0_116,plain,
( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14) != multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2))]]) ).
cnf(refute_0_119,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_120,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,inverse(X_43),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2))),bind(Y,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2))),bind(Z,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)))]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_117,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[0],$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2))]]) ).
cnf(refute_0_126,plain,
( multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).
cnf(refute_0_128,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_129,plain,
( inverse(multiply(X_43,inverse(X_43),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,inverse(X_43),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)) ),[0],$fot(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_126,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_43,inverse(X_43),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_43,inverse(X_43),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_95,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),
inference(subst,[],[refute_0_134:[bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_136,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) != multiply(X_6,inverse(X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2))),bind(Y,$fot(multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2))),bind(Z,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).
cnf(refute_0_137,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) != multiply(X_6,inverse(X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_90,refute_0_137]) ).
cnf(refute_0_139,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(X_6,inverse(X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = multiply(inverse(X_2),X_6,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),X_6,X_2)) ),[0],$fot(multiply(X_6,inverse(X_2),X_2))]]) ).
cnf(refute_0_140,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = multiply(inverse(X_2),X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(X_2),X_6,X_2) = X_6,
inference(subst,[],[refute_0_48:[bind(X_35,$fot(X_2)),bind(X_39,$fot(X_6))]]) ).
cnf(refute_0_142,plain,
( multiply(X_6,inverse(X_2),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(inverse(X_2),X_6,X_2) != X_6
| multiply(X_6,inverse(X_2),X_2) = X_6 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_6,inverse(X_2),X_2),X_6) ),[0],$fot(multiply(inverse(X_2),X_6,X_2))]]) ).
cnf(refute_0_143,plain,
( multiply(X_6,inverse(X_2),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),X_6,X_2),X_6) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_2),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(X_6,inverse(X_2),X_2) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_89,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(multiply(A,inverse(A),B),inverse(X_39),X_39) = multiply(A,inverse(A),B),
inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_39)),bind(X_6,$fot(multiply(A,inverse(A),B)))]]) ).
cnf(refute_0_147,plain,
inverse(multiply(X_38,inverse(X_38),X_39)) = inverse(X_39),
inference(subst,[],[refute_0_100:[bind(X_35,$fot(X_39)),bind(X_43,$fot(X_38))]]) ).
cnf(refute_0_148,plain,
inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) = inverse(multiply(X_38,inverse(X_38),X_39)),
inference(subst,[],[refute_0_100:[bind(X_35,$fot(multiply(X_38,inverse(X_38),X_39))),bind(X_43,$fot(C))]]) ).
cnf(refute_0_149,plain,
( inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) != inverse(multiply(X_38,inverse(X_38),X_39))
| inverse(multiply(X_38,inverse(X_38),X_39)) != inverse(X_39)
| inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) = inverse(X_39) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))))),bind(Y,$fot(inverse(multiply(X_38,inverse(X_38),X_39)))),bind(Z,$fot(inverse(X_39)))]]) ).
cnf(refute_0_150,plain,
( inverse(multiply(X_38,inverse(X_38),X_39)) != inverse(X_39)
| inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) = inverse(X_39) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),inverse(multiply(X_38,inverse(X_38),X_39))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) = inverse(X_39),
inference(resolve,[$cnf( $equal(inverse(multiply(X_38,inverse(X_38),X_39)),inverse(X_39)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39))]]) ).
cnf(refute_0_153,plain,
( inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) != inverse(X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(multiply(A,inverse(A),B),inverse(X_39),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39)) ),[1,1],$fot(inverse(X_39))]]) ).
cnf(refute_0_154,plain,
( inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))) != inverse(X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(multiply(A,inverse(A),B),inverse(X_39),X_39) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(multiply(A,inverse(A),B),inverse(X_39),X_39),
inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),inverse(X_39)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( multiply(multiply(A,inverse(A),B),inverse(X_39),X_39) != multiply(A,inverse(A),B)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) != multiply(multiply(A,inverse(A),B),inverse(X_39),X_39)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(A,inverse(A),B) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39))),bind(Y,$fot(multiply(multiply(A,inverse(A),B),inverse(X_39),X_39))),bind(Z,$fot(multiply(A,inverse(A),B)))]]) ).
cnf(refute_0_157,plain,
( multiply(multiply(A,inverse(A),B),inverse(X_39),X_39) != multiply(A,inverse(A),B)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(A,inverse(A),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),multiply(multiply(A,inverse(A),B),inverse(X_39),X_39)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) = multiply(A,inverse(A),B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(X_39),X_39),multiply(A,inverse(A),B)) )],[refute_0_146,refute_0_157]) ).
cnf(refute_0_159,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) != multiply(A,inverse(A),B)
| multiply(A,inverse(A),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),B) ),[0],$fot(multiply(A,inverse(A),B))]]) ).
cnf(refute_0_160,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39) != B
| multiply(A,inverse(A),B) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),multiply(A,inverse(A),B)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(A,inverse(A),B) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_38,inverse(X_38),X_39))),X_39),B) )],[refute_0_61,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)))]]) ).
cnf(refute_0_163,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_164,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))
| multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) ),[0],$fot(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)))]]) ).
cnf(refute_0_167,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
| multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_167]) ).
cnf(refute_0_169,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_2,X_3,X_6),
inference(subst,[],[refute_0_168:[bind(B,$fot(multiply(X_2,X_3,X_6)))]]) ).
cnf(refute_0_170,plain,
( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_2,X_3,X_6)
| multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0],$fot(multiply(X_2,X_3,X_6))]]) ).
cnf(refute_0_171,plain,
( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_2,X_3,X_6)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_4,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(subst,[],[refute_0_172:[bind(X_6,$fot(multiply(X_2,X_3,X_4)))]]) ).
cnf(refute_0_174,plain,
multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4) = X_4,
inference(subst,[],[refute_0_161:[bind(A,$fot(multiply(X_2,X_3,X_4))),bind(B,$fot(X_4))]]) ).
cnf(refute_0_175,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,X_4)) != multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4) != X_4
| multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,X_4)),multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_176,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,X_4)) != multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_4) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,X_4)),multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(X_53,inverse(X_55),multiply(X_53,inverse(X_55),X_55)) = multiply(inverse(X_55),X_55,X_53),
inference(subst,[],[refute_0_177:[bind(X_2,$fot(X_53)),bind(X_3,$fot(inverse(X_55))),bind(X_4,$fot(X_55))]]) ).
cnf(refute_0_179,plain,
multiply(X_53,inverse(X_55),X_55) = X_53,
inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_55)),bind(X_6,$fot(X_53))]]) ).
cnf(refute_0_180,plain,
( multiply(X_53,inverse(X_55),X_55) != X_53
| multiply(X_53,inverse(X_55),multiply(X_53,inverse(X_55),X_55)) != multiply(inverse(X_55),X_55,X_53)
| multiply(X_53,inverse(X_55),X_53) = multiply(inverse(X_55),X_55,X_53) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,inverse(X_55),multiply(X_53,inverse(X_55),X_55)),multiply(inverse(X_55),X_55,X_53)) ),[0,2],$fot(X_53)]]) ).
cnf(refute_0_181,plain,
( multiply(X_53,inverse(X_55),multiply(X_53,inverse(X_55),X_55)) != multiply(inverse(X_55),X_55,X_53)
| multiply(X_53,inverse(X_55),X_53) = multiply(inverse(X_55),X_55,X_53) ),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_55),X_55),X_53) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(X_53,inverse(X_55),X_53) = multiply(inverse(X_55),X_55,X_53),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_55),multiply(X_53,inverse(X_55),X_55)),multiply(inverse(X_55),X_55,X_53)) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(X_53,inverse(X_55),X_53) != multiply(inverse(X_55),X_55,X_53)
| multiply(inverse(X_55),X_55,X_53) = multiply(X_53,inverse(X_55),X_53) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_53,inverse(X_55),X_53))),bind(Y,$fot(multiply(inverse(X_55),X_55,X_53)))]]) ).
cnf(refute_0_184,plain,
multiply(inverse(X_55),X_55,X_53) = multiply(X_53,inverse(X_55),X_53),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_55),X_53),multiply(inverse(X_55),X_55,X_53)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(b),b,a) = multiply(a,inverse(b),a),
inference(subst,[],[refute_0_184:[bind(X_53,$fot(a)),bind(X_55,$fot(b))]]) ).
cnf(refute_0_186,plain,
( multiply(a,inverse(b),a) != a
| multiply(inverse(b),b,a) != multiply(a,inverse(b),a)
| multiply(inverse(b),b,a) = a ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(b),b,a),multiply(a,inverse(b),a)) ),[1],$fot(a)]]) ).
cnf(refute_0_187,plain,
( multiply(a,inverse(b),a) != a
| multiply(inverse(b),b,a) = a ),
inference(resolve,[$cnf( $equal(multiply(inverse(b),b,a),multiply(a,inverse(b),a)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(a,inverse(b),a) != a,
inference(resolve,[$cnf( $equal(multiply(inverse(b),b,a),a) )],[refute_0_187,prove_tba_axioms_5]) ).
cnf(refute_0_189,plain,
multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4),
inference(subst,[],[refute_0_172:[bind(X_2,$fot(X_4)),bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_190,plain,
multiply(A,inverse(A),inverse(inverse(A))) = inverse(inverse(A)),
inference(subst,[],[refute_0_161:[bind(B,$fot(inverse(inverse(A))))]]) ).
cnf(refute_0_191,plain,
multiply(inverse(X_55),X_54,multiply(inverse(X_55),X_54,X_55)) = multiply(X_54,X_55,inverse(X_55)),
inference(subst,[],[refute_0_177:[bind(X_2,$fot(inverse(X_55))),bind(X_3,$fot(X_54)),bind(X_4,$fot(X_55))]]) ).
cnf(refute_0_192,plain,
X_54 = multiply(inverse(X_55),X_54,X_55),
inference(subst,[],[refute_0_43:[bind(X_35,$fot(X_55)),bind(X_39,$fot(X_54))]]) ).
cnf(refute_0_193,plain,
( X_54 != multiply(inverse(X_55),X_54,X_55)
| multiply(inverse(X_55),X_54,X_55) = X_54 ),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_54)),bind(Y,$fot(multiply(inverse(X_55),X_54,X_55)))]]) ).
cnf(refute_0_194,plain,
multiply(inverse(X_55),X_54,X_55) = X_54,
inference(resolve,[$cnf( $equal(X_54,multiply(inverse(X_55),X_54,X_55)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_55),X_54,X_55) != X_54
| multiply(inverse(X_55),X_54,multiply(inverse(X_55),X_54,X_55)) != multiply(X_54,X_55,inverse(X_55))
| multiply(inverse(X_55),X_54,X_54) = multiply(X_54,X_55,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_55),X_54,multiply(inverse(X_55),X_54,X_55)),multiply(X_54,X_55,inverse(X_55))) ),[0,2],$fot(X_54)]]) ).
cnf(refute_0_196,plain,
( multiply(inverse(X_55),X_54,multiply(inverse(X_55),X_54,X_55)) != multiply(X_54,X_55,inverse(X_55))
| multiply(inverse(X_55),X_54,X_54) = multiply(X_54,X_55,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),X_54,X_55),X_54) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(X_55),X_54,X_54) = multiply(X_54,X_55,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),X_54,multiply(inverse(X_55),X_54,X_55)),multiply(X_54,X_55,inverse(X_55))) )],[refute_0_191,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(inverse(A)),A,A) = multiply(A,inverse(A),inverse(inverse(A))),
inference(subst,[],[refute_0_197:[bind(X_54,$fot(A)),bind(X_55,$fot(inverse(A)))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(inverse(A)),A,A) != multiply(A,inverse(A),inverse(inverse(A)))
| multiply(A,inverse(A),inverse(inverse(A))) = multiply(inverse(inverse(A)),A,A) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(inverse(inverse(A)),A,A))),bind(Y,$fot(multiply(A,inverse(A),inverse(inverse(A)))))]]) ).
cnf(refute_0_200,plain,
multiply(A,inverse(A),inverse(inverse(A))) = multiply(inverse(inverse(A)),A,A),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(A,inverse(A),inverse(inverse(A)))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(A,inverse(A),inverse(inverse(A))) != inverse(inverse(A))
| multiply(A,inverse(A),inverse(inverse(A))) != multiply(inverse(inverse(A)),A,A)
| multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),inverse(inverse(A))) ),[0],$fot(multiply(inverse(inverse(A)),A,A))]]) ).
cnf(refute_0_202,plain,
( multiply(A,inverse(A),inverse(inverse(A))) != inverse(inverse(A))
| multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),multiply(inverse(inverse(A)),A,A)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),inverse(inverse(A))) )],[refute_0_190,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(subst,[],[refute_0_9:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_205,plain,
inverse(inverse(B)) = multiply(inverse(B),inverse(inverse(B)),B),
inference(subst,[],[refute_0_43:[bind(X_35,$fot(B)),bind(X_39,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_206,plain,
( inverse(inverse(B)) != multiply(inverse(B),inverse(inverse(B)),B)
| multiply(inverse(B),inverse(inverse(B)),B) = inverse(inverse(B)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(inverse(B)))),bind(Y,$fot(multiply(inverse(B),inverse(inverse(B)),B)))]]) ).
cnf(refute_0_207,plain,
multiply(inverse(B),inverse(inverse(B)),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),multiply(inverse(B),inverse(inverse(B)),B)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( multiply(inverse(B),inverse(inverse(B)),B) != inverse(inverse(B))
| multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) ),[0,0],$fot(inverse(inverse(B)))]]) ).
cnf(refute_0_209,plain,
( multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),inverse(inverse(B)),B),inverse(inverse(B))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_204,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(X_0,inverse(X_0),X_1) = X_1,
inference(subst,[],[refute_0_161:[bind(A,$fot(X_0)),bind(B,$fot(X_1))]]) ).
cnf(refute_0_212,plain,
multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,multiply(X_0,inverse(X_0),X_1)),
introduced(tautology,[refl,[$fot(multiply(C,D,multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_213,plain,
( multiply(C,D,multiply(X_0,inverse(X_0),X_1)) != multiply(C,D,multiply(X_0,inverse(X_0),X_1))
| multiply(X_0,inverse(X_0),X_1) != X_1
| multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) ),[1,2],$fot(X_1)]]) ).
cnf(refute_0_214,plain,
( multiply(X_0,inverse(X_0),X_1) != X_1
| multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,X_1) ),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,X_1),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0),X_1),X_1) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),
introduced(tautology,[refl,[$fot(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_217,plain,
( multiply(C,D,multiply(X_0,inverse(X_0),X_1)) != multiply(C,D,X_1)
| multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) != multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))
| multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) ),[1,2],$fot(multiply(C,D,X_1))]]) ).
cnf(refute_0_218,plain,
( multiply(C,D,multiply(X_0,inverse(X_0),X_1)) != multiply(C,D,X_1)
| multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,X_1)) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))))]]) ).
cnf(refute_0_221,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))))
| multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) != multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))
| inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))))) ),[1,0],$fot(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))]]) ).
cnf(refute_0_222,plain,
( multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) != multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))
| inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_225,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) ),[1,1],$fot(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))))]]) ).
cnf(refute_0_226,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_229,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_230,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Y,$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Z,$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))))]]) ).
cnf(refute_0_233,plain,
( multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_227,refute_0_233]) ).
cnf(refute_0_235,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) ),[0],$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_236,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_9,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = inverse(inverse(B)),
inference(subst,[],[refute_0_237:[bind(B,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_239,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_240,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) ),[1,1],$fot(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))))]]) ).
cnf(refute_0_241,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))) )],[refute_0_223,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) != inverse(inverse(B))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Y,$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)))),bind(Z,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) != inverse(inverse(B))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),inverse(inverse(B))) )],[refute_0_238,refute_0_244]) ).
cnf(refute_0_246,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != inverse(inverse(B))
| inverse(inverse(B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) ),[0],$fot(inverse(inverse(B)))]]) ).
cnf(refute_0_247,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| inverse(inverse(B)) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),inverse(inverse(B))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
inverse(inverse(B)) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_210,refute_0_247]) ).
cnf(refute_0_249,plain,
inverse(inverse(A)) = A,
inference(subst,[],[refute_0_248:[bind(B,$fot(A))]]) ).
cnf(refute_0_250,plain,
multiply(inverse(inverse(A)),A,A) = multiply(inverse(inverse(A)),A,A),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(A)),A,A))]]) ).
cnf(refute_0_251,plain,
( inverse(inverse(A)) != A
| multiply(inverse(inverse(A)),A,A) != multiply(inverse(inverse(A)),A,A)
| multiply(inverse(inverse(A)),A,A) = multiply(A,A,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(inverse(inverse(A)),A,A)) ),[1,0],$fot(A)]]) ).
cnf(refute_0_252,plain,
( inverse(inverse(A)) != A
| multiply(inverse(inverse(A)),A,A) = multiply(A,A,A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(inverse(inverse(A)),A,A)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(inverse(inverse(A)),A,A) = multiply(A,A,A),
inference(resolve,[$cnf( $equal(inverse(inverse(A)),A) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
| multiply(inverse(inverse(A)),A,A) != multiply(A,A,A)
| multiply(A,A,A) = inverse(inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),inverse(inverse(A))) ),[0],$fot(multiply(A,A,A))]]) ).
cnf(refute_0_255,plain,
( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
| multiply(A,A,A) = inverse(inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(A,A,A)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( inverse(inverse(A)) != A
| multiply(A,A,A) != inverse(inverse(A))
| multiply(A,A,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,A,A),inverse(inverse(A))) ),[1],$fot(A)]]) ).
cnf(refute_0_257,plain,
( multiply(A,A,A) != inverse(inverse(A))
| multiply(A,A,A) = A ),
inference(resolve,[$cnf( $equal(inverse(inverse(A)),A) )],[refute_0_249,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
| multiply(A,A,A) = A ),
inference(resolve,[$cnf( $equal(multiply(A,A,A),inverse(inverse(A))) )],[refute_0_255,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(A,A,A) = A,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),inverse(inverse(A))) )],[refute_0_203,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(X_4,X_4,X_4) = X_4,
inference(subst,[],[refute_0_259:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_261,plain,
( multiply(X_4,X_4,X_4) != X_4
| multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)) ),[1,1,1,0],$fot(X_4)]]) ).
cnf(refute_0_262,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_4),X_4) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)) )],[refute_0_189,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(X_6,inverse(X_4),X_4) = X_6,
inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_4))]]) ).
cnf(refute_0_265,plain,
multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),
introduced(tautology,[refl,[$fot(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4))]]) ).
cnf(refute_0_266,plain,
( multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)
| multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,X_6,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_267,plain,
( multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,X_6,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_4),X_4),X_6) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) != multiply(X_4,X_6,X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,X_6,X_4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_4,X_4,X_6),multiply(X_4,X_6,X_4)) ),[0],$fot(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4))]]) ).
cnf(refute_0_270,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,X_6,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),multiply(X_4,X_6,X_4)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(X_4,X_4,X_6) = multiply(X_4,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)) )],[refute_0_263,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,X_6,X_4)
| multiply(X_4,X_6,X_4) = multiply(X_4,X_4,X_6) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_4,X_4,X_6))),bind(Y,$fot(multiply(X_4,X_6,X_4)))]]) ).
cnf(refute_0_273,plain,
multiply(X_4,X_6,X_4) = multiply(X_4,X_4,X_6),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,X_6,X_4)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(a,inverse(b),a) = multiply(a,a,inverse(b)),
inference(subst,[],[refute_0_273:[bind(X_4,$fot(a)),bind(X_6,$fot(inverse(b)))]]) ).
cnf(refute_0_275,plain,
( multiply(a,a,inverse(b)) != a
| multiply(a,inverse(b),a) != multiply(a,a,inverse(b))
| multiply(a,inverse(b),a) = a ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,inverse(b),a),multiply(a,a,inverse(b))) ),[1],$fot(a)]]) ).
cnf(refute_0_276,plain,
( multiply(a,a,inverse(b)) != a
| multiply(a,inverse(b),a) = a ),
inference(resolve,[$cnf( $equal(multiply(a,inverse(b),a),multiply(a,a,inverse(b))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(a,a,inverse(b)) != a,
inference(resolve,[$cnf( $equal(multiply(a,inverse(b),a),a) )],[refute_0_276,refute_0_188]) ).
cnf(refute_0_278,plain,
multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_2,X_3,X_55))) = multiply(X_3,multiply(X_2,X_3,X_55),X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(multiply(X_2,X_3,X_55)))]]) ).
cnf(refute_0_279,plain,
multiply(X_2,X_3,multiply(X_2,X_3,X_55)) = multiply(X_3,X_55,X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(X_55))]]) ).
cnf(refute_0_280,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,X_55)) != multiply(X_3,X_55,X_2)
| multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_2,X_3,X_55))) != multiply(X_3,multiply(X_2,X_3,X_55),X_2)
| multiply(X_2,X_3,multiply(X_3,X_55,X_2)) = multiply(X_3,multiply(X_2,X_3,X_55),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_2,X_3,X_55))),multiply(X_3,multiply(X_2,X_3,X_55),X_2)) ),[0,2],$fot(multiply(X_3,X_55,X_2))]]) ).
cnf(refute_0_281,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_2,X_3,X_55))) != multiply(X_3,multiply(X_2,X_3,X_55),X_2)
| multiply(X_2,X_3,multiply(X_3,X_55,X_2)) = multiply(X_3,multiply(X_2,X_3,X_55),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,X_55)),multiply(X_3,X_55,X_2)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_2,X_3,multiply(X_3,X_55,X_2)) = multiply(X_3,multiply(X_2,X_3,X_55),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_2,X_3,X_55))),multiply(X_3,multiply(X_2,X_3,X_55),X_2)) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_92,multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_91),
inference(subst,[],[refute_0_282:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92)),bind(X_55,$fot(multiply(X_92,inverse(X_91),X_92)))]]) ).
cnf(refute_0_284,plain,
multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) = multiply(X_3,inverse(X_2),X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(inverse(X_2)))]]) ).
cnf(refute_0_285,plain,
multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3)),
inference(subst,[],[refute_0_172:[bind(X_2,$fot(inverse(X_3))),bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_286,plain,
multiply(inverse(X_55),inverse(X_55),inverse(X_55)) = multiply(inverse(X_55),X_55,inverse(X_55)),
inference(subst,[],[refute_0_197:[bind(X_54,$fot(inverse(X_55)))]]) ).
cnf(refute_0_287,plain,
multiply(inverse(X_55),inverse(X_55),inverse(X_55)) = inverse(X_55),
inference(subst,[],[refute_0_259:[bind(A,$fot(inverse(X_55)))]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(X_55),inverse(X_55),inverse(X_55)) != inverse(X_55)
| multiply(inverse(X_55),inverse(X_55),inverse(X_55)) != multiply(inverse(X_55),X_55,inverse(X_55))
| inverse(X_55) = multiply(inverse(X_55),X_55,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_55),inverse(X_55),inverse(X_55)),multiply(inverse(X_55),X_55,inverse(X_55))) ),[0],$fot(inverse(X_55))]]) ).
cnf(refute_0_289,plain,
( multiply(inverse(X_55),inverse(X_55),inverse(X_55)) != multiply(inverse(X_55),X_55,inverse(X_55))
| inverse(X_55) = multiply(inverse(X_55),X_55,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),inverse(X_55),inverse(X_55)),inverse(X_55)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
inverse(X_55) = multiply(inverse(X_55),X_55,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),inverse(X_55),inverse(X_55)),multiply(inverse(X_55),X_55,inverse(X_55))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(X_3) = multiply(inverse(X_3),X_3,inverse(X_3)),
inference(subst,[],[refute_0_290:[bind(X_55,$fot(X_3))]]) ).
cnf(refute_0_292,plain,
( inverse(X_3) != multiply(inverse(X_3),X_3,inverse(X_3))
| multiply(inverse(X_3),X_3,inverse(X_3)) = inverse(X_3) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(multiply(inverse(X_3),X_3,inverse(X_3))))]]) ).
cnf(refute_0_293,plain,
multiply(inverse(X_3),X_3,inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),multiply(inverse(X_3),X_3,inverse(X_3))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))
| multiply(inverse(X_3),X_3,inverse(X_3)) != inverse(X_3)
| multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))) ),[1,1,1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_295,plain,
( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))
| multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,inverse(X_3)),inverse(X_3)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))) )],[refute_0_285,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) = X_6,
inference(subst,[],[refute_0_145:[bind(X_2,$fot(inverse(X_3)))]]) ).
cnf(refute_0_298,plain,
multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)))]]) ).
cnf(refute_0_299,plain,
( multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
| multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) != X_6
| multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_300,plain,
( multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) != X_6
| multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),X_6) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
( multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) != multiply(X_3,X_6,inverse(X_3))
| multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
| multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) ),[1],$fot(multiply(X_3,X_6,inverse(X_3)))]]) ).
cnf(refute_0_303,plain,
( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
| multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,X_6,inverse(X_3))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) )],[refute_0_296,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(inverse(X_55),X_55,X_53) = multiply(X_55,X_53,inverse(X_55)),
inference(subst,[],[refute_0_304:[bind(X_3,$fot(X_55)),bind(X_6,$fot(X_53))]]) ).
cnf(refute_0_306,plain,
( multiply(X_53,inverse(X_55),X_53) != multiply(inverse(X_55),X_55,X_53)
| multiply(inverse(X_55),X_55,X_53) != multiply(X_55,X_53,inverse(X_55))
| multiply(X_53,inverse(X_55),X_53) = multiply(X_55,X_53,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_53,inverse(X_55),X_53),multiply(X_55,X_53,inverse(X_55))) ),[0],$fot(multiply(inverse(X_55),X_55,X_53))]]) ).
cnf(refute_0_307,plain,
( multiply(X_53,inverse(X_55),X_53) != multiply(inverse(X_55),X_55,X_53)
| multiply(X_53,inverse(X_55),X_53) = multiply(X_55,X_53,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),X_55,X_53),multiply(X_55,X_53,inverse(X_55))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(X_53,inverse(X_55),X_53) = multiply(X_55,X_53,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_55),X_53),multiply(inverse(X_55),X_55,X_53)) )],[refute_0_182,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(X_3,inverse(X_2),X_3) = multiply(X_2,X_3,inverse(X_2)),
inference(subst,[],[refute_0_308:[bind(X_53,$fot(X_3)),bind(X_55,$fot(X_2))]]) ).
cnf(refute_0_310,plain,
( multiply(X_3,inverse(X_2),X_3) != multiply(X_2,X_3,inverse(X_2))
| multiply(X_2,X_3,inverse(X_2)) = multiply(X_3,inverse(X_2),X_3) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_3,inverse(X_2),X_3))),bind(Y,$fot(multiply(X_2,X_3,inverse(X_2))))]]) ).
cnf(refute_0_311,plain,
multiply(X_2,X_3,inverse(X_2)) = multiply(X_3,inverse(X_2),X_3),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_2),X_3),multiply(X_2,X_3,inverse(X_2))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( multiply(X_2,X_3,inverse(X_2)) != multiply(X_3,inverse(X_2),X_3)
| multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) != multiply(X_3,inverse(X_2),X_2)
| multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))),multiply(X_3,inverse(X_2),X_2)) ),[0,2],$fot(multiply(X_3,inverse(X_2),X_3))]]) ).
cnf(refute_0_313,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) != multiply(X_3,inverse(X_2),X_2)
| multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_2)),multiply(X_3,inverse(X_2),X_3)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))),multiply(X_3,inverse(X_2),X_2)) )],[refute_0_284,refute_0_313]) ).
cnf(refute_0_315,plain,
multiply(X_3,inverse(X_2),X_2) = X_3,
inference(subst,[],[refute_0_145:[bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_316,plain,
( multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != multiply(X_3,inverse(X_2),X_2)
| multiply(X_3,inverse(X_2),X_2) != X_3
| multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),X_3) ),[0],$fot(multiply(X_3,inverse(X_2),X_2))]]) ).
cnf(refute_0_317,plain,
( multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != multiply(X_3,inverse(X_2),X_2)
| multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_2),X_2),X_3) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),multiply(X_3,inverse(X_2),X_2)) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)) = X_92,
inference(subst,[],[refute_0_318:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92))]]) ).
cnf(refute_0_320,plain,
( multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_92,multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_91)
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_92,X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_92,multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_91)) ),[1,1],$fot(X_92)]]) ).
cnf(refute_0_321,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_92,multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_91)
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_92,X_92,X_91) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_92) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_92,X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_92,multiply(X_91,X_92,multiply(X_92,inverse(X_91),X_92)),X_91)) )],[refute_0_283,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_92,multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91),
inference(subst,[],[refute_0_282:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92)),bind(X_55,$fot(multiply(inverse(X_92),X_91,X_91)))]]) ).
cnf(refute_0_324,plain,
multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_3))) = multiply(X_3,inverse(X_3),X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_325,plain,
multiply(inverse(X_3),X_2,X_2) = multiply(X_2,X_3,inverse(X_3)),
inference(subst,[],[refute_0_197:[bind(X_54,$fot(X_2)),bind(X_55,$fot(X_3))]]) ).
cnf(refute_0_326,plain,
( multiply(inverse(X_3),X_2,X_2) != multiply(X_2,X_3,inverse(X_3))
| multiply(X_2,X_3,inverse(X_3)) = multiply(inverse(X_3),X_2,X_2) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(inverse(X_3),X_2,X_2))),bind(Y,$fot(multiply(X_2,X_3,inverse(X_3))))]]) ).
cnf(refute_0_327,plain,
multiply(X_2,X_3,inverse(X_3)) = multiply(inverse(X_3),X_2,X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_2,X_2),multiply(X_2,X_3,inverse(X_3))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( multiply(X_2,X_3,inverse(X_3)) != multiply(inverse(X_3),X_2,X_2)
| multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_3))) != multiply(X_3,inverse(X_3),X_2)
| multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = multiply(X_3,inverse(X_3),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_3))),multiply(X_3,inverse(X_3),X_2)) ),[0,2],$fot(multiply(inverse(X_3),X_2,X_2))]]) ).
cnf(refute_0_329,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_3))) != multiply(X_3,inverse(X_3),X_2)
| multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = multiply(X_3,inverse(X_3),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_3)),multiply(inverse(X_3),X_2,X_2)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = multiply(X_3,inverse(X_3),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_3))),multiply(X_3,inverse(X_3),X_2)) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(X_3,inverse(X_3),X_2) = X_2,
inference(subst,[],[refute_0_161:[bind(A,$fot(X_3)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_332,plain,
( multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) != multiply(X_3,inverse(X_3),X_2)
| multiply(X_3,inverse(X_3),X_2) != X_2
| multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = X_2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)),X_2) ),[0],$fot(multiply(X_3,inverse(X_3),X_2))]]) ).
cnf(refute_0_333,plain,
( multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) != multiply(X_3,inverse(X_3),X_2)
| multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3),X_2),X_2) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) = X_2,
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)),multiply(X_3,inverse(X_3),X_2)) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)) = X_91,
inference(subst,[],[refute_0_334:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92))]]) ).
cnf(refute_0_336,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_92,multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91)
| multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_92,X_91,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_92,multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91)) ),[1,1],$fot(X_91)]]) ).
cnf(refute_0_337,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_92,multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91)
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_92,X_91,X_91) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_92,X_91,X_91),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_92,multiply(X_91,X_92,multiply(inverse(X_92),X_91,X_91)),X_91)) )],[refute_0_323,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(X_2,X_3,multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2))) = multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(multiply(inverse(X_3),X_2,X_2)))]]) ).
cnf(refute_0_340,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2))) != multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)
| multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)) != X_2
| multiply(X_2,X_3,X_2) = multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2))),multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)) ),[0,2],$fot(X_2)]]) ).
cnf(refute_0_341,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2))) != multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)
| multiply(X_2,X_3,X_2) = multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2)),X_2) )],[refute_0_334,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(X_2,X_3,X_2) = multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(inverse(X_3),X_2,X_2))),multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)) )],[refute_0_339,refute_0_341]) ).
cnf(refute_0_343,plain,
multiply(X_2,multiply(X_2,X_2,X_93),X_2) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2),
inference(subst,[],[refute_0_342:[bind(X_3,$fot(multiply(X_2,X_2,X_93)))]]) ).
cnf(refute_0_344,plain,
multiply(X_2,X_2,multiply(X_2,X_93,X_2)) = multiply(X_2,multiply(X_2,X_2,X_93),X_2),
inference(subst,[],[refute_0_282:[bind(X_3,$fot(X_2)),bind(X_55,$fot(X_93))]]) ).
cnf(refute_0_345,plain,
( multiply(X_2,X_2,multiply(X_2,X_93,X_2)) != multiply(X_2,multiply(X_2,X_2,X_93),X_2)
| multiply(X_2,multiply(X_2,X_2,X_93),X_2) = multiply(X_2,X_2,multiply(X_2,X_93,X_2)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_2,X_2,multiply(X_2,X_93,X_2)))),bind(Y,$fot(multiply(X_2,multiply(X_2,X_2,X_93),X_2)))]]) ).
cnf(refute_0_346,plain,
multiply(X_2,multiply(X_2,X_2,X_93),X_2) = multiply(X_2,X_2,multiply(X_2,X_93,X_2)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_2,multiply(X_2,X_93,X_2)),multiply(X_2,multiply(X_2,X_2,X_93),X_2)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
( multiply(X_2,multiply(X_2,X_2,X_93),X_2) != multiply(X_2,X_2,multiply(X_2,X_93,X_2))
| multiply(X_2,multiply(X_2,X_2,X_93),X_2) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_2,multiply(X_2,X_93,X_2)) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,multiply(X_2,X_2,X_93),X_2),multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)) ),[0],$fot(multiply(X_2,X_2,multiply(X_2,X_93,X_2)))]]) ).
cnf(refute_0_348,plain,
( multiply(X_2,multiply(X_2,X_2,X_93),X_2) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_2,multiply(X_2,X_93,X_2)) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_2,X_2,X_93),X_2),multiply(X_2,X_2,multiply(X_2,X_93,X_2))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(X_2,X_2,multiply(X_2,X_93,X_2)) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_2,X_2,X_93),X_2),multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)) )],[refute_0_343,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(X_3,X_3,multiply(X_3,X_3,X_4)) = multiply(X_3,X_4,X_3),
inference(subst,[],[refute_0_177:[bind(X_2,$fot(X_3))]]) ).
cnf(refute_0_351,plain,
multiply(X_3,X_3,X_4) = multiply(X_3,X_4,X_3),
inference(subst,[],[refute_0_271:[bind(X_4,$fot(X_3)),bind(X_6,$fot(X_4))]]) ).
cnf(refute_0_352,plain,
( multiply(X_3,X_3,X_4) != multiply(X_3,X_4,X_3)
| multiply(X_3,X_3,multiply(X_3,X_3,X_4)) != multiply(X_3,X_4,X_3)
| multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,X_3,multiply(X_3,X_3,X_4)),multiply(X_3,X_4,X_3)) ),[0,2],$fot(multiply(X_3,X_4,X_3))]]) ).
cnf(refute_0_353,plain,
( multiply(X_3,X_3,multiply(X_3,X_3,X_4)) != multiply(X_3,X_4,X_3)
| multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,X_4),multiply(X_3,X_4,X_3)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,multiply(X_3,X_3,X_4)),multiply(X_3,X_4,X_3)) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_2,X_2,multiply(X_2,X_93,X_2)) = multiply(X_2,X_93,X_2),
inference(subst,[],[refute_0_354:[bind(X_3,$fot(X_2)),bind(X_4,$fot(X_93))]]) ).
cnf(refute_0_356,plain,
( multiply(X_2,X_2,multiply(X_2,X_93,X_2)) != multiply(X_2,X_93,X_2)
| multiply(X_2,X_2,multiply(X_2,X_93,X_2)) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_93,X_2) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_2,multiply(X_2,X_93,X_2)),multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)) ),[0],$fot(multiply(X_2,X_93,X_2))]]) ).
cnf(refute_0_357,plain,
( multiply(X_2,X_2,multiply(X_2,X_93,X_2)) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_93,X_2) = multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_2,multiply(X_2,X_93,X_2)),multiply(X_2,X_93,X_2)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)) = X_2,
inference(subst,[],[refute_0_334:[bind(X_3,$fot(multiply(X_2,X_2,X_93)))]]) ).
cnf(refute_0_359,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2),
inference(subst,[],[refute_0_172:[bind(X_4,$fot(multiply(X_2,X_2,X_3)))]]) ).
cnf(refute_0_360,plain,
multiply(X_4,X_3,multiply(X_4,X_3,X_4)) = multiply(X_3,X_4,X_4),
inference(subst,[],[refute_0_177:[bind(X_2,$fot(X_4))]]) ).
cnf(refute_0_361,plain,
multiply(X_4,X_4,X_3) = multiply(X_4,X_3,X_4),
inference(subst,[],[refute_0_271:[bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_362,plain,
( multiply(X_4,X_4,X_3) != multiply(X_4,X_3,X_4)
| multiply(X_4,X_3,X_4) = multiply(X_4,X_4,X_3) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_4,X_4,X_3))),bind(Y,$fot(multiply(X_4,X_3,X_4)))]]) ).
cnf(refute_0_363,plain,
multiply(X_4,X_3,X_4) = multiply(X_4,X_4,X_3),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_3),multiply(X_4,X_3,X_4)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( multiply(X_4,X_3,X_4) != multiply(X_4,X_4,X_3)
| multiply(X_4,X_3,multiply(X_4,X_3,X_4)) != multiply(X_3,X_4,X_4)
| multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,multiply(X_4,X_3,X_4)),multiply(X_3,X_4,X_4)) ),[0,2],$fot(multiply(X_4,X_4,X_3))]]) ).
cnf(refute_0_365,plain,
( multiply(X_4,X_3,multiply(X_4,X_3,X_4)) != multiply(X_3,X_4,X_4)
| multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_4),multiply(X_4,X_4,X_3)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,multiply(X_4,X_3,X_4)),multiply(X_3,X_4,X_4)) )],[refute_0_360,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_2,X_3,multiply(X_2,X_2,X_3)) = multiply(X_3,X_2,X_2),
inference(subst,[],[refute_0_366:[bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_368,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)
| multiply(X_2,X_3,multiply(X_2,X_2,X_3)) != multiply(X_3,X_2,X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)) ),[1,1,1,0],$fot(multiply(X_3,X_2,X_2))]]) ).
cnf(refute_0_369,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_2,X_3)),multiply(X_3,X_2,X_2)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_359,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) = B,
inference(subst,[],[single_axiom:[bind(D,$fot(inverse(C)))]]) ).
cnf(refute_0_372,plain,
multiply(G,F,E) = multiply(inverse(C),multiply(G,F,E),C),
inference(subst,[],[refute_0_43:[bind(X_35,$fot(C)),bind(X_39,$fot(multiply(G,F,E)))]]) ).
cnf(refute_0_373,plain,
( multiply(G,F,E) != multiply(inverse(C),multiply(G,F,E),C)
| multiply(inverse(C),multiply(G,F,E),C) = multiply(G,F,E) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(G,F,E))),bind(Y,$fot(multiply(inverse(C),multiply(G,F,E),C)))]]) ).
cnf(refute_0_374,plain,
multiply(inverse(C),multiply(G,F,E),C) = multiply(G,F,E),
inference(resolve,[$cnf( $equal(multiply(G,F,E),multiply(inverse(C),multiply(G,F,E),C)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( multiply(inverse(C),multiply(G,F,E),C) != multiply(G,F,E)
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)),B) ),[0,2],$fot(multiply(G,F,E))]]) ).
cnf(refute_0_376,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(G,F,E),C),multiply(G,F,E)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)),B) )],[refute_0_371,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(C,inverse(C),G) = G,
inference(subst,[],[refute_0_161:[bind(A,$fot(C)),bind(B,$fot(G))]]) ).
cnf(refute_0_379,plain,
multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)),
introduced(tautology,[refl,[$fot(multiply(E,F,multiply(C,inverse(C),G)))]]) ).
cnf(refute_0_380,plain,
( multiply(C,inverse(C),G) != G
| multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,multiply(C,inverse(C),G))
| multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) ),[1,2],$fot(G)]]) ).
cnf(refute_0_381,plain,
( multiply(C,inverse(C),G) != G
| multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
inference(resolve,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G),
inference(resolve,[$cnf( $equal(multiply(C,inverse(C),G),G) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(C,inverse(C),E) = E,
inference(subst,[],[refute_0_161:[bind(A,$fot(C)),bind(B,$fot(E))]]) ).
cnf(refute_0_384,plain,
multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),
introduced(tautology,[refl,[$fot(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))]]) ).
cnf(refute_0_385,plain,
( multiply(C,inverse(C),E) != E
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) ),[1,0],$fot(E)]]) ).
cnf(refute_0_386,plain,
( multiply(C,inverse(C),E) != E
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(C),E),E) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,G)
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,multiply(C,inverse(C),G))
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))),bind(Y,$fot(multiply(E,F,multiply(C,inverse(C),G)))),bind(Z,$fot(multiply(E,F,G)))]]) ).
cnf(refute_0_389,plain,
( multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,G)
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G),
inference(resolve,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,G)) )],[refute_0_382,refute_0_389]) ).
cnf(refute_0_391,plain,
inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))))]]) ).
cnf(refute_0_392,plain,
( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))
| multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,G)
| inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))) ),[1,0],$fot(multiply(E,F,G))]]) ).
cnf(refute_0_393,plain,
( multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,G)
| inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)),
inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(E,F,G)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))]]) ).
cnf(refute_0_396,plain,
( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(E,F,G))
| multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
| multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) ),[1,1],$fot(inverse(multiply(E,F,G)))]]) ).
cnf(refute_0_397,plain,
( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(E,F,G))
| multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(E,F,G))) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))]]) ).
cnf(refute_0_400,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_401,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))),bind(Y,$fot(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))),bind(Z,$fot(multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))))]]) ).
cnf(refute_0_404,plain,
( multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))) )],[refute_0_398,refute_0_404]) ).
cnf(refute_0_406,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
| multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),B) ),[0],$fot(multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)))]]) ).
cnf(refute_0_407,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != B
| multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),B) )],[refute_0_377,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) = X_6,
inference(subst,[],[refute_0_408:[bind(B,$fot(X_6)),bind(E,$fot(X_3)),bind(F,$fot(X_2)),bind(G,$fot(X_2))]]) ).
cnf(refute_0_410,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2))]]) ).
cnf(refute_0_411,plain,
( multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
| multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) != X_6
| multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_412,plain,
( multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) != X_6
| multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_6) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
| multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) != multiply(X_3,X_6,X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,X_6),multiply(X_3,X_6,X_2)) ),[0],$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2))]]) ).
cnf(refute_0_415,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,X_6,X_2)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_370,refute_0_415]) ).
cnf(refute_0_417,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,X_6,X_2)
| multiply(X_3,X_6,X_2) = multiply(X_2,X_3,X_6) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_2,X_3,X_6))),bind(Y,$fot(multiply(X_3,X_6,X_2)))]]) ).
cnf(refute_0_418,plain,
multiply(X_3,X_6,X_2) = multiply(X_2,X_3,X_6),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,X_6,X_2)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) = multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)),
inference(subst,[],[refute_0_418:[bind(X_3,$fot(multiply(X_2,X_2,X_93))),bind(X_6,$fot(multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)))]]) ).
cnf(refute_0_420,plain,
( multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)) != X_2
| multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) != multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2))
| multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) = X_2 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2))),bind(Y,$fot(multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_421,plain,
( multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)) != X_2
| multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2),multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) = X_2,
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2)),X_2) )],[refute_0_358,refute_0_421]) ).
cnf(refute_0_423,plain,
( multiply(X_2,X_93,X_2) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2) != X_2
| multiply(X_2,X_93,X_2) = X_2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_93,X_2),X_2) ),[0],$fot(multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2))]]) ).
cnf(refute_0_424,plain,
( multiply(X_2,X_93,X_2) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_93,X_2) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2),X_2) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(X_2,X_2,multiply(X_2,X_93,X_2)) != multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)
| multiply(X_2,X_93,X_2) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_93,X_2),multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)) )],[refute_0_357,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_2,X_93,X_2) = X_2,
inference(resolve,[$cnf( $equal(multiply(X_2,X_2,multiply(X_2,X_93,X_2)),multiply(multiply(X_2,X_2,X_93),multiply(inverse(multiply(X_2,X_2,X_93)),X_2,X_2),X_2)) )],[refute_0_349,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(X_91,X_92,X_91) = X_91,
inference(subst,[],[refute_0_426:[bind(X_2,$fot(X_91)),bind(X_93,$fot(X_92))]]) ).
cnf(refute_0_428,plain,
( multiply(X_2,X_3,X_2) != multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)
| multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2) = multiply(X_2,X_3,X_2) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_2,X_3,X_2))),bind(Y,$fot(multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)))]]) ).
cnf(refute_0_429,plain,
multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2) = multiply(X_2,X_3,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_2),multiply(X_3,multiply(inverse(X_3),X_2,X_2),X_2)) )],[refute_0_342,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) = multiply(X_91,X_92,X_91),
inference(subst,[],[refute_0_429:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92))]]) ).
cnf(refute_0_431,plain,
( multiply(X_91,X_92,X_91) != X_91
| multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) != multiply(X_91,X_92,X_91)
| multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) = X_91 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91))),bind(Y,$fot(multiply(X_91,X_92,X_91))),bind(Z,$fot(X_91))]]) ).
cnf(refute_0_432,plain,
( multiply(X_91,X_92,X_91) != X_91
| multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) = X_91 ),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91),multiply(X_91,X_92,X_91)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) = X_91,
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,X_91),X_91) )],[refute_0_427,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),
introduced(tautology,[refl,[$fot(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)))]]) ).
cnf(refute_0_435,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91))
| multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_91,X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91))) ),[1,2],$fot(X_91)]]) ).
cnf(refute_0_436,plain,
( multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_91,X_92,X_91) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = multiply(X_91,X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91),X_91) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( multiply(X_91,X_92,X_91) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_91,X_92,X_91)
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = X_91 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)))),bind(Y,$fot(multiply(X_91,X_92,X_91))),bind(Z,$fot(X_91))]]) ).
cnf(refute_0_439,plain,
( multiply(X_91,X_92,X_91) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = X_91 ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_91,X_92,X_91)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) = X_91,
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,X_91),X_91) )],[refute_0_427,refute_0_439]) ).
cnf(refute_0_441,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != X_91
| multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_92,X_91,X_91)
| X_91 = multiply(X_92,X_91,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_92,X_91,X_91)) ),[0],$fot(X_91)]]) ).
cnf(refute_0_442,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)) != multiply(X_92,X_91,X_91)
| X_91 = multiply(X_92,X_91,X_91) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),X_91) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
X_91 = multiply(X_92,X_91,X_91),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(inverse(X_92),X_91,X_91),X_91)),multiply(X_92,X_91,X_91)) )],[refute_0_338,refute_0_442]) ).
cnf(refute_0_444,plain,
( X_91 != multiply(X_92,X_91,X_91)
| multiply(X_92,X_91,X_91) = X_91 ),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_91)),bind(Y,$fot(multiply(X_92,X_91,X_91)))]]) ).
cnf(refute_0_445,plain,
multiply(X_92,X_91,X_91) = X_91,
inference(resolve,[$cnf( $equal(X_91,multiply(X_92,X_91,X_91)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(X_91,X_92,X_92) = X_92,
inference(subst,[],[refute_0_445:[bind(X_91,$fot(X_92)),bind(X_92,$fot(X_91))]]) ).
cnf(refute_0_447,plain,
multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2),
inference(subst,[],[refute_0_177:[bind(X_4,$fot(multiply(X_3,inverse(X_2),X_3)))]]) ).
cnf(refute_0_448,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) != multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)
| multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != X_3
| multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))),multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)) ),[0,2],$fot(X_3)]]) ).
cnf(refute_0_449,plain,
( multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) != multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)
| multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),X_3) )],[refute_0_318,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))),multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)) )],[refute_0_447,refute_0_449]) ).
cnf(refute_0_451,plain,
( multiply(X_2,X_3,X_3) != multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)
| multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) = multiply(X_2,X_3,X_3) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_2,X_3,X_3))),bind(Y,$fot(multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)))]]) ).
cnf(refute_0_452,plain,
multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) = multiply(X_2,X_3,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_3),multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) = multiply(X_91,X_92,X_92),
inference(subst,[],[refute_0_452:[bind(X_2,$fot(X_91)),bind(X_3,$fot(X_92))]]) ).
cnf(refute_0_454,plain,
( multiply(X_91,X_92,X_92) != X_92
| multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) != multiply(X_91,X_92,X_92)
| multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) = X_92 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91))),bind(Y,$fot(multiply(X_91,X_92,X_92))),bind(Z,$fot(X_92))]]) ).
cnf(refute_0_455,plain,
( multiply(X_91,X_92,X_92) != X_92
| multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) = X_92 ),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91),multiply(X_91,X_92,X_92)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) = X_92,
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,X_92),X_92) )],[refute_0_446,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),
introduced(tautology,[refl,[$fot(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)))]]) ).
cnf(refute_0_458,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91))
| multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_91,X_92,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91))) ),[1,2],$fot(X_92)]]) ).
cnf(refute_0_459,plain,
( multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_91,X_92,X_92) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = multiply(X_91,X_92,X_92),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91),X_92) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( multiply(X_91,X_92,X_92) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_91,X_92,X_92)
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = X_92 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)))),bind(Y,$fot(multiply(X_91,X_92,X_92))),bind(Z,$fot(X_92))]]) ).
cnf(refute_0_462,plain,
( multiply(X_91,X_92,X_92) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = X_92 ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_91,X_92,X_92)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) = X_92,
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,X_92),X_92) )],[refute_0_446,refute_0_462]) ).
cnf(refute_0_464,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != X_92
| multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_92,X_92,X_91)
| X_92 = multiply(X_92,X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_92,X_92,X_91)) ),[0],$fot(X_92)]]) ).
cnf(refute_0_465,plain,
( multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)) != multiply(X_92,X_92,X_91)
| X_92 = multiply(X_92,X_92,X_91) ),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),X_92) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
X_92 = multiply(X_92,X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92,multiply(X_92,multiply(X_92,inverse(X_91),X_92),X_91)),multiply(X_92,X_92,X_91)) )],[refute_0_322,refute_0_465]) ).
cnf(refute_0_467,plain,
( X_92 != multiply(X_92,X_92,X_91)
| multiply(X_92,X_92,X_91) = X_92 ),
inference(subst,[],[refute_0_46:[bind(X,$fot(X_92)),bind(Y,$fot(multiply(X_92,X_92,X_91)))]]) ).
cnf(refute_0_468,plain,
multiply(X_92,X_92,X_91) = X_92,
inference(resolve,[$cnf( $equal(X_92,multiply(X_92,X_92,X_91)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(a,a,inverse(b)) = a,
inference(subst,[],[refute_0_468:[bind(X_91,$fot(inverse(b))),bind(X_92,$fot(a))]]) ).
cnf(refute_0_470,plain,
( a != a
| multiply(a,a,inverse(b)) != a
| multiply(a,a,inverse(b)) = a ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,a,inverse(b)),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_471,plain,
( a != a
| multiply(a,a,inverse(b)) = a ),
inference(resolve,[$cnf( $equal(multiply(a,a,inverse(b)),a) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
a != a,
inference(resolve,[$cnf( $equal(multiply(a,a,inverse(b)),a) )],[refute_0_471,refute_0_277]) ).
cnf(refute_0_473,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_474,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_473,refute_0_472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO071-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 18:56:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.07/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.27
% 1.07/1.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.16/1.35
%------------------------------------------------------------------------------