TSTP Solution File: BOO067-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 23:46:02 EDT 2022
% Result : Unsatisfiable 3.23s 3.40s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 139
% Number of leaves : 206
% Syntax : Number of clauses : 805 ( 406 unt; 0 nHn; 374 RR)
% Number of literals : 1385 (1384 equ; 584 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 : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 2976 ( 41 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_1,negated_conjecture,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ).
cnf(refute_0_0,plain,
multiply(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)))),bind(B,$fot(multiply(X_8,multiply(X_11,X_13,X_9),X_7)))]]) ).
cnf(refute_0_1,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_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),
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,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) != multiply(X_2,X_3,X_6)
| multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
introduced(tautology,[equality,[$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_4,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( $equal(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),multiply(X_2,X_3,X_6)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) = multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),
inference(subst,[],[refute_0_5:[bind(C,$fot(X_7)),bind(D,$fot(X_8)),bind(E,$fot(X_9)),bind(F,$fot(X_13)),bind(G,$fot(X_11)),bind(X_2,$fot(multiply(X_7,X_8,X_9))),bind(X_3,$fot(X_13)),bind(X_4,$fot(X_14)),bind(X_6,$fot(multiply(X_7,X_8,X_11)))]]) ).
cnf(refute_0_7,plain,
( multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) != multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9))
| multiply(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) ),[0,0],$fot(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)))]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),inverse(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))),multiply(X_8,multiply(X_11,X_13,X_9),X_7)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) = B,
inference(subst,[],[single_axiom:[bind(E,$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_11,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,$fot(X_6))]]) ).
cnf(refute_0_12,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) != B
| multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)) != X_1
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$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_13,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( $equal(multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),X_1) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)),B) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)) = B,
inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(C))),bind(X_2,$fot(multiply(X_0,inverse(X_0),X_1))),bind(X_3,$fot(C)),bind(X_4,$fot(multiply(X_42,multiply(X_45,X_44,X_43),X_41))),bind(X_5,$fot(inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))))),bind(X_6,$fot(multiply(X_39,inverse(X_39),inverse(C))))]]) ).
cnf(refute_0_16,plain,
multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) = multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)),
inference(subst,[],[refute_0_14:[bind(A,$fot(C)),bind(B,$fot(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))),bind(C,$fot(multiply(X_0,inverse(X_0),X_1))),bind(D,$fot(C)),bind(X_0,$fot(X_39)),bind(X_1,$fot(inverse(C))),bind(X_2,$fot(X_41)),bind(X_3,$fot(X_42)),bind(X_4,$fot(X_43)),bind(X_5,$fot(X_44)),bind(X_6,$fot(X_45))]]) ).
cnf(refute_0_17,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) != multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) ),[0,1,0],$fot(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_18,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_39,inverse(X_39),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)) = inverse(C),
inference(subst,[],[single_axiom:[bind(A,$fot(X_39)),bind(B,$fot(inverse(C))),bind(C,$fot(X_41)),bind(D,$fot(X_42)),bind(E,$fot(X_43)),bind(F,$fot(X_44)),bind(G,$fot(X_45))]]) ).
cnf(refute_0_21,plain,
multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)),
introduced(tautology,[refl,[$fot(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_22,plain,
( multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)) != multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))
| multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)) != inverse(C)
| multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_23,plain,
( multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)) != inverse(C)
| multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),inverse(C)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),
introduced(tautology,[refl,[$fot(inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_26,plain,
( inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) != inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))
| multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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( $equal(inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))) ),[1,0],$fot(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_27,plain,
( multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1)),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)))]]) ).
cnf(refute_0_30,plain,
( inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) ),[1,1],$fot(inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_31,plain,
( inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) ),[0],$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_34,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_39,inverse(X_39),inverse(C)),inverse(multiply(multiply(X_41,X_42,X_43),X_44,multiply(X_41,X_42,X_45))),multiply(X_42,multiply(X_45,X_44,X_43),X_41)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) )],[refute_0_19,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = B,
inference(subst,[],[refute_0_35:[bind(X_0,$fot(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)))),bind(X_1,$fot(multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_37,plain,
multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)) = multiply(X_49,inverse(X_49),X_50),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_46)),bind(B,$fot(multiply(X_49,inverse(X_49),X_50))),bind(C,$fot(X_46)),bind(X_0,$fot(X_49)),bind(X_1,$fot(X_50))]]) ).
cnf(refute_0_38,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != B
| multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)) != multiply(X_49,inverse(X_49),X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),B) ),[0,1,0,2],$fot(multiply(X_49,inverse(X_49),X_50))]]) ).
cnf(refute_0_39,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),multiply(X_49,inverse(X_49),X_50)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),B) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_46),X_50,X_46),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)))),bind(B,$fot(multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)) != multiply(X_49,inverse(X_49),X_50)
| multiply(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_46),X_50,X_46)
| multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_46),X_50,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_46),X_50,X_46)) ),[0,0],$fot(multiply(X_49,inverse(X_49),X_50))]]) ).
cnf(refute_0_43,plain,
( multiply(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_46),X_50,X_46)
| multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_46),X_50,X_46) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),multiply(X_49,inverse(X_49),X_50)) )],[refute_0_37,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_46),X_50,X_46),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_46),X_50,X_46)) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = X_50,
inference(subst,[],[refute_0_35:[bind(A,$fot(X_49)),bind(B,$fot(X_50))]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != X_50
| multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_46),X_50,X_46)
| X_50 = multiply(inverse(X_46),X_50,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_46),X_50,X_46)) ),[0],$fot(X_50)]]) ).
cnf(refute_0_47,plain,
( multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_46),X_50,X_46)
| X_50 = multiply(inverse(X_46),X_50,X_46) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),X_50) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
X_50 = multiply(inverse(X_46),X_50,X_46),
inference(resolve,[$cnf( $equal(multiply(multiply(X_49,inverse(X_49),X_50),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_46),X_50,X_46)) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_50,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_51,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( X_50 != multiply(inverse(X_46),X_50,X_46)
| multiply(inverse(X_46),X_50,X_46) = X_50 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_50)),bind(Y,$fot(multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_53,plain,
multiply(inverse(X_46),X_50,X_46) = X_50,
inference(resolve,[$cnf( $equal(X_50,multiply(inverse(X_46),X_50,X_46)) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) = multiply(inverse(X_46),X_50,X_46),
inference(subst,[],[refute_0_53:[bind(X_46,$fot(C)),bind(X_50,$fot(multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_55,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_56,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_51,refute_0_55]) ).
cnf(refute_0_57,plain,
( multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) != multiply(inverse(X_46),X_50,X_46)
| multiply(inverse(X_46),X_50,X_46) != X_50
| multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) = X_50 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C))),bind(Y,$fot(multiply(inverse(X_46),X_50,X_46))),bind(Z,$fot(X_50))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(X_46),X_50,X_46) != X_50
| multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) = X_50 ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C),multiply(inverse(X_46),X_50,X_46)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) = X_50,
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),X_50,X_46),X_50) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)))]]) ).
cnf(refute_0_61,plain,
( multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) != X_50
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C))) ),[1,2],$fot(X_50)]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C) != X_50
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C),X_50) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),B) ),[0],$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50))]]) ).
cnf(refute_0_65,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(C),multiply(inverse(X_46),X_50,X_46),C)),B) )],[refute_0_40,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_14))]]) ).
cnf(refute_0_68,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_69,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( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_5,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2),
inference(subst,[],[refute_0_70:[bind(X_3,$fot(inverse(X_2)))]]) ).
cnf(refute_0_72,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_5:[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_73,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_74,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46))),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = B,
inference(subst,[],[refute_0_75:[bind(A,$fot(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)))),bind(X_14,$fot(multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_77,plain,
( multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46))),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != B
| multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)) != multiply(X_49,inverse(X_49),X_50)
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46))),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),B) ),[0,1,1,0],$fot(multiply(X_49,inverse(X_49),X_50))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46))),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != B
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46)),multiply(X_49,inverse(X_49),X_50)) )],[refute_0_37,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)),inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(inverse(X_46),X_50,X_46))),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),B) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)))]]) ).
cnf(refute_0_81,plain,
( multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) != multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))
| multiply(inverse(X_46),X_50,X_46) != X_50
| multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))) ),[1,2],$fot(X_50)]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(X_46),X_50,X_46) != X_50
| multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),X_50,X_46),X_50) )],[refute_0_53,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),
inference(subst,[],[refute_0_53:[bind(X_46,$fot(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50)))),bind(X_50,$fot(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))))]]) ).
cnf(refute_0_85,plain,
( multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) != multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))))),bind(Y,$fot(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)))),bind(Z,$fot(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)))]]) ).
cnf(refute_0_86,plain,
( multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)) != multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) = multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != B
| multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)
| multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),B) ),[0],$fot(multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50))]]) ).
cnf(refute_0_89,plain,
( multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))) != B
| multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),X_50) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),multiply(B,inverse(multiply(X_49,inverse(X_49),X_50)),multiply(inverse(X_46),X_50,X_46)),multiply(X_46,inverse(X_46),multiply(X_49,inverse(X_49),X_50))),B) )],[refute_0_79,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4) = X_6,
inference(subst,[],[refute_0_90:[bind(B,$fot(X_6)),bind(X_49,$fot(X_2)),bind(X_50,$fot(X_4))]]) ).
cnf(refute_0_92,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_93,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( $equal(multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_6) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)) )],[refute_0_71,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) = multiply(X_6,inverse(X_2),X_2),
inference(subst,[],[refute_0_53:[bind(X_46,$fot(X_2)),bind(X_50,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).
cnf(refute_0_96,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4)),X_4),X_2),
inference(subst,[],[refute_0_70:[bind(X_3,$fot(inverse(multiply(X_54,inverse(X_54),X_4))))]]) ).
cnf(refute_0_97,plain,
multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4) = X_2,
inference(subst,[],[refute_0_90:[bind(B,$fot(X_2)),bind(X_49,$fot(X_54)),bind(X_50,$fot(X_4))]]) ).
cnf(refute_0_98,plain,
( multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4) != X_2
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4)),X_4),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4)),X_4),X_2)) ),[1,1,1,0],$fot(X_2)]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4)),X_4),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4),X_2) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_4)),X_4),X_2)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
inverse(multiply(X_54,inverse(X_54),X_46)) = multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46),
inference(subst,[],[refute_0_48:[bind(X_50,$fot(inverse(multiply(X_54,inverse(X_54),X_46))))]]) ).
cnf(refute_0_102,plain,
multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46) = inverse(X_46),
inference(subst,[],[refute_0_90:[bind(B,$fot(inverse(X_46))),bind(X_49,$fot(X_54)),bind(X_50,$fot(X_46))]]) ).
cnf(refute_0_103,plain,
( inverse(multiply(X_54,inverse(X_54),X_46)) != multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46)
| multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46) != inverse(X_46)
| inverse(multiply(X_54,inverse(X_54),X_46)) = inverse(X_46) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_54,inverse(X_54),X_46)),inverse(X_46)) ),[0],$fot(multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46))]]) ).
cnf(refute_0_104,plain,
( inverse(multiply(X_54,inverse(X_54),X_46)) != multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46)
| inverse(multiply(X_54,inverse(X_54),X_46)) = inverse(X_46) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46),inverse(X_46)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
inverse(multiply(X_54,inverse(X_54),X_46)) = inverse(X_46),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(X_54),X_46)),multiply(inverse(X_46),inverse(multiply(X_54,inverse(X_54),X_46)),X_46)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
inverse(multiply(X_54,inverse(X_54),X_4)) = inverse(X_4),
inference(subst,[],[refute_0_105:[bind(X_46,$fot(X_4))]]) ).
cnf(refute_0_107,plain,
multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) = multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14),
introduced(tautology,[refl,[$fot(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14))]]) ).
cnf(refute_0_108,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) != multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)
| multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14),multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_109,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14),multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(X_54),X_4)),inverse(X_4)) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) = inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)))]]) ).
cnf(refute_0_112,plain,
( inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) != inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14))
| multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
| inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14))) ),[1,0],$fot(multiply(X_2,inverse(X_4),X_14))]]) ).
cnf(refute_0_113,plain,
( multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
| inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14),multiply(X_2,inverse(X_4),X_14)) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),
introduced(tautology,[refl,[$fot(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14))]]) ).
cnf(refute_0_116,plain,
( inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14) != multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14)
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14)) ),[1,1],$fot(inverse(multiply(X_2,inverse(X_4),X_14)))]]) ).
cnf(refute_0_117,plain,
( inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
| multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),inverse(multiply(X_2,inverse(X_4),X_14))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2))]]) ).
cnf(refute_0_120,plain,
( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),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_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),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( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)) ),[1,1],$fot(multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14))]]) ).
cnf(refute_0_121,plain,
( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),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_54,inverse(X_54),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( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2))]]) ).
cnf(refute_0_124,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_125,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(X_54),X_4)),inverse(X_4)) )],[refute_0_106,refute_0_125]) ).
cnf(refute_0_127,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2))),bind(Y,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2))),bind(Z,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)))]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),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_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),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( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_122,refute_0_128]) ).
cnf(refute_0_130,plain,
( multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[0],$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2))]]) ).
cnf(refute_0_131,plain,
( multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),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_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).
cnf(refute_0_133,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),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( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_134,plain,
( inverse(multiply(X_54,inverse(X_54),X_4)) != inverse(X_4)
| multiply(inverse(multiply(X_54,inverse(X_54),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( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(X_54),X_4)),inverse(X_4)) )],[refute_0_106,refute_0_134]) ).
cnf(refute_0_136,plain,
( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
introduced(tautology,[equality,[$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_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).
cnf(refute_0_137,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_54,inverse(X_54),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( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
| multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_131,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_54,inverse(X_54),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_54,inverse(X_54),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_100,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),
inference(subst,[],[refute_0_139:[bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_141,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_56:[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,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) != multiply(X_6,inverse(X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_95,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(X_6,inverse(X_2),X_2)
| multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = multiply(inverse(X_2),X_6,X_2) ),
introduced(tautology,[equality,[$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_145,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( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(X_2),X_6,X_2) = X_6,
inference(subst,[],[refute_0_53:[bind(X_46,$fot(X_2)),bind(X_50,$fot(X_6))]]) ).
cnf(refute_0_147,plain,
( multiply(X_6,inverse(X_2),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(inverse(X_2),X_6,X_2) != X_6
| multiply(X_6,inverse(X_2),X_2) = X_6 ),
introduced(tautology,[equality,[$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_148,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( $equal(multiply(inverse(X_2),X_6,X_2),X_6) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
| multiply(X_6,inverse(X_2),X_2) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_2),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(X_6,inverse(X_2),X_2) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_94,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiply(A,inverse(A),B),inverse(X_50),X_50) = multiply(A,inverse(A),B),
inference(subst,[],[refute_0_150:[bind(X_2,$fot(X_50)),bind(X_6,$fot(multiply(A,inverse(A),B)))]]) ).
cnf(refute_0_152,plain,
inverse(multiply(X_49,inverse(X_49),X_50)) = inverse(X_50),
inference(subst,[],[refute_0_105:[bind(X_46,$fot(X_50)),bind(X_54,$fot(X_49))]]) ).
cnf(refute_0_153,plain,
inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) = inverse(multiply(X_49,inverse(X_49),X_50)),
inference(subst,[],[refute_0_105:[bind(X_46,$fot(multiply(X_49,inverse(X_49),X_50))),bind(X_54,$fot(C))]]) ).
cnf(refute_0_154,plain,
( inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) != inverse(multiply(X_49,inverse(X_49),X_50))
| inverse(multiply(X_49,inverse(X_49),X_50)) != inverse(X_50)
| inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) = inverse(X_50) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))))),bind(Y,$fot(inverse(multiply(X_49,inverse(X_49),X_50)))),bind(Z,$fot(inverse(X_50)))]]) ).
cnf(refute_0_155,plain,
( inverse(multiply(X_49,inverse(X_49),X_50)) != inverse(X_50)
| inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) = inverse(X_50) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),inverse(multiply(X_49,inverse(X_49),X_50))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) = inverse(X_50),
inference(resolve,[$cnf( $equal(inverse(multiply(X_49,inverse(X_49),X_50)),inverse(X_50)) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50))]]) ).
cnf(refute_0_158,plain,
( inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) != inverse(X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(multiply(A,inverse(A),B),inverse(X_50),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50)) ),[1,1],$fot(inverse(X_50))]]) ).
cnf(refute_0_159,plain,
( inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))) != inverse(X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(multiply(A,inverse(A),B),inverse(X_50),X_50) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(multiply(A,inverse(A),B),inverse(X_50),X_50),
inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),inverse(X_50)) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(multiply(A,inverse(A),B),inverse(X_50),X_50) != multiply(A,inverse(A),B)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) != multiply(multiply(A,inverse(A),B),inverse(X_50),X_50)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(A,inverse(A),B) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50))),bind(Y,$fot(multiply(multiply(A,inverse(A),B),inverse(X_50),X_50))),bind(Z,$fot(multiply(A,inverse(A),B)))]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(A,inverse(A),B),inverse(X_50),X_50) != multiply(A,inverse(A),B)
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(A,inverse(A),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),multiply(multiply(A,inverse(A),B),inverse(X_50),X_50)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) = multiply(A,inverse(A),B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(X_50),X_50),multiply(A,inverse(A),B)) )],[refute_0_151,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) != multiply(A,inverse(A),B)
| multiply(A,inverse(A),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),B) ),[0],$fot(multiply(A,inverse(A),B))]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50) != B
| multiply(A,inverse(A),B) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),multiply(A,inverse(A),B)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(A,inverse(A),B) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_49,inverse(X_49),X_50))),X_50),B) )],[refute_0_66,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
introduced(tautology,[refl,[$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_168,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_169,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))
| multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ),
introduced(tautology,[equality,[$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_172,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),
inference(subst,[],[refute_0_173:[bind(B,$fot(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9))))]]) ).
cnf(refute_0_175,plain,
( multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9))
| multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) ),[0],$fot(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)))]]) ).
cnf(refute_0_176,plain,
( multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) )],[refute_0_9,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_2,X_3,X_6),
inference(subst,[],[refute_0_173:[bind(B,$fot(multiply(X_2,X_3,X_6)))]]) ).
cnf(refute_0_179,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_180,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( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_2,X_3,X_6)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_5,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) = multiply(X_2,X_3,X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_3,X_6))),bind(Y,$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)))]]) ).
cnf(refute_0_183,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) = multiply(X_2,X_3,X_6),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) = multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)),
inference(subst,[],[refute_0_183:[bind(X_2,$fot(multiply(X_7,X_8,X_9))),bind(X_3,$fot(X_13)),bind(X_4,$fot(X_14)),bind(X_6,$fot(multiply(X_7,X_8,X_11)))]]) ).
cnf(refute_0_185,plain,
( multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) != multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))
| multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) ),[0],$fot(multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)))]]) ).
cnf(refute_0_186,plain,
( multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)) != multiply(X_8,multiply(X_11,X_13,X_9),X_7)
| multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7) ),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(multiply(X_7,X_8,X_9),X_13,multiply(X_7,X_8,X_11)) = multiply(X_8,multiply(X_11,X_13,X_9),X_7),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(multiply(X_7,X_8,X_11),inverse(multiply(multiply(X_7,X_8,X_9),X_13,X_14)),X_14),multiply(X_7,X_8,X_9)),multiply(X_8,multiply(X_11,X_13,X_9),X_7)) )],[refute_0_177,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(e,multiply(c,b,a),d),
inference(subst,[],[refute_0_187:[bind(X_11,$fot(c)),bind(X_13,$fot(b)),bind(X_7,$fot(d)),bind(X_8,$fot(e)),bind(X_9,$fot(a))]]) ).
cnf(refute_0_189,plain,
( multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c))
| multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(e,multiply(c,b,a),d)
| multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(d,e,a),b,multiply(d,e,c)),multiply(e,multiply(c,b,a),d)) ),[1],$fot(multiply(d,e,multiply(a,b,c)))]]) ).
cnf(refute_0_190,plain,
( multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c))
| multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(d,e,a),b,multiply(d,e,c)),multiply(e,multiply(c,b,a),d)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c)),
inference(resolve,[$cnf( $equal(multiply(multiply(d,e,a),b,multiply(d,e,c)),multiply(d,e,multiply(a,b,c))) )],[refute_0_190,prove_tba_axioms_1]) ).
cnf(refute_0_192,plain,
multiply(X_4,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_3,X_4)),X_4),X_4),
inference(subst,[],[refute_0_181:[bind(X_2,$fot(X_4))]]) ).
cnf(refute_0_193,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_181:[bind(X_2,$fot(X_4)),bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_194,plain,
multiply(X_4,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),X_4),
inference(subst,[],[refute_0_181:[bind(X_2,$fot(X_4)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_195,plain,
multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(subst,[],[refute_0_70:[bind(X_6,$fot(inverse(X_4)))]]) ).
cnf(refute_0_196,plain,
inverse(multiply(X_2,X_3,X_4)) = multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),
inference(subst,[],[refute_0_48:[bind(X_46,$fot(X_4)),bind(X_50,$fot(inverse(multiply(X_2,X_3,X_4))))]]) ).
cnf(refute_0_197,plain,
( inverse(multiply(X_2,X_3,X_4)) != multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4)
| multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4) = inverse(multiply(X_2,X_3,X_4)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(inverse(multiply(X_2,X_3,X_4)))),bind(Y,$fot(multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4)))]]) ).
cnf(refute_0_198,plain,
multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4) = inverse(multiply(X_2,X_3,X_4)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,X_3,X_4)),multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) != multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4) != inverse(multiply(X_2,X_3,X_4))
| multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2),multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[1,1],$fot(inverse(multiply(X_2,X_3,X_4)))]]) ).
cnf(refute_0_200,plain,
( multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) != multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),inverse(multiply(X_2,X_3,X_4))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2),multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_195,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_2,X_3,inverse(X_4)),
inference(subst,[],[refute_0_183:[bind(X_4,$fot(X_14)),bind(X_6,$fot(inverse(X_4)))]]) ).
cnf(refute_0_203,plain,
( multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) != multiply(X_2,X_3,inverse(X_4))
| multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) ),[0],$fot(multiply(X_2,X_3,inverse(X_4)))]]) ).
cnf(refute_0_204,plain,
( multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2),multiply(X_2,X_3,inverse(X_4))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(inverse(X_4),inverse(multiply(X_2,X_3,X_14)),X_14),X_2),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(X_4,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),
inference(subst,[],[refute_0_205:[bind(X_2,$fot(X_4))]]) ).
cnf(refute_0_207,plain,
( multiply(X_4,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)
| multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4) = multiply(X_4,X_3,inverse(X_4)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_3,inverse(X_4)))),bind(Y,$fot(multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)))]]) ).
cnf(refute_0_208,plain,
multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4) = multiply(X_4,X_3,inverse(X_4)),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4) != multiply(X_4,X_3,inverse(X_4))
| multiply(X_4,X_3,X_3) != multiply(X_3,multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)
| multiply(X_4,X_3,X_3) = multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,X_3),multiply(X_3,multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)) ),[1,1],$fot(multiply(X_4,X_3,inverse(X_4)))]]) ).
cnf(refute_0_210,plain,
( multiply(X_4,X_3,X_3) != multiply(X_3,multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)
| multiply(X_4,X_3,X_3) = multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),multiply(X_4,X_3,inverse(X_4))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(X_4,X_3,X_3) = multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_3),multiply(X_3,multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)) )],[refute_0_194,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = multiply(inverse(inverse(X_72)),multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72),
inference(subst,[],[refute_0_211:[bind(X_3,$fot(inverse(inverse(X_72)))),bind(X_4,$fot(X_72))]]) ).
cnf(refute_0_213,plain,
multiply(X_72,inverse(inverse(X_72)),inverse(X_72)) = X_72,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(inverse(X_72))),bind(X_6,$fot(X_72))]]) ).
cnf(refute_0_214,plain,
( multiply(X_72,inverse(inverse(X_72)),inverse(X_72)) != X_72
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != multiply(inverse(inverse(X_72)),multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72)
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = multiply(inverse(inverse(X_72)),X_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),multiply(inverse(inverse(X_72)),multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72)) ),[1,1],$fot(X_72)]]) ).
cnf(refute_0_215,plain,
( multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != multiply(inverse(inverse(X_72)),multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72)
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = multiply(inverse(inverse(X_72)),X_72,X_72) ),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = multiply(inverse(inverse(X_72)),X_72,X_72),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),multiply(inverse(inverse(X_72)),multiply(X_72,inverse(inverse(X_72)),inverse(X_72)),X_72)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(subst,[],[refute_0_14:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_218,plain,
inverse(inverse(B)) = multiply(inverse(B),inverse(inverse(B)),B),
inference(subst,[],[refute_0_48:[bind(X_46,$fot(B)),bind(X_50,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_219,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_51:[bind(X,$fot(inverse(inverse(B)))),bind(Y,$fot(multiply(inverse(B),inverse(inverse(B)),B)))]]) ).
cnf(refute_0_220,plain,
multiply(inverse(B),inverse(inverse(B)),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),multiply(inverse(B),inverse(inverse(B)),B)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
( multiply(inverse(B),inverse(inverse(B)),B) != inverse(inverse(B))
| multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$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_222,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( $equal(multiply(inverse(B),inverse(inverse(B)),B),inverse(inverse(B))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_217,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(X_0,inverse(X_0),X_1) = X_1,
inference(subst,[],[refute_0_166:[bind(A,$fot(X_0)),bind(B,$fot(X_1))]]) ).
cnf(refute_0_225,plain,
multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,multiply(X_0,inverse(X_0),X_1)),
introduced(tautology,[refl,[$fot(multiply(C,D,multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_226,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_227,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( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(C,D,multiply(X_0,inverse(X_0),X_1)) = multiply(C,D,X_1),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0),X_1),X_1) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),
introduced(tautology,[refl,[$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_230,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_231,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( $equal(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,X_1)) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),
introduced(tautology,[refl,[$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_234,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_235,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( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) = inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$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_238,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_239,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( $equal(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$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_242,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_243,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_166,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(subst,[],[refute_0_56:[bind(X,$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_246,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_240,refute_0_246]) ).
cnf(refute_0_248,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$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_249,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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_14,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = inverse(inverse(B)),
inference(subst,[],[refute_0_250:[bind(B,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_252,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,[$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_253,plain,
( inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))) != inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$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_254,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( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1)))) )],[refute_0_236,refute_0_254]) ).
cnf(refute_0_256,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) != inverse(inverse(B))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)) ),
inference(subst,[],[refute_0_56:[bind(X,$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_257,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( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)),inverse(inverse(B))) )],[refute_0_251,refute_0_257]) ).
cnf(refute_0_259,plain,
( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != inverse(inverse(B))
| inverse(inverse(B)) = B ),
introduced(tautology,[equality,[$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_260,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( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),inverse(inverse(B))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(inverse(B)) = B,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_223,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(inverse(X_72)) = X_72,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_72))]]) ).
cnf(refute_0_263,plain,
multiply(X_62,inverse(X_64),inverse(X_64)) = multiply(inverse(X_64),inverse(multiply(X_62,inverse(X_64),X_64)),X_62),
inference(subst,[],[refute_0_205:[bind(X_2,$fot(X_62)),bind(X_3,$fot(inverse(X_64))),bind(X_4,$fot(X_64))]]) ).
cnf(refute_0_264,plain,
multiply(X_62,inverse(X_64),X_64) = X_62,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(X_64)),bind(X_6,$fot(X_62))]]) ).
cnf(refute_0_265,plain,
( multiply(X_62,inverse(X_64),X_64) != X_62
| multiply(X_62,inverse(X_64),inverse(X_64)) != multiply(inverse(X_64),inverse(multiply(X_62,inverse(X_64),X_64)),X_62)
| multiply(X_62,inverse(X_64),inverse(X_64)) = multiply(inverse(X_64),inverse(X_62),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,inverse(X_64),inverse(X_64)),multiply(inverse(X_64),inverse(multiply(X_62,inverse(X_64),X_64)),X_62)) ),[1,1,0],$fot(X_62)]]) ).
cnf(refute_0_266,plain,
( multiply(X_62,inverse(X_64),inverse(X_64)) != multiply(inverse(X_64),inverse(multiply(X_62,inverse(X_64),X_64)),X_62)
| multiply(X_62,inverse(X_64),inverse(X_64)) = multiply(inverse(X_64),inverse(X_62),X_62) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(X_64),X_64),X_62) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(X_62,inverse(X_64),inverse(X_64)) = multiply(inverse(X_64),inverse(X_62),X_62),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(X_64),inverse(X_64)),multiply(inverse(X_64),inverse(multiply(X_62,inverse(X_64),X_64)),X_62)) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(inverse(X_64),inverse(X_62),X_62) = inverse(X_64),
inference(subst,[],[refute_0_150:[bind(X_2,$fot(X_62)),bind(X_6,$fot(inverse(X_64)))]]) ).
cnf(refute_0_269,plain,
( multiply(X_62,inverse(X_64),inverse(X_64)) != multiply(inverse(X_64),inverse(X_62),X_62)
| multiply(inverse(X_64),inverse(X_62),X_62) != inverse(X_64)
| multiply(X_62,inverse(X_64),inverse(X_64)) = inverse(X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_62,inverse(X_64),inverse(X_64)),inverse(X_64)) ),[0],$fot(multiply(inverse(X_64),inverse(X_62),X_62))]]) ).
cnf(refute_0_270,plain,
( multiply(X_62,inverse(X_64),inverse(X_64)) != multiply(inverse(X_64),inverse(X_62),X_62)
| multiply(X_62,inverse(X_64),inverse(X_64)) = inverse(X_64) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),inverse(X_62),X_62),inverse(X_64)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(X_62,inverse(X_64),inverse(X_64)) = inverse(X_64),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(X_64),inverse(X_64)),multiply(inverse(X_64),inverse(X_62),X_62)) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = inverse(inverse(X_72)),
inference(subst,[],[refute_0_271:[bind(X_62,$fot(X_72)),bind(X_64,$fot(inverse(X_72)))]]) ).
cnf(refute_0_273,plain,
( inverse(inverse(X_72)) != X_72
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != inverse(inverse(X_72))
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = X_72 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))))),bind(Y,$fot(inverse(inverse(X_72)))),bind(Z,$fot(X_72))]]) ).
cnf(refute_0_274,plain,
( inverse(inverse(X_72)) != X_72
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = X_72 ),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),inverse(inverse(X_72))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) = X_72,
inference(resolve,[$cnf( $equal(inverse(inverse(X_72)),X_72) )],[refute_0_262,refute_0_274]) ).
cnf(refute_0_276,plain,
( multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != X_72
| multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != multiply(inverse(inverse(X_72)),X_72,X_72)
| X_72 = multiply(inverse(inverse(X_72)),X_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),multiply(inverse(inverse(X_72)),X_72,X_72)) ),[0],$fot(X_72)]]) ).
cnf(refute_0_277,plain,
( multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != multiply(inverse(inverse(X_72)),X_72,X_72)
| X_72 = multiply(inverse(inverse(X_72)),X_72,X_72) ),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),X_72) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X_72,X_72,inverse(inverse(X_72))) = multiply(X_72,X_72,inverse(inverse(X_72))),
introduced(tautology,[refl,[$fot(multiply(X_72,X_72,inverse(inverse(X_72))))]]) ).
cnf(refute_0_279,plain,
( inverse(inverse(X_72)) != X_72
| multiply(X_72,X_72,inverse(inverse(X_72))) != multiply(X_72,X_72,inverse(inverse(X_72)))
| multiply(X_72,X_72,inverse(inverse(X_72))) = multiply(X_72,X_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,X_72,inverse(inverse(X_72))),multiply(X_72,X_72,inverse(inverse(X_72)))) ),[1,2],$fot(X_72)]]) ).
cnf(refute_0_280,plain,
( inverse(inverse(X_72)) != X_72
| multiply(X_72,X_72,inverse(inverse(X_72))) = multiply(X_72,X_72,X_72) ),
inference(resolve,[$cnf( $equal(multiply(X_72,X_72,inverse(inverse(X_72))),multiply(X_72,X_72,inverse(inverse(X_72)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_72,X_72,inverse(inverse(X_72))) = multiply(X_72,X_72,X_72),
inference(resolve,[$cnf( $equal(inverse(inverse(X_72)),X_72) )],[refute_0_262,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_2,X_3,inverse(X_66)) = multiply(X_3,multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),X_2),
inference(subst,[],[refute_0_181:[bind(X_4,$fot(inverse(X_66))),bind(X_6,$fot(inverse(X_66)))]]) ).
cnf(refute_0_283,plain,
multiply(inverse(X_64),X_63,inverse(X_64)) = multiply(X_63,inverse(multiply(inverse(X_64),X_63,X_64)),inverse(X_64)),
inference(subst,[],[refute_0_205:[bind(X_2,$fot(inverse(X_64))),bind(X_3,$fot(X_63)),bind(X_4,$fot(X_64))]]) ).
cnf(refute_0_284,plain,
X_63 = multiply(inverse(X_64),X_63,X_64),
inference(subst,[],[refute_0_48:[bind(X_46,$fot(X_64)),bind(X_50,$fot(X_63))]]) ).
cnf(refute_0_285,plain,
( X_63 != multiply(inverse(X_64),X_63,X_64)
| multiply(inverse(X_64),X_63,X_64) = X_63 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_63)),bind(Y,$fot(multiply(inverse(X_64),X_63,X_64)))]]) ).
cnf(refute_0_286,plain,
multiply(inverse(X_64),X_63,X_64) = X_63,
inference(resolve,[$cnf( $equal(X_63,multiply(inverse(X_64),X_63,X_64)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
( multiply(inverse(X_64),X_63,X_64) != X_63
| multiply(inverse(X_64),X_63,inverse(X_64)) != multiply(X_63,inverse(multiply(inverse(X_64),X_63,X_64)),inverse(X_64))
| multiply(inverse(X_64),X_63,inverse(X_64)) = multiply(X_63,inverse(X_63),inverse(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_64),X_63,inverse(X_64)),multiply(X_63,inverse(multiply(inverse(X_64),X_63,X_64)),inverse(X_64))) ),[1,1,0],$fot(X_63)]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(X_64),X_63,inverse(X_64)) != multiply(X_63,inverse(multiply(inverse(X_64),X_63,X_64)),inverse(X_64))
| multiply(inverse(X_64),X_63,inverse(X_64)) = multiply(X_63,inverse(X_63),inverse(X_64)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),X_63,X_64),X_63) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(inverse(X_64),X_63,inverse(X_64)) = multiply(X_63,inverse(X_63),inverse(X_64)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),X_63,inverse(X_64)),multiply(X_63,inverse(multiply(inverse(X_64),X_63,X_64)),inverse(X_64))) )],[refute_0_283,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(X_63,inverse(X_63),inverse(X_64)) = inverse(X_64),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_63)),bind(B,$fot(inverse(X_64)))]]) ).
cnf(refute_0_291,plain,
( multiply(X_63,inverse(X_63),inverse(X_64)) != inverse(X_64)
| multiply(inverse(X_64),X_63,inverse(X_64)) != multiply(X_63,inverse(X_63),inverse(X_64))
| multiply(inverse(X_64),X_63,inverse(X_64)) = inverse(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_64),X_63,inverse(X_64)),multiply(X_63,inverse(X_63),inverse(X_64))) ),[1],$fot(inverse(X_64))]]) ).
cnf(refute_0_292,plain,
( multiply(inverse(X_64),X_63,inverse(X_64)) != multiply(X_63,inverse(X_63),inverse(X_64))
| multiply(inverse(X_64),X_63,inverse(X_64)) = inverse(X_64) ),
inference(resolve,[$cnf( $equal(multiply(X_63,inverse(X_63),inverse(X_64)),inverse(X_64)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(inverse(X_64),X_63,inverse(X_64)) = inverse(X_64),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),X_63,inverse(X_64)),multiply(X_63,inverse(X_63),inverse(X_64))) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)) = inverse(X_66),
inference(subst,[],[refute_0_293:[bind(X_63,$fot(inverse(multiply(X_2,X_3,inverse(X_66))))),bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_295,plain,
( multiply(X_2,X_3,inverse(X_66)) != multiply(X_3,multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),X_2)
| multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)) != inverse(X_66)
| multiply(X_2,X_3,inverse(X_66)) = multiply(X_3,inverse(X_66),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(X_66)),multiply(X_3,multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),X_2)) ),[1,1],$fot(inverse(X_66))]]) ).
cnf(refute_0_296,plain,
( multiply(X_2,X_3,inverse(X_66)) != multiply(X_3,multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),X_2)
| multiply(X_2,X_3,inverse(X_66)) = multiply(X_3,inverse(X_66),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),inverse(X_66)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_2,X_3,inverse(X_66)) = multiply(X_3,inverse(X_66),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_66)),multiply(X_3,multiply(inverse(X_66),inverse(multiply(X_2,X_3,inverse(X_66))),inverse(X_66)),X_2)) )],[refute_0_282,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiply(X_2,X_3,inverse(X_66)) != multiply(X_3,inverse(X_66),X_2)
| multiply(X_3,inverse(X_66),X_2) = multiply(X_2,X_3,inverse(X_66)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_3,inverse(X_66)))),bind(Y,$fot(multiply(X_3,inverse(X_66),X_2)))]]) ).
cnf(refute_0_299,plain,
multiply(X_3,inverse(X_66),X_2) = multiply(X_2,X_3,inverse(X_66)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_66)),multiply(X_3,inverse(X_66),X_2)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(X_72,inverse(inverse(X_72)),X_72) = multiply(X_72,X_72,inverse(inverse(X_72))),
inference(subst,[],[refute_0_299:[bind(X_2,$fot(X_72)),bind(X_3,$fot(X_72)),bind(X_66,$fot(inverse(X_72)))]]) ).
cnf(refute_0_301,plain,
multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),multiply(X_6,inverse(multiply(X_2,inverse(X_68),inverse(X_68))),inverse(X_68)),X_2),
inference(subst,[],[refute_0_181:[bind(X_3,$fot(inverse(X_68))),bind(X_4,$fot(inverse(X_68)))]]) ).
cnf(refute_0_302,plain,
multiply(X_2,inverse(X_68),inverse(X_68)) = inverse(X_68),
inference(subst,[],[refute_0_271:[bind(X_62,$fot(X_2)),bind(X_64,$fot(X_68))]]) ).
cnf(refute_0_303,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),multiply(X_6,inverse(multiply(X_2,inverse(X_68),inverse(X_68))),inverse(X_68)),X_2)
| multiply(X_2,inverse(X_68),inverse(X_68)) != inverse(X_68)
| multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),multiply(X_6,inverse(multiply(X_2,inverse(X_68),inverse(X_68))),inverse(X_68)),X_2)) ),[1,1,1,0],$fot(inverse(X_68))]]) ).
cnf(refute_0_304,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),multiply(X_6,inverse(multiply(X_2,inverse(X_68),inverse(X_68))),inverse(X_68)),X_2)
| multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),inverse(X_68)),inverse(X_68)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),multiply(X_6,inverse(multiply(X_2,inverse(X_68),inverse(X_68))),inverse(X_68)),X_2)) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(X_6,inverse(inverse(X_68)),inverse(X_68)) = X_6,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(inverse(X_68)))]]) ).
cnf(refute_0_307,plain,
multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) = multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2),
introduced(tautology,[refl,[$fot(multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2))]]) ).
cnf(refute_0_308,plain,
( multiply(X_6,inverse(inverse(X_68)),inverse(X_68)) != X_6
| multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) != multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)
| multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) = multiply(inverse(X_68),X_6,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2),multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_309,plain,
( multiply(X_6,inverse(inverse(X_68)),inverse(X_68)) != X_6
| multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) = multiply(inverse(X_68),X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2),multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) = multiply(inverse(X_68),X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_6) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)
| multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2) != multiply(inverse(X_68),X_6,X_2)
| multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),X_6,X_2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),X_6,X_2)) ),[0],$fot(multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2))]]) ).
cnf(refute_0_312,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)
| multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2),multiply(inverse(X_68),X_6,X_2)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(X_2,inverse(X_68),X_6) = multiply(inverse(X_68),X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),multiply(X_6,inverse(inverse(X_68)),inverse(X_68)),X_2)) )],[refute_0_305,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),X_6,X_2)
| multiply(inverse(X_68),X_6,X_2) = multiply(X_2,inverse(X_68),X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,inverse(X_68),X_6))),bind(Y,$fot(multiply(inverse(X_68),X_6,X_2)))]]) ).
cnf(refute_0_315,plain,
multiply(inverse(X_68),X_6,X_2) = multiply(X_2,inverse(X_68),X_6),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),X_6,X_2)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,inverse(inverse(X_72)),X_72),
inference(subst,[],[refute_0_315:[bind(X_2,$fot(X_72)),bind(X_6,$fot(X_72)),bind(X_68,$fot(inverse(X_72)))]]) ).
cnf(refute_0_317,plain,
( multiply(X_72,inverse(inverse(X_72)),X_72) != multiply(X_72,X_72,inverse(inverse(X_72)))
| multiply(inverse(inverse(X_72)),X_72,X_72) != multiply(X_72,inverse(inverse(X_72)),X_72)
| multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,inverse(inverse(X_72))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(inverse(X_72)),X_72,X_72))),bind(Y,$fot(multiply(X_72,inverse(inverse(X_72)),X_72))),bind(Z,$fot(multiply(X_72,X_72,inverse(inverse(X_72)))))]]) ).
cnf(refute_0_318,plain,
( multiply(X_72,inverse(inverse(X_72)),X_72) != multiply(X_72,X_72,inverse(inverse(X_72)))
| multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,inverse(inverse(X_72))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_72)),X_72,X_72),multiply(X_72,inverse(inverse(X_72)),X_72)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,inverse(inverse(X_72))),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),X_72),multiply(X_72,X_72,inverse(inverse(X_72)))) )],[refute_0_300,refute_0_318]) ).
cnf(refute_0_320,plain,
( multiply(X_72,X_72,inverse(inverse(X_72))) != multiply(X_72,X_72,X_72)
| multiply(inverse(inverse(X_72)),X_72,X_72) != multiply(X_72,X_72,inverse(inverse(X_72)))
| multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,X_72) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(inverse(X_72)),X_72,X_72))),bind(Y,$fot(multiply(X_72,X_72,inverse(inverse(X_72))))),bind(Z,$fot(multiply(X_72,X_72,X_72)))]]) ).
cnf(refute_0_321,plain,
( multiply(X_72,X_72,inverse(inverse(X_72))) != multiply(X_72,X_72,X_72)
| multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,X_72) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_72)),X_72,X_72),multiply(X_72,X_72,inverse(inverse(X_72)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(inverse(inverse(X_72)),X_72,X_72) = multiply(X_72,X_72,X_72),
inference(resolve,[$cnf( $equal(multiply(X_72,X_72,inverse(inverse(X_72))),multiply(X_72,X_72,X_72)) )],[refute_0_281,refute_0_321]) ).
cnf(refute_0_323,plain,
( X_72 != multiply(inverse(inverse(X_72)),X_72,X_72)
| multiply(inverse(inverse(X_72)),X_72,X_72) != multiply(X_72,X_72,X_72)
| X_72 = multiply(X_72,X_72,X_72) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_72,multiply(X_72,X_72,X_72)) ),[0],$fot(multiply(inverse(inverse(X_72)),X_72,X_72))]]) ).
cnf(refute_0_324,plain,
( X_72 != multiply(inverse(inverse(X_72)),X_72,X_72)
| X_72 = multiply(X_72,X_72,X_72) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_72)),X_72,X_72),multiply(X_72,X_72,X_72)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))) != multiply(inverse(inverse(X_72)),X_72,X_72)
| X_72 = multiply(X_72,X_72,X_72) ),
inference(resolve,[$cnf( $equal(X_72,multiply(inverse(inverse(X_72)),X_72,X_72)) )],[refute_0_277,refute_0_324]) ).
cnf(refute_0_326,plain,
X_72 = multiply(X_72,X_72,X_72),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(inverse(X_72)),inverse(inverse(X_72))),multiply(inverse(inverse(X_72)),X_72,X_72)) )],[refute_0_216,refute_0_325]) ).
cnf(refute_0_327,plain,
X_4 = multiply(X_4,X_4,X_4),
inference(subst,[],[refute_0_326:[bind(X_72,$fot(X_4))]]) ).
cnf(refute_0_328,plain,
( X_4 != multiply(X_4,X_4,X_4)
| multiply(X_4,X_4,X_4) = X_4 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_4)),bind(Y,$fot(multiply(X_4,X_4,X_4)))]]) ).
cnf(refute_0_329,plain,
multiply(X_4,X_4,X_4) = X_4,
inference(resolve,[$cnf( $equal(X_4,multiply(X_4,X_4,X_4)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( multiply(X_4,X_4,X_4) != X_4
| multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) ),
introduced(tautology,[equality,[$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_331,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( $equal(multiply(X_4,X_4,X_4),X_4) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4)) )],[refute_0_193,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(X_6,inverse(X_4),X_4) = X_6,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(X_4))]]) ).
cnf(refute_0_334,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,[$fot(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4))]]) ).
cnf(refute_0_335,plain,
( multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)
| multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,X_6,X_4) ),
introduced(tautology,[equality,[$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_336,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( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) = multiply(X_4,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_4),X_4),X_6) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4) != multiply(X_4,X_6,X_4)
| multiply(X_4,X_4,X_6) = multiply(X_4,X_6,X_4) ),
introduced(tautology,[equality,[$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_339,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( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4),multiply(X_4,X_6,X_4)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(X_4,X_4,X_6) = multiply(X_4,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_4)) )],[refute_0_332,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(X_4,X_4,X_3) = multiply(X_4,X_3,X_4),
inference(subst,[],[refute_0_340:[bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_342,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_51:[bind(X,$fot(multiply(X_4,X_4,X_3))),bind(Y,$fot(multiply(X_4,X_3,X_4)))]]) ).
cnf(refute_0_343,plain,
multiply(X_4,X_3,X_4) = multiply(X_4,X_4,X_3),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_3),multiply(X_4,X_3,X_4)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( multiply(X_4,X_3,X_4) != multiply(X_4,X_4,X_3)
| multiply(X_4,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)
| multiply(X_4,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)) ),[1,1,1,0],$fot(multiply(X_4,X_4,X_3))]]) ).
cnf(refute_0_345,plain,
( multiply(X_4,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)
| multiply(X_4,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_4),multiply(X_4,X_4,X_3)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(X_4,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_3,X_4)),X_4),X_4)) )],[refute_0_192,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(X_3))),inverse(X_3)),X_3),
inference(subst,[],[refute_0_181:[bind(X_2,$fot(X_3)),bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_348,plain,
multiply(X_2,inverse(X_2),X_2) = X_2,
inference(subst,[],[refute_0_150:[bind(X_6,$fot(X_2))]]) ).
cnf(refute_0_349,plain,
multiply(X_2,X_2,inverse(X_2)) = multiply(X_2,inverse(X_2),X_2),
inference(subst,[],[refute_0_340:[bind(X_4,$fot(X_2)),bind(X_6,$fot(inverse(X_2)))]]) ).
cnf(refute_0_350,plain,
( multiply(X_2,X_2,inverse(X_2)) != multiply(X_2,inverse(X_2),X_2)
| multiply(X_2,inverse(X_2),X_2) = multiply(X_2,X_2,inverse(X_2)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_2,inverse(X_2)))),bind(Y,$fot(multiply(X_2,inverse(X_2),X_2)))]]) ).
cnf(refute_0_351,plain,
multiply(X_2,inverse(X_2),X_2) = multiply(X_2,X_2,inverse(X_2)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_2,inverse(X_2)),multiply(X_2,inverse(X_2),X_2)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( multiply(X_2,inverse(X_2),X_2) != X_2
| multiply(X_2,inverse(X_2),X_2) != multiply(X_2,X_2,inverse(X_2))
| multiply(X_2,X_2,inverse(X_2)) = X_2 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,inverse(X_2),X_2),X_2) ),[0],$fot(multiply(X_2,X_2,inverse(X_2)))]]) ).
cnf(refute_0_353,plain,
( multiply(X_2,inverse(X_2),X_2) != X_2
| multiply(X_2,X_2,inverse(X_2)) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_2),X_2),multiply(X_2,X_2,inverse(X_2))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_2,X_2,inverse(X_2)) = X_2,
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_2),X_2),X_2) )],[refute_0_348,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_3,X_3,inverse(X_3)) = X_3,
inference(subst,[],[refute_0_354:[bind(X_2,$fot(X_3))]]) ).
cnf(refute_0_356,plain,
( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(X_3))),inverse(X_3)),X_3)
| multiply(X_3,X_3,inverse(X_3)) != X_3
| multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(X_3))),inverse(X_3)),X_3)) ),[1,1,1,0],$fot(X_3)]]) ).
cnf(refute_0_357,plain,
( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(X_3))),inverse(X_3)),X_3)
| multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,inverse(X_3)),X_3) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(X_3))),inverse(X_3)),X_3)) )],[refute_0_347,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(X_6,inverse(X_3),inverse(X_3)) = inverse(X_3),
inference(subst,[],[refute_0_271:[bind(X_62,$fot(X_6)),bind(X_64,$fot(X_3))]]) ).
cnf(refute_0_360,plain,
multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),
introduced(tautology,[refl,[$fot(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))))]]) ).
cnf(refute_0_361,plain,
( multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) != multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3)))
| multiply(X_6,inverse(X_3),inverse(X_3)) != inverse(X_3)
| multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = multiply(X_3,X_3,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3)))) ),[1,2],$fot(inverse(X_3))]]) ).
cnf(refute_0_362,plain,
( multiply(X_6,inverse(X_3),inverse(X_3)) != inverse(X_3)
| multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = multiply(X_3,X_3,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3)))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = multiply(X_3,X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_3),inverse(X_3)),inverse(X_3)) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( multiply(X_3,X_3,inverse(X_3)) != X_3
| multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) != multiply(X_3,X_3,inverse(X_3))
| multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = X_3 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))))),bind(Y,$fot(multiply(X_3,X_3,inverse(X_3)))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_365,plain,
( multiply(X_3,X_3,inverse(X_3)) != X_3
| multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),multiply(X_3,X_3,inverse(X_3))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,inverse(X_3)),X_3) )],[refute_0_355,refute_0_365]) ).
cnf(refute_0_367,plain,
( multiply(X_4,X_4,X_6) != multiply(X_4,X_6,X_4)
| multiply(X_4,X_6,X_4) = multiply(X_4,X_4,X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_4,X_6))),bind(Y,$fot(multiply(X_4,X_6,X_4)))]]) ).
cnf(refute_0_368,plain,
multiply(X_4,X_6,X_4) = multiply(X_4,X_4,X_6),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_6),multiply(X_4,X_6,X_4)) )],[refute_0_340,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) = multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),
inference(subst,[],[refute_0_368:[bind(X_4,$fot(X_3)),bind(X_6,$fot(multiply(X_6,inverse(X_3),inverse(X_3))))]]) ).
cnf(refute_0_370,plain,
( multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) != X_3
| multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) != multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3)))
| multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) = X_3 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3))),bind(Y,$fot(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_371,plain,
( multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))) != X_3
| multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3),multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,multiply(X_6,inverse(X_3),inverse(X_3))),X_3) )],[refute_0_366,refute_0_371]) ).
cnf(refute_0_373,plain,
( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3)
| multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3) != X_3
| multiply(X_3,X_3,X_6) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_3,X_3,X_6),X_3) ),[0],$fot(multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3))]]) ).
cnf(refute_0_374,plain,
( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3)
| multiply(X_3,X_3,X_6) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3),X_3) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(X_3,X_3,X_6) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,X_6),multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_3)),X_3)) )],[refute_0_358,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(X_4,X_4,X_3) = X_4,
inference(subst,[],[refute_0_375:[bind(X_3,$fot(X_4)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_377,plain,
inverse(multiply(X_4,X_4,X_3)) = inverse(multiply(X_4,X_4,X_3)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_4,X_4,X_3)))]]) ).
cnf(refute_0_378,plain,
( inverse(multiply(X_4,X_4,X_3)) != inverse(multiply(X_4,X_4,X_3))
| multiply(X_4,X_4,X_3) != X_4
| inverse(multiply(X_4,X_4,X_3)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_4,X_4,X_3)),inverse(multiply(X_4,X_4,X_3))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_379,plain,
( multiply(X_4,X_4,X_3) != X_4
| inverse(multiply(X_4,X_4,X_3)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,X_4,X_3)),inverse(multiply(X_4,X_4,X_3))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
inverse(multiply(X_4,X_4,X_3)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_4,X_3),X_4) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),
introduced(tautology,[refl,[$fot(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4))]]) ).
cnf(refute_0_382,plain,
( inverse(multiply(X_4,X_4,X_3)) != inverse(X_4)
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) != multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4)
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_6,inverse(X_4),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4)) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_383,plain,
( inverse(multiply(X_4,X_4,X_3)) != inverse(X_4)
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_6,inverse(X_4),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_6,inverse(X_4),X_4),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,X_4,X_3)),inverse(X_4)) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) != multiply(X_6,inverse(X_4),X_4)
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = X_6 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4))),bind(Y,$fot(multiply(X_6,inverse(X_4),X_4))),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_386,plain,
( multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_6,inverse(X_4),X_4)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) = X_6,
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_4),X_4),X_6) )],[refute_0_333,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) = multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4))]]) ).
cnf(refute_0_389,plain,
( multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) != multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)
| multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) != X_6
| multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) = multiply(X_3,X_6,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_390,plain,
( multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4) != X_6
| multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) = multiply(X_3,X_6,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) = multiply(X_3,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_6) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
( multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4) != multiply(X_3,X_6,X_4)
| multiply(X_4,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)
| multiply(X_4,X_3,X_6) = multiply(X_3,X_6,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)) ),[1],$fot(multiply(X_3,X_6,X_4))]]) ).
cnf(refute_0_393,plain,
( multiply(X_4,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)
| multiply(X_4,X_3,X_6) = multiply(X_3,X_6,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4),multiply(X_3,X_6,X_4)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X_4,X_3,X_6) = multiply(X_3,X_6,X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_4,X_4,X_3)),X_4),X_4)) )],[refute_0_346,refute_0_393]) ).
cnf(refute_0_395,plain,
( multiply(X_4,X_3,X_6) != multiply(X_3,X_6,X_4)
| multiply(X_3,X_6,X_4) = multiply(X_4,X_3,X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_3,X_6))),bind(Y,$fot(multiply(X_3,X_6,X_4)))]]) ).
cnf(refute_0_396,plain,
multiply(X_3,X_6,X_4) = multiply(X_4,X_3,X_6),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_6),multiply(X_3,X_6,X_4)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(c,b,a) = multiply(a,c,b),
inference(subst,[],[refute_0_396:[bind(X_3,$fot(c)),bind(X_4,$fot(a)),bind(X_6,$fot(b))]]) ).
cnf(refute_0_398,plain,
multiply(d,e,multiply(c,b,a)) = multiply(d,e,multiply(c,b,a)),
introduced(tautology,[refl,[$fot(multiply(d,e,multiply(c,b,a)))]]) ).
cnf(refute_0_399,plain,
( multiply(c,b,a) != multiply(a,c,b)
| multiply(d,e,multiply(c,b,a)) != multiply(d,e,multiply(c,b,a))
| multiply(d,e,multiply(c,b,a)) = multiply(d,e,multiply(a,c,b)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(d,e,multiply(c,b,a)),multiply(d,e,multiply(c,b,a))) ),[1,2],$fot(multiply(a,c,b))]]) ).
cnf(refute_0_400,plain,
( multiply(c,b,a) != multiply(a,c,b)
| multiply(d,e,multiply(c,b,a)) = multiply(d,e,multiply(a,c,b)) ),
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(c,b,a)),multiply(d,e,multiply(c,b,a))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(d,e,multiply(c,b,a)) = multiply(d,e,multiply(a,c,b)),
inference(resolve,[$cnf( $equal(multiply(c,b,a),multiply(a,c,b)) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(c,b,a)),
inference(subst,[],[refute_0_396:[bind(X_3,$fot(e)),bind(X_4,$fot(d)),bind(X_6,$fot(multiply(c,b,a)))]]) ).
cnf(refute_0_403,plain,
( multiply(d,e,multiply(c,b,a)) != multiply(d,e,multiply(a,c,b))
| multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(c,b,a))
| multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(a,c,b)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(e,multiply(c,b,a),d))),bind(Y,$fot(multiply(d,e,multiply(c,b,a)))),bind(Z,$fot(multiply(d,e,multiply(a,c,b))))]]) ).
cnf(refute_0_404,plain,
( multiply(d,e,multiply(c,b,a)) != multiply(d,e,multiply(a,c,b))
| multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(a,c,b)) ),
inference(resolve,[$cnf( $equal(multiply(e,multiply(c,b,a),d),multiply(d,e,multiply(c,b,a))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(a,c,b)),
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(c,b,a)),multiply(d,e,multiply(a,c,b))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( multiply(d,e,multiply(a,c,b)) != multiply(d,e,multiply(a,b,c))
| multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,c,b))
| multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(a,b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(e,multiply(c,b,a),d),multiply(d,e,multiply(a,c,b))) ),[1],$fot(multiply(d,e,multiply(a,b,c)))]]) ).
cnf(refute_0_407,plain,
( multiply(d,e,multiply(a,c,b)) != multiply(d,e,multiply(a,b,c))
| multiply(e,multiply(c,b,a),d) = multiply(d,e,multiply(a,b,c)) ),
inference(resolve,[$cnf( $equal(multiply(e,multiply(c,b,a),d),multiply(d,e,multiply(a,c,b))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(d,e,multiply(a,c,b)) != multiply(d,e,multiply(a,b,c)),
inference(resolve,[$cnf( $equal(multiply(e,multiply(c,b,a),d),multiply(d,e,multiply(a,b,c))) )],[refute_0_407,refute_0_191]) ).
cnf(refute_0_409,plain,
multiply(X_2,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(multiply(X_2,X_4,X_4)),X_4),X_2),
inference(subst,[],[refute_0_181:[bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_410,plain,
multiply(X_3,X_3,X_4) = X_3,
inference(subst,[],[refute_0_375:[bind(X_6,$fot(X_4))]]) ).
cnf(refute_0_411,plain,
( multiply(X_4,X_3,X_4) != multiply(X_4,X_4,X_3)
| multiply(X_4,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)
| multiply(X_4,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)) ),[1,1,0],$fot(multiply(X_4,X_4,X_3))]]) ).
cnf(refute_0_412,plain,
( multiply(X_4,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)
| multiply(X_4,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_4),multiply(X_4,X_4,X_3)) )],[refute_0_343,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(X_4,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_4,X_3,X_4)),X_4)) )],[refute_0_206,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_3,inverse(X_4),X_4) = X_3,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(X_4)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_415,plain,
multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),
introduced(tautology,[refl,[$fot(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4))]]) ).
cnf(refute_0_416,plain,
( inverse(multiply(X_4,X_4,X_3)) != inverse(X_4)
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) != multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_3,inverse(X_4),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_417,plain,
( inverse(multiply(X_4,X_4,X_3)) != inverse(X_4)
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_3,inverse(X_4),X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = multiply(X_3,inverse(X_4),X_4),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,X_4,X_3)),inverse(X_4)) )],[refute_0_380,refute_0_417]) ).
cnf(refute_0_419,plain,
( multiply(X_3,inverse(X_4),X_4) != X_3
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) != multiply(X_3,inverse(X_4),X_4)
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = X_3 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4))),bind(Y,$fot(multiply(X_3,inverse(X_4),X_4))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_420,plain,
( multiply(X_3,inverse(X_4),X_4) != X_3
| multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),multiply(X_3,inverse(X_4),X_4)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_4),X_4),X_3) )],[refute_0_414,refute_0_420]) ).
cnf(refute_0_422,plain,
( multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4) != X_3
| multiply(X_4,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)
| multiply(X_4,X_3,inverse(X_4)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)) ),[1],$fot(X_3)]]) ).
cnf(refute_0_423,plain,
( multiply(X_4,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)
| multiply(X_4,X_3,inverse(X_4)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4),X_3) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(X_4,X_3,inverse(X_4)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_4,X_4,X_3)),X_4)) )],[refute_0_413,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4))]]) ).
cnf(refute_0_426,plain,
( multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) != multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)
| multiply(X_4,X_3,inverse(X_4)) != X_3
| multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = multiply(X_3,X_3,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_427,plain,
( multiply(X_4,X_3,inverse(X_4)) != X_3
| multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = multiply(X_3,X_3,X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = multiply(X_3,X_3,X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,inverse(X_4)),X_3) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( multiply(X_3,X_3,X_4) != X_3
| multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) != multiply(X_3,X_3,X_4)
| multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = X_3 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4))),bind(Y,$fot(multiply(X_3,X_3,X_4))),bind(Z,$fot(X_3))]]) ).
cnf(refute_0_430,plain,
( multiply(X_3,X_3,X_4) != X_3
| multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),multiply(X_3,X_3,X_4)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_3,X_3,X_4),X_3) )],[refute_0_410,refute_0_430]) ).
cnf(refute_0_432,plain,
( multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4) != X_3
| multiply(X_4,X_3,X_3) != multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)
| multiply(X_4,X_3,X_3) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,X_3),multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)) ),[1],$fot(X_3)]]) ).
cnf(refute_0_433,plain,
( multiply(X_4,X_3,X_3) != multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)
| multiply(X_4,X_3,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4),X_3) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(X_4,X_3,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_3),multiply(X_3,multiply(X_4,X_3,inverse(X_4)),X_4)) )],[refute_0_211,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(X_2,X_4,X_4) = X_4,
inference(subst,[],[refute_0_434:[bind(X_3,$fot(X_4)),bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_436,plain,
( multiply(X_2,X_4,X_4) != X_4
| multiply(X_2,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(multiply(X_2,X_4,X_4)),X_4),X_2)
| multiply(X_2,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_4,X_6),multiply(X_4,multiply(X_6,inverse(multiply(X_2,X_4,X_4)),X_4),X_2)) ),[1,1,1,0],$fot(X_4)]]) ).
cnf(refute_0_437,plain,
( multiply(X_2,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(multiply(X_2,X_4,X_4)),X_4),X_2)
| multiply(X_2,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_4),X_4) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(X_2,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_6),multiply(X_4,multiply(X_6,inverse(multiply(X_2,X_4,X_4)),X_4),X_2)) )],[refute_0_409,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) = multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2),
introduced(tautology,[refl,[$fot(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2))]]) ).
cnf(refute_0_440,plain,
( multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)
| multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) = multiply(X_4,X_6,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_441,plain,
( multiply(X_6,inverse(X_4),X_4) != X_6
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) = multiply(X_4,X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) = multiply(X_4,X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_4),X_4),X_6) )],[refute_0_333,refute_0_441]) ).
cnf(refute_0_443,plain,
( multiply(X_2,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)
| multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2) != multiply(X_4,X_6,X_2)
| multiply(X_2,X_4,X_6) = multiply(X_4,X_6,X_2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_4,X_6),multiply(X_4,X_6,X_2)) ),[0],$fot(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2))]]) ).
cnf(refute_0_444,plain,
( multiply(X_2,X_4,X_6) != multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)
| multiply(X_2,X_4,X_6) = multiply(X_4,X_6,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2),multiply(X_4,X_6,X_2)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(X_2,X_4,X_6) = multiply(X_4,X_6,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_6),multiply(X_4,multiply(X_6,inverse(X_4),X_4),X_2)) )],[refute_0_438,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(multiply(X_4,X_6,X_103),X_4,X_6) = multiply(X_4,X_6,multiply(X_4,X_6,X_103)),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(multiply(X_4,X_6,X_103)))]]) ).
cnf(refute_0_447,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_3,multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
inference(subst,[],[refute_0_181:[bind(X_6,$fot(inverse(multiply(X_2,X_3,X_4))))]]) ).
cnf(refute_0_448,plain,
multiply(inverse(X_66),inverse(X_66),X_6) = multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66)),
inference(subst,[],[refute_0_181:[bind(X_2,$fot(inverse(X_66))),bind(X_3,$fot(inverse(X_66)))]]) ).
cnf(refute_0_449,plain,
multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66)) = inverse(X_66),
inference(subst,[],[refute_0_293:[bind(X_63,$fot(multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4))),bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_450,plain,
( multiply(inverse(X_66),inverse(X_66),X_6) != multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66))
| multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66)) != inverse(X_66)
| multiply(inverse(X_66),inverse(X_66),X_6) = inverse(X_66) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_66),inverse(X_66),X_6),inverse(X_66)) ),[0],$fot(multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66)))]]) ).
cnf(refute_0_451,plain,
( multiply(inverse(X_66),inverse(X_66),X_6) != multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66))
| multiply(inverse(X_66),inverse(X_66),X_6) = inverse(X_66) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66)),inverse(X_66)) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(inverse(X_66),inverse(X_66),X_6) = inverse(X_66),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),inverse(X_66),X_6),multiply(inverse(X_66),multiply(X_6,inverse(multiply(inverse(X_66),inverse(X_66),X_4)),X_4),inverse(X_66))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4) = inverse(multiply(X_2,X_3,X_4)),
inference(subst,[],[refute_0_452:[bind(X_6,$fot(X_4)),bind(X_66,$fot(multiply(X_2,X_3,X_4)))]]) ).
cnf(refute_0_454,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) != multiply(X_3,multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4) != inverse(multiply(X_2,X_3,X_4))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))),multiply(X_3,multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[1,1],$fot(inverse(multiply(X_2,X_3,X_4)))]]) ).
cnf(refute_0_455,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) != multiply(X_3,multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),inverse(multiply(X_2,X_3,X_4))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))),multiply(X_3,multiply(inverse(multiply(X_2,X_3,X_4)),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_447,refute_0_455]) ).
cnf(refute_0_457,plain,
( multiply(X_2,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) = multiply(X_2,X_3,inverse(X_4)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_3,inverse(X_4)))),bind(Y,$fot(multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)))]]) ).
cnf(refute_0_458,plain,
multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) = multiply(X_2,X_3,inverse(X_4)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) )],[refute_0_205,refute_0_457]) ).
cnf(refute_0_459,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2) != multiply(X_2,X_3,inverse(X_4))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_2,X_3,inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))),multiply(X_2,X_3,inverse(X_4))) ),[0],$fot(multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2))]]) ).
cnf(refute_0_460,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_2,X_3,inverse(X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2),multiply(X_2,X_3,inverse(X_4))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))) = multiply(X_2,X_3,inverse(X_4)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_4))),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) )],[refute_0_456,refute_0_460]) ).
cnf(refute_0_462,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))))) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),
inference(subst,[],[refute_0_461:[bind(X_4,$fot(inverse(multiply(X_2,X_3,X_102))))]]) ).
cnf(refute_0_463,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))) = multiply(X_2,X_3,inverse(X_102)),
inference(subst,[],[refute_0_461:[bind(X_4,$fot(X_102))]]) ).
cnf(refute_0_464,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))) != multiply(X_2,X_3,inverse(X_102))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) ),[0,2,0],$fot(multiply(X_2,X_3,inverse(X_102)))]]) ).
cnf(refute_0_465,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))),multiply(X_2,X_3,inverse(X_102))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(multiply(X_2,X_3,X_102))))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
inverse(inverse(X_102)) = X_102,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_102))]]) ).
cnf(refute_0_468,plain,
multiply(X_2,X_3,inverse(inverse(X_102))) = multiply(X_2,X_3,inverse(inverse(X_102))),
introduced(tautology,[refl,[$fot(multiply(X_2,X_3,inverse(inverse(X_102))))]]) ).
cnf(refute_0_469,plain,
( inverse(inverse(X_102)) != X_102
| multiply(X_2,X_3,inverse(inverse(X_102))) != multiply(X_2,X_3,inverse(inverse(X_102)))
| multiply(X_2,X_3,inverse(inverse(X_102))) = multiply(X_2,X_3,X_102) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(X_102))),multiply(X_2,X_3,inverse(inverse(X_102)))) ),[1,2],$fot(X_102)]]) ).
cnf(refute_0_470,plain,
( inverse(inverse(X_102)) != X_102
| multiply(X_2,X_3,inverse(inverse(X_102))) = multiply(X_2,X_3,X_102) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(X_102))),multiply(X_2,X_3,inverse(inverse(X_102)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(X_2,X_3,inverse(inverse(X_102))) = multiply(X_2,X_3,X_102),
inference(resolve,[$cnf( $equal(inverse(inverse(X_102)),X_102) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,inverse(inverse(X_102))),
inference(subst,[],[refute_0_461:[bind(X_4,$fot(inverse(X_102)))]]) ).
cnf(refute_0_473,plain,
( multiply(X_2,X_3,inverse(inverse(X_102))) != multiply(X_2,X_3,X_102)
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) != multiply(X_2,X_3,inverse(inverse(X_102)))
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,X_102) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))))),bind(Y,$fot(multiply(X_2,X_3,inverse(inverse(X_102))))),bind(Z,$fot(multiply(X_2,X_3,X_102)))]]) ).
cnf(refute_0_474,plain,
( multiply(X_2,X_3,inverse(inverse(X_102))) != multiply(X_2,X_3,X_102)
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,X_102) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))),multiply(X_2,X_3,inverse(inverse(X_102)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) = multiply(X_2,X_3,X_102),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(X_102))),multiply(X_2,X_3,X_102)) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) != multiply(X_2,X_3,X_102)
| multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,X_102) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) ),[0],$fot(multiply(X_2,X_3,X_102))]]) ).
cnf(refute_0_477,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,X_102) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))),multiply(X_2,X_3,X_102)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
inverse(inverse(multiply(X_2,X_3,X_102))) = multiply(X_2,X_3,X_102),
inference(subst,[],[refute_0_261:[bind(B,$fot(multiply(X_2,X_3,X_102)))]]) ).
cnf(refute_0_479,plain,
multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) = multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),
introduced(tautology,[refl,[$fot(multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))))]]) ).
cnf(refute_0_480,plain,
( inverse(inverse(multiply(X_2,X_3,X_102))) != multiply(X_2,X_3,X_102)
| multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) ),[1,2],$fot(multiply(X_2,X_3,X_102))]]) ).
cnf(refute_0_481,plain,
( inverse(inverse(multiply(X_2,X_3,X_102))) != multiply(X_2,X_3,X_102)
| multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_2,X_3,X_102))),multiply(X_2,X_3,X_102)) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiply(X_2,X_3,X_102) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))) != multiply(X_2,X_3,multiply(X_2,X_3,X_102))
| multiply(X_2,X_3,X_102) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,X_102),multiply(X_2,X_3,multiply(X_2,X_3,X_102))) ),[0],$fot(multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))))]]) ).
cnf(refute_0_484,plain,
( multiply(X_2,X_3,X_102) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,X_102) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102)))),multiply(X_2,X_3,multiply(X_2,X_3,X_102))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))) != multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))
| multiply(X_2,X_3,X_102) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_102),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) )],[refute_0_477,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(X_2,X_3,X_102) = multiply(X_2,X_3,multiply(X_2,X_3,X_102)),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(multiply(X_2,X_3,inverse(X_102)))),multiply(X_2,X_3,inverse(inverse(multiply(X_2,X_3,X_102))))) )],[refute_0_466,refute_0_485]) ).
cnf(refute_0_487,plain,
multiply(X_4,X_6,X_103) = multiply(X_4,X_6,multiply(X_4,X_6,X_103)),
inference(subst,[],[refute_0_486:[bind(X_102,$fot(X_103)),bind(X_2,$fot(X_4)),bind(X_3,$fot(X_6))]]) ).
cnf(refute_0_488,plain,
( multiply(X_4,X_6,X_103) != multiply(X_4,X_6,multiply(X_4,X_6,X_103))
| multiply(X_4,X_6,multiply(X_4,X_6,X_103)) = multiply(X_4,X_6,X_103) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_6,X_103))),bind(Y,$fot(multiply(X_4,X_6,multiply(X_4,X_6,X_103))))]]) ).
cnf(refute_0_489,plain,
multiply(X_4,X_6,multiply(X_4,X_6,X_103)) = multiply(X_4,X_6,X_103),
inference(resolve,[$cnf( $equal(multiply(X_4,X_6,X_103),multiply(X_4,X_6,multiply(X_4,X_6,X_103))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( multiply(X_4,X_6,multiply(X_4,X_6,X_103)) != multiply(X_4,X_6,X_103)
| multiply(multiply(X_4,X_6,X_103),X_4,X_6) != multiply(X_4,X_6,multiply(X_4,X_6,X_103))
| multiply(multiply(X_4,X_6,X_103),X_4,X_6) = multiply(X_4,X_6,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_4,X_6,X_103),X_4,X_6),multiply(X_4,X_6,multiply(X_4,X_6,X_103))) ),[1],$fot(multiply(X_4,X_6,X_103))]]) ).
cnf(refute_0_491,plain,
( multiply(multiply(X_4,X_6,X_103),X_4,X_6) != multiply(X_4,X_6,multiply(X_4,X_6,X_103))
| multiply(multiply(X_4,X_6,X_103),X_4,X_6) = multiply(X_4,X_6,X_103) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_6,multiply(X_4,X_6,X_103)),multiply(X_4,X_6,X_103)) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(multiply(X_4,X_6,X_103),X_4,X_6) = multiply(X_4,X_6,X_103),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_6,X_103),X_4,X_6),multiply(X_4,X_6,multiply(X_4,X_6,X_103))) )],[refute_0_446,refute_0_491]) ).
cnf(refute_0_493,plain,
( multiply(X_2,X_4,X_6) != multiply(X_4,X_6,X_2)
| multiply(X_4,X_6,X_2) = multiply(X_2,X_4,X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_4,X_6))),bind(Y,$fot(multiply(X_4,X_6,X_2)))]]) ).
cnf(refute_0_494,plain,
multiply(X_4,X_6,X_2) = multiply(X_2,X_4,X_6),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_6),multiply(X_4,X_6,X_2)) )],[refute_0_445,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(multiply(X_4,X_6,X_103),X_4,X_6) = multiply(X_6,multiply(X_4,X_6,X_103),X_4),
inference(subst,[],[refute_0_494:[bind(X_2,$fot(X_6)),bind(X_4,$fot(multiply(X_4,X_6,X_103))),bind(X_6,$fot(X_4))]]) ).
cnf(refute_0_496,plain,
( multiply(multiply(X_4,X_6,X_103),X_4,X_6) != multiply(X_4,X_6,X_103)
| multiply(multiply(X_4,X_6,X_103),X_4,X_6) != multiply(X_6,multiply(X_4,X_6,X_103),X_4)
| multiply(X_6,multiply(X_4,X_6,X_103),X_4) = multiply(X_4,X_6,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_4,X_6,X_103),X_4,X_6),multiply(X_4,X_6,X_103)) ),[0],$fot(multiply(X_6,multiply(X_4,X_6,X_103),X_4))]]) ).
cnf(refute_0_497,plain,
( multiply(multiply(X_4,X_6,X_103),X_4,X_6) != multiply(X_4,X_6,X_103)
| multiply(X_6,multiply(X_4,X_6,X_103),X_4) = multiply(X_4,X_6,X_103) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_6,X_103),X_4,X_6),multiply(X_6,multiply(X_4,X_6,X_103),X_4)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiply(X_6,multiply(X_4,X_6,X_103),X_4) = multiply(X_4,X_6,X_103),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_6,X_103),X_4,X_6),multiply(X_4,X_6,X_103)) )],[refute_0_492,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(X_108,multiply(X_107,X_108,X_106),X_107) = multiply(X_107,X_108,X_106),
inference(subst,[],[refute_0_498:[bind(X_103,$fot(X_106)),bind(X_4,$fot(X_107)),bind(X_6,$fot(X_108))]]) ).
cnf(refute_0_500,plain,
multiply(X_106,X_107,X_108) = multiply(X_107,X_108,X_106),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(X_106)),bind(X_4,$fot(X_107)),bind(X_6,$fot(X_108))]]) ).
cnf(refute_0_501,plain,
( multiply(X_106,X_107,X_108) != multiply(X_107,X_108,X_106)
| multiply(X_107,X_108,X_106) = multiply(X_106,X_107,X_108) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_106,X_107,X_108))),bind(Y,$fot(multiply(X_107,X_108,X_106)))]]) ).
cnf(refute_0_502,plain,
multiply(X_107,X_108,X_106) = multiply(X_106,X_107,X_108),
inference(resolve,[$cnf( $equal(multiply(X_106,X_107,X_108),multiply(X_107,X_108,X_106)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(X_107,X_108,X_106) != multiply(X_106,X_107,X_108)
| multiply(X_108,multiply(X_107,X_108,X_106),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_106,X_107,X_108),X_107) = multiply(X_107,X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_106),X_107),multiply(X_107,X_108,X_106)) ),[0,1],$fot(multiply(X_106,X_107,X_108))]]) ).
cnf(refute_0_504,plain,
( multiply(X_108,multiply(X_107,X_108,X_106),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_106,X_107,X_108),X_107) = multiply(X_107,X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_107,X_108,X_106),multiply(X_106,X_107,X_108)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(X_108,multiply(X_106,X_107,X_108),X_107) = multiply(X_107,X_108,X_106),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_106),X_107),multiply(X_107,X_108,X_106)) )],[refute_0_499,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(multiply(X_242,inverse(X_4),inverse(X_6))))]]) ).
cnf(refute_0_507,plain,
multiply(X_107,X_108,X_106) = multiply(X_108,X_106,X_107),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(X_107)),bind(X_4,$fot(X_108)),bind(X_6,$fot(X_106))]]) ).
cnf(refute_0_508,plain,
( multiply(X_107,X_108,X_106) != multiply(X_108,X_106,X_107)
| multiply(X_108,multiply(X_107,X_108,X_106),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_108,X_106,X_107),X_107) = multiply(X_107,X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_106),X_107),multiply(X_107,X_108,X_106)) ),[0,1],$fot(multiply(X_108,X_106,X_107))]]) ).
cnf(refute_0_509,plain,
( multiply(X_108,multiply(X_107,X_108,X_106),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_108,X_106,X_107),X_107) = multiply(X_107,X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_107,X_108,X_106),multiply(X_108,X_106,X_107)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(X_108,multiply(X_108,X_106,X_107),X_107) = multiply(X_107,X_108,X_106),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_106),X_107),multiply(X_107,X_108,X_106)) )],[refute_0_499,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(X_108,multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),X_107) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))),
inference(subst,[],[refute_0_510:[bind(X_106,$fot(multiply(X_132,inverse(X_107),inverse(X_108))))]]) ).
cnf(refute_0_512,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_3))),inverse(X_3)),X_2),
inference(subst,[],[refute_0_181:[bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_513,plain,
multiply(X_2,X_4,inverse(X_4)) = multiply(X_4,inverse(multiply(X_2,X_4,X_4)),X_2),
inference(subst,[],[refute_0_205:[bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_514,plain,
( multiply(X_2,X_4,X_4) != X_4
| multiply(X_2,X_4,inverse(X_4)) != multiply(X_4,inverse(multiply(X_2,X_4,X_4)),X_2)
| multiply(X_2,X_4,inverse(X_4)) = multiply(X_4,inverse(X_4),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_4,inverse(X_4)),multiply(X_4,inverse(multiply(X_2,X_4,X_4)),X_2)) ),[1,1,0],$fot(X_4)]]) ).
cnf(refute_0_515,plain,
( multiply(X_2,X_4,inverse(X_4)) != multiply(X_4,inverse(multiply(X_2,X_4,X_4)),X_2)
| multiply(X_2,X_4,inverse(X_4)) = multiply(X_4,inverse(X_4),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_4),X_4) )],[refute_0_435,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(X_2,X_4,inverse(X_4)) = multiply(X_4,inverse(X_4),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,inverse(X_4)),multiply(X_4,inverse(multiply(X_2,X_4,X_4)),X_2)) )],[refute_0_513,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(X_4,inverse(X_4),X_2) = X_2,
inference(subst,[],[refute_0_166:[bind(A,$fot(X_4)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_518,plain,
( multiply(X_2,X_4,inverse(X_4)) != multiply(X_4,inverse(X_4),X_2)
| multiply(X_4,inverse(X_4),X_2) != X_2
| multiply(X_2,X_4,inverse(X_4)) = X_2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_4,inverse(X_4)),X_2) ),[0],$fot(multiply(X_4,inverse(X_4),X_2))]]) ).
cnf(refute_0_519,plain,
( multiply(X_2,X_4,inverse(X_4)) != multiply(X_4,inverse(X_4),X_2)
| multiply(X_2,X_4,inverse(X_4)) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(X_4),X_2),X_2) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(X_2,X_4,inverse(X_4)) = X_2,
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,inverse(X_4)),multiply(X_4,inverse(X_4),X_2)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(X_2,X_3,inverse(X_3)) = X_2,
inference(subst,[],[refute_0_520:[bind(X_4,$fot(X_3))]]) ).
cnf(refute_0_522,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_3))),inverse(X_3)),X_2)
| multiply(X_2,X_3,inverse(X_3)) != X_2
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_2),inverse(X_3)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_3))),inverse(X_3)),X_2)) ),[1,1,1,0],$fot(X_2)]]) ).
cnf(refute_0_523,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_3))),inverse(X_3)),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_2),inverse(X_3)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_3)),X_2) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_2),inverse(X_3)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_3))),inverse(X_3)),X_2)) )],[refute_0_512,refute_0_523]) ).
cnf(refute_0_525,plain,
multiply(X_107,X_108,X_132) = multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),
inference(subst,[],[refute_0_524:[bind(X_2,$fot(X_107)),bind(X_3,$fot(X_108)),bind(X_6,$fot(X_132))]]) ).
cnf(refute_0_526,plain,
( multiply(X_107,X_108,X_132) != multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107)
| multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107) = multiply(X_107,X_108,X_132) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_107,X_108,X_132))),bind(Y,$fot(multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107)))]]) ).
cnf(refute_0_527,plain,
multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107) = multiply(X_107,X_108,X_132),
inference(resolve,[$cnf( $equal(multiply(X_107,X_108,X_132),multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( multiply(X_108,multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),X_107) != multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))
| multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107) != multiply(X_107,X_108,X_132)
| multiply(X_108,multiply(X_107,X_108,X_132),X_107) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),X_107),multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))) ),[0,1],$fot(multiply(X_107,X_108,X_132))]]) ).
cnf(refute_0_529,plain,
( multiply(X_108,multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),X_107) != multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))
| multiply(X_108,multiply(X_107,X_108,X_132),X_107) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))) ),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),multiply(X_107,X_108,X_132)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(X_108,multiply(X_107,X_108,X_132),X_107) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_108,multiply(X_132,inverse(X_107),inverse(X_108)),X_107),X_107),multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))) )],[refute_0_511,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_108,multiply(X_107,X_108,X_132),X_107) = multiply(X_107,X_108,X_132),
inference(subst,[],[refute_0_498:[bind(X_103,$fot(X_132)),bind(X_4,$fot(X_107)),bind(X_6,$fot(X_108))]]) ).
cnf(refute_0_532,plain,
( multiply(X_108,multiply(X_107,X_108,X_132),X_107) != multiply(X_107,X_108,X_132)
| multiply(X_108,multiply(X_107,X_108,X_132),X_107) != multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))
| multiply(X_107,X_108,X_132) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_132),X_107),multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))) ),[0],$fot(multiply(X_107,X_108,X_132))]]) ).
cnf(refute_0_533,plain,
( multiply(X_108,multiply(X_107,X_108,X_132),X_107) != multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))
| multiply(X_107,X_108,X_132) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))) ),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_132),X_107),multiply(X_107,X_108,X_132)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(X_107,X_108,X_132) = multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108))),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_108,X_132),X_107),multiply(X_107,X_108,multiply(X_132,inverse(X_107),inverse(X_108)))) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(X_4,X_6,X_242) = multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))),
inference(subst,[],[refute_0_534:[bind(X_107,$fot(X_4)),bind(X_108,$fot(X_6)),bind(X_132,$fot(X_242))]]) ).
cnf(refute_0_536,plain,
( multiply(X_4,X_6,X_242) != multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))
| multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))) = multiply(X_4,X_6,X_242) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_6,X_242))),bind(Y,$fot(multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))))]]) ).
cnf(refute_0_537,plain,
multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))) = multiply(X_4,X_6,X_242),
inference(resolve,[$cnf( $equal(multiply(X_4,X_6,X_242),multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))) != multiply(X_4,X_6,X_242)
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_4,X_6,X_242) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))) ),[1],$fot(multiply(X_4,X_6,X_242))]]) ).
cnf(refute_0_539,plain,
( multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_4,X_6,X_242) ),
inference(resolve,[$cnf( $equal(multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6))),multiply(X_4,X_6,X_242)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_4,X_6,X_242),
inference(resolve,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_4,X_6,multiply(X_242,inverse(X_4),inverse(X_6)))) )],[refute_0_506,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) = multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2),
inference(subst,[],[refute_0_445:[bind(X_6,$fot(multiply(X_99,inverse(X_4),inverse(X_2))))]]) ).
cnf(refute_0_542,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_2))),inverse(X_2)),X_2),
inference(subst,[],[refute_0_181:[bind(X_4,$fot(inverse(X_2)))]]) ).
cnf(refute_0_543,plain,
multiply(X_2,X_3,inverse(X_2)) = X_3,
inference(subst,[],[refute_0_424:[bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_544,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_2))),inverse(X_2)),X_2)
| multiply(X_2,X_3,inverse(X_2)) != X_3
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_2)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_2))),inverse(X_2)),X_2)) ),[1,1,1,0],$fot(X_3)]]) ).
cnf(refute_0_545,plain,
( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_2))),inverse(X_2)),X_2)
| multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_2)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_2)),X_3) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(X_2)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,inverse(X_2))),inverse(X_2)),X_2)) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
multiply(X_2,X_4,X_99) = multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2),
inference(subst,[],[refute_0_546:[bind(X_3,$fot(X_4)),bind(X_6,$fot(X_99))]]) ).
cnf(refute_0_548,plain,
( multiply(X_2,X_4,X_99) != multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)
| multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2) = multiply(X_2,X_4,X_99) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_4,X_99))),bind(Y,$fot(multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)))]]) ).
cnf(refute_0_549,plain,
multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2) = multiply(X_2,X_4,X_99),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,X_99),multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) != multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)
| multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2) != multiply(X_2,X_4,X_99)
| multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) = multiply(X_2,X_4,X_99) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))),multiply(X_2,X_4,X_99)) ),[0],$fot(multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2))]]) ).
cnf(refute_0_551,plain,
( multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) != multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)
| multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) = multiply(X_2,X_4,X_99) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2),multiply(X_2,X_4,X_99)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))) = multiply(X_2,X_4,X_99),
inference(resolve,[$cnf( $equal(multiply(X_2,X_4,multiply(X_99,inverse(X_4),inverse(X_2))),multiply(X_4,multiply(X_99,inverse(X_4),inverse(X_2)),X_2)) )],[refute_0_541,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))) = multiply(X_6,X_4,X_242),
inference(subst,[],[refute_0_552:[bind(X_2,$fot(X_6)),bind(X_99,$fot(X_242))]]) ).
cnf(refute_0_554,plain,
multiply(X_97,X_98,X_99) = multiply(X_98,multiply(X_99,inverse(X_98),inverse(X_97)),X_97),
inference(subst,[],[refute_0_546:[bind(X_2,$fot(X_97)),bind(X_3,$fot(X_98)),bind(X_6,$fot(X_99))]]) ).
cnf(refute_0_555,plain,
multiply(X_99,inverse(X_98),inverse(X_97)) = multiply(inverse(X_98),inverse(X_97),X_99),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(X_99)),bind(X_4,$fot(inverse(X_98))),bind(X_6,$fot(inverse(X_97)))]]) ).
cnf(refute_0_556,plain,
( multiply(X_97,X_98,X_99) != multiply(X_98,multiply(X_99,inverse(X_98),inverse(X_97)),X_97)
| multiply(X_99,inverse(X_98),inverse(X_97)) != multiply(inverse(X_98),inverse(X_97),X_99)
| multiply(X_97,X_98,X_99) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,X_98,X_99),multiply(X_98,multiply(X_99,inverse(X_98),inverse(X_97)),X_97)) ),[1,1],$fot(multiply(inverse(X_98),inverse(X_97),X_99))]]) ).
cnf(refute_0_557,plain,
( multiply(X_97,X_98,X_99) != multiply(X_98,multiply(X_99,inverse(X_98),inverse(X_97)),X_97)
| multiply(X_97,X_98,X_99) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97) ),
inference(resolve,[$cnf( $equal(multiply(X_99,inverse(X_98),inverse(X_97)),multiply(inverse(X_98),inverse(X_97),X_99)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
multiply(X_97,X_98,X_99) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,X_99),multiply(X_98,multiply(X_99,inverse(X_98),inverse(X_97)),X_97)) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),X_97),
inference(subst,[],[refute_0_558:[bind(X_99,$fot(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))))]]) ).
cnf(refute_0_560,plain,
multiply(inverse(X_98),inverse(X_97),X_242) = multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),
inference(subst,[],[refute_0_534:[bind(X_107,$fot(inverse(X_98))),bind(X_108,$fot(inverse(X_97))),bind(X_132,$fot(X_242))]]) ).
cnf(refute_0_561,plain,
( multiply(inverse(X_98),inverse(X_97),X_242) != multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))
| multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(inverse(X_98),inverse(X_97),X_242) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(X_98),inverse(X_97),X_242))),bind(Y,$fot(multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))))]]) ).
cnf(refute_0_562,plain,
multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(inverse(X_98),inverse(X_97),X_242),
inference(resolve,[$cnf( $equal(multiply(inverse(X_98),inverse(X_97),X_242),multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),X_97)
| multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(inverse(X_98),inverse(X_97),X_242)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),X_97)) ),[1,1],$fot(multiply(inverse(X_98),inverse(X_97),X_242))]]) ).
cnf(refute_0_564,plain,
( multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(inverse(X_98),inverse(X_97),X_242)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),X_97)) )],[refute_0_559,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(X_108,multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),multiply(inverse(X_106),X_108,X_156)) = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106),
inference(subst,[],[refute_0_510:[bind(X_107,$fot(multiply(inverse(X_106),X_108,X_156)))]]) ).
cnf(refute_0_567,plain,
multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),X_97),
inference(subst,[],[refute_0_558:[bind(X_99,$fot(multiply(inverse(X_98),X_97,X_147)))]]) ).
cnf(refute_0_568,plain,
multiply(X_4,X_2,X_3) = multiply(X_2,X_3,X_4),
inference(subst,[],[refute_0_445:[bind(X_2,$fot(X_4)),bind(X_4,$fot(X_2)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_569,plain,
( multiply(X_4,X_2,X_3) != multiply(X_2,X_3,X_4)
| multiply(X_2,X_3,X_4) = multiply(X_4,X_2,X_3) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_4,X_2,X_3))),bind(Y,$fot(multiply(X_2,X_3,X_4)))]]) ).
cnf(refute_0_570,plain,
multiply(X_2,X_3,X_4) = multiply(X_4,X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_4,X_2,X_3),multiply(X_2,X_3,X_4)) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(X_2,X_3,X_4) != multiply(X_4,X_2,X_3)
| multiply(X_2,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_2,X_3)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) ),[1,1,0],$fot(multiply(X_4,X_2,X_3))]]) ).
cnf(refute_0_572,plain,
( multiply(X_2,X_3,inverse(X_4)) != multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)
| multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_2,X_3)),X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_4),multiply(X_4,X_2,X_3)) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(X_2,X_3,inverse(X_4)) = multiply(X_3,inverse(multiply(X_4,X_2,X_3)),X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_4)),multiply(X_3,inverse(multiply(X_2,X_3,X_4)),X_2)) )],[refute_0_205,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_143,multiply(X_142,X_143,X_103),X_142)),multiply(X_142,X_143,X_103)),
inference(subst,[],[refute_0_573:[bind(X_2,$fot(multiply(X_142,X_143,X_103))),bind(X_3,$fot(X_142)),bind(X_4,$fot(X_143))]]) ).
cnf(refute_0_575,plain,
multiply(X_143,multiply(X_142,X_143,X_103),X_142) = multiply(X_142,X_143,X_103),
inference(subst,[],[refute_0_498:[bind(X_4,$fot(X_142)),bind(X_6,$fot(X_143))]]) ).
cnf(refute_0_576,plain,
( multiply(X_143,multiply(X_142,X_143,X_103),X_142) != multiply(X_142,X_143,X_103)
| multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_143,multiply(X_142,X_143,X_103),X_142)),multiply(X_142,X_143,X_103))
| multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_143,multiply(X_142,X_143,X_103),X_142)),multiply(X_142,X_143,X_103))) ),[1,1,0],$fot(multiply(X_142,X_143,X_103))]]) ).
cnf(refute_0_577,plain,
( multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_143,multiply(X_142,X_143,X_103),X_142)),multiply(X_142,X_143,X_103))
| multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(X_143,multiply(X_142,X_143,X_103),X_142),multiply(X_142,X_143,X_103)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_143,multiply(X_142,X_143,X_103),X_142)),multiply(X_142,X_143,X_103))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
multiply(inverse(X_66),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_66),X_3,inverse(X_66))),inverse(X_66)),inverse(X_66)),
inference(subst,[],[refute_0_181:[bind(X_2,$fot(inverse(X_66))),bind(X_4,$fot(inverse(X_66)))]]) ).
cnf(refute_0_580,plain,
multiply(inverse(X_66),X_3,inverse(X_66)) = inverse(X_66),
inference(subst,[],[refute_0_293:[bind(X_63,$fot(X_3)),bind(X_64,$fot(X_66))]]) ).
cnf(refute_0_581,plain,
( multiply(inverse(X_66),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_66),X_3,inverse(X_66))),inverse(X_66)),inverse(X_66))
| multiply(inverse(X_66),X_3,inverse(X_66)) != inverse(X_66)
| multiply(inverse(X_66),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_66),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_66),X_3,inverse(X_66))),inverse(X_66)),inverse(X_66))) ),[1,1,1,0],$fot(inverse(X_66))]]) ).
cnf(refute_0_582,plain,
( multiply(inverse(X_66),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_66),X_3,inverse(X_66))),inverse(X_66)),inverse(X_66))
| multiply(inverse(X_66),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_3,inverse(X_66)),inverse(X_66)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(inverse(X_66),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_66),X_3,inverse(X_66))),inverse(X_66)),inverse(X_66))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
multiply(X_6,inverse(inverse(X_66)),inverse(X_66)) = X_6,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(inverse(X_66)))]]) ).
cnf(refute_0_585,plain,
multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) = multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)))]]) ).
cnf(refute_0_586,plain,
( multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) != multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))
| multiply(X_6,inverse(inverse(X_66)),inverse(X_66)) != X_6
| multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) = multiply(X_3,X_6,inverse(X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)),multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_587,plain,
( multiply(X_6,inverse(inverse(X_66)),inverse(X_66)) != X_6
| multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) = multiply(X_3,X_6,inverse(X_66)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)),multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) = multiply(X_3,X_6,inverse(X_66)),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),X_6) )],[refute_0_584,refute_0_587]) ).
cnf(refute_0_589,plain,
( multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)) != multiply(X_3,X_6,inverse(X_66))
| multiply(inverse(X_66),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))
| multiply(inverse(X_66),X_3,X_6) = multiply(X_3,X_6,inverse(X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_66),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))) ),[1],$fot(multiply(X_3,X_6,inverse(X_66)))]]) ).
cnf(refute_0_590,plain,
( multiply(inverse(X_66),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))
| multiply(inverse(X_66),X_3,X_6) = multiply(X_3,X_6,inverse(X_66)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66)),multiply(X_3,X_6,inverse(X_66))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(inverse(X_66),X_3,X_6) = multiply(X_3,X_6,inverse(X_66)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_66)),inverse(X_66)),inverse(X_66))) )],[refute_0_583,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(inverse(X_68),X_6,X_2) = multiply(X_6,X_2,inverse(X_68)),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(X_6)),bind(X_6,$fot(X_2)),bind(X_66,$fot(X_68))]]) ).
cnf(refute_0_593,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),X_6,X_2)
| multiply(inverse(X_68),X_6,X_2) != multiply(X_6,X_2,inverse(X_68))
| multiply(X_2,inverse(X_68),X_6) = multiply(X_6,X_2,inverse(X_68)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,inverse(X_68),X_6),multiply(X_6,X_2,inverse(X_68))) ),[0],$fot(multiply(inverse(X_68),X_6,X_2))]]) ).
cnf(refute_0_594,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(inverse(X_68),X_6,X_2)
| multiply(X_2,inverse(X_68),X_6) = multiply(X_6,X_2,inverse(X_68)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),X_6,X_2),multiply(X_6,X_2,inverse(X_68))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(X_2,inverse(X_68),X_6) = multiply(X_6,X_2,inverse(X_68)),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(inverse(X_68),X_6,X_2)) )],[refute_0_313,refute_0_594]) ).
cnf(refute_0_596,plain,
( multiply(X_2,inverse(X_68),X_6) != multiply(X_6,X_2,inverse(X_68))
| multiply(X_6,X_2,inverse(X_68)) = multiply(X_2,inverse(X_68),X_6) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,inverse(X_68),X_6))),bind(Y,$fot(multiply(X_6,X_2,inverse(X_68))))]]) ).
cnf(refute_0_597,plain,
multiply(X_6,X_2,inverse(X_68)) = multiply(X_2,inverse(X_68),X_6),
inference(resolve,[$cnf( $equal(multiply(X_2,inverse(X_68),X_6),multiply(X_6,X_2,inverse(X_68))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) = multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)),
inference(subst,[],[refute_0_597:[bind(X_2,$fot(X_142)),bind(X_6,$fot(multiply(X_142,X_143,X_103))),bind(X_68,$fot(X_143))]]) ).
cnf(refute_0_599,plain,
( multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103))
| multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))
| multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))) ),[0],$fot(multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)))]]) ).
cnf(refute_0_600,plain,
( multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))
| multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)),multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) = X_142,
inference(subst,[],[refute_0_150:[bind(X_2,$fot(multiply(X_142,X_143,X_103))),bind(X_6,$fot(X_142))]]) ).
cnf(refute_0_602,plain,
( multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) != multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))
| multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)) != X_142
| multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = X_142 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)),X_142) ),[0],$fot(multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)))]]) ).
cnf(refute_0_603,plain,
( multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) != multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))
| multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = X_142 ),
inference(resolve,[$cnf( $equal(multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103)),X_142) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
( multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))
| multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = X_142 ),
inference(resolve,[$cnf( $equal(multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)),multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(X_142,inverse(X_143),multiply(X_142,X_143,X_103)) = X_142,
inference(resolve,[$cnf( $equal(multiply(multiply(X_142,X_143,X_103),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_142,X_143,X_103)),multiply(X_142,X_143,X_103))) )],[refute_0_578,refute_0_604]) ).
cnf(refute_0_606,plain,
multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)) = inverse(X_98),
inference(subst,[],[refute_0_605:[bind(X_103,$fot(X_147)),bind(X_142,$fot(inverse(X_98))),bind(X_143,$fot(X_97))]]) ).
cnf(refute_0_607,plain,
( multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),X_97)
| multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)) != inverse(X_98)
| multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = multiply(X_98,inverse(X_98),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)),multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),X_97)) ),[1,1],$fot(inverse(X_98))]]) ).
cnf(refute_0_608,plain,
( multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),X_97)
| multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = multiply(X_98,inverse(X_98),X_97) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),inverse(X_98)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = multiply(X_98,inverse(X_98),X_97),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)),multiply(X_98,multiply(inverse(X_98),inverse(X_97),multiply(inverse(X_98),X_97,X_147)),X_97)) )],[refute_0_567,refute_0_608]) ).
cnf(refute_0_610,plain,
multiply(X_98,inverse(X_98),X_97) = X_97,
inference(subst,[],[refute_0_166:[bind(A,$fot(X_98)),bind(B,$fot(X_97))]]) ).
cnf(refute_0_611,plain,
( multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) != multiply(X_98,inverse(X_98),X_97)
| multiply(X_98,inverse(X_98),X_97) != X_97
| multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = X_97 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)),X_97) ),[0],$fot(multiply(X_98,inverse(X_98),X_97))]]) ).
cnf(refute_0_612,plain,
( multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) != multiply(X_98,inverse(X_98),X_97)
| multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = X_97 ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(X_98),X_97),X_97) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)) = X_97,
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(inverse(X_98),X_97,X_147)),multiply(X_98,inverse(X_98),X_97)) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)) = X_108,
inference(subst,[],[refute_0_613:[bind(X_147,$fot(X_156)),bind(X_97,$fot(X_108)),bind(X_98,$fot(X_106))]]) ).
cnf(refute_0_615,plain,
( multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)) != X_108
| multiply(X_108,multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),multiply(inverse(X_106),X_108,X_156)) != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),multiply(inverse(X_106),X_108,X_156)),multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)) ),[0,1],$fot(X_108)]]) ).
cnf(refute_0_616,plain,
( multiply(X_108,multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),multiply(inverse(X_106),X_108,X_156)) != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),X_108) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_108,X_106,multiply(inverse(X_106),X_108,X_156)),multiply(inverse(X_106),X_108,X_156)),multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)) )],[refute_0_566,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) = X_108,
inference(subst,[],[refute_0_375:[bind(X_3,$fot(X_108)),bind(X_6,$fot(multiply(inverse(X_106),X_108,X_156)))]]) ).
cnf(refute_0_619,plain,
( multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) != X_108
| multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| X_108 = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)),multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)) ),[0],$fot(X_108)]]) ).
cnf(refute_0_620,plain,
( multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| X_108 = multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)),X_108) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) = multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108),
inference(subst,[],[refute_0_494:[bind(X_2,$fot(X_106)),bind(X_4,$fot(multiply(inverse(X_106),X_108,X_156))),bind(X_6,$fot(X_108))]]) ).
cnf(refute_0_622,plain,
( X_108 != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106) != multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108)
| X_108 = multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_108,multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108)) ),[0],$fot(multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106))]]) ).
cnf(refute_0_623,plain,
( X_108 != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| X_108 = multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106),multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
( multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)) != multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)
| X_108 = multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108) ),
inference(resolve,[$cnf( $equal(X_108,multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
X_108 = multiply(X_106,multiply(inverse(X_106),X_108,X_156),X_108),
inference(resolve,[$cnf( $equal(multiply(X_108,X_108,multiply(inverse(X_106),X_108,X_156)),multiply(multiply(inverse(X_106),X_108,X_156),X_108,X_106)) )],[refute_0_617,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_177,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),multiply(X_154,X_179,inverse(inverse(X_177)))),
inference(subst,[],[refute_0_625:[bind(X_106,$fot(X_177)),bind(X_108,$fot(multiply(X_154,X_179,inverse(inverse(X_177))))),bind(X_156,$fot(X_179))]]) ).
cnf(refute_0_627,plain,
multiply(multiply(X_146,X_144,X_106),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),inverse(X_146)) = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106),
inference(subst,[],[refute_0_505:[bind(X_107,$fot(inverse(X_146))),bind(X_108,$fot(multiply(X_146,X_144,X_106)))]]) ).
cnf(refute_0_628,plain,
multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_143,multiply(X_143,X_106,X_142),X_142)),multiply(X_143,X_106,X_142)),
inference(subst,[],[refute_0_573:[bind(X_2,$fot(multiply(X_143,X_106,X_142))),bind(X_3,$fot(X_142)),bind(X_4,$fot(X_143))]]) ).
cnf(refute_0_629,plain,
multiply(X_143,multiply(X_143,X_106,X_142),X_142) = multiply(X_142,X_143,X_106),
inference(subst,[],[refute_0_510:[bind(X_107,$fot(X_142)),bind(X_108,$fot(X_143))]]) ).
cnf(refute_0_630,plain,
( multiply(X_143,multiply(X_143,X_106,X_142),X_142) != multiply(X_142,X_143,X_106)
| multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_143,multiply(X_143,X_106,X_142),X_142)),multiply(X_143,X_106,X_142))
| multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_143,multiply(X_143,X_106,X_142),X_142)),multiply(X_143,X_106,X_142))) ),[1,1,0],$fot(multiply(X_142,X_143,X_106))]]) ).
cnf(refute_0_631,plain,
( multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_143,multiply(X_143,X_106,X_142),X_142)),multiply(X_143,X_106,X_142))
| multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) ),
inference(resolve,[$cnf( $equal(multiply(X_143,multiply(X_143,X_106,X_142),X_142),multiply(X_142,X_143,X_106)) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) = multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_143,multiply(X_143,X_106,X_142),X_142)),multiply(X_143,X_106,X_142))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) = multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)),
inference(subst,[],[refute_0_597:[bind(X_2,$fot(X_142)),bind(X_6,$fot(multiply(X_143,X_106,X_142))),bind(X_68,$fot(X_143))]]) ).
cnf(refute_0_634,plain,
( multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142))
| multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))
| multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))) ),[0],$fot(multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)))]]) ).
cnf(refute_0_635,plain,
( multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))
| multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)),multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
inference(subst,[],[refute_0_14:[bind(X_2,$fot(C)),bind(X_3,$fot(D)),bind(X_5,$fot(inverse(multiply(C,D,X_4)))),bind(X_6,$fot(multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_637,plain,
multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) = multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),
inference(subst,[],[refute_0_90:[bind(B,$fot(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))),bind(X_49,$fot(multiply(C,D,X_4))),bind(X_50,$fot(multiply(C,D,multiply(X_0,inverse(X_0),X_1))))]]) ).
cnf(refute_0_638,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != B
| multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) != multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) ),[0,1,0],$fot(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))]]) ).
cnf(refute_0_639,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),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(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1))),multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),inverse(multiply(multiply(C,D,X_4),inverse(multiply(C,D,X_4)),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) = multiply(C,D,multiply(X_0,inverse(X_0),X_1)),
inference(subst,[],[refute_0_183:[bind(X_2,$fot(C)),bind(X_3,$fot(D)),bind(X_6,$fot(multiply(X_0,inverse(X_0),X_1)))]]) ).
cnf(refute_0_642,plain,
( multiply(C,D,multiply(X_0,inverse(X_0),X_1)) != multiply(C,D,X_1)
| multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) != multiply(C,D,multiply(X_0,inverse(X_0),X_1))
| multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) = multiply(C,D,X_1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),bind(Y,$fot(multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),bind(Z,$fot(multiply(C,D,X_1)))]]) ).
cnf(refute_0_643,plain,
( multiply(C,D,multiply(X_0,inverse(X_0),X_1)) != multiply(C,D,X_1)
| multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) = multiply(C,D,X_1) ),
inference(resolve,[$cnf( $equal(multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C),multiply(C,D,multiply(X_0,inverse(X_0),X_1))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) = multiply(C,D,X_1),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(X_0,inverse(X_0),X_1)),multiply(C,D,X_1)) )],[refute_0_228,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) = multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),
introduced(tautology,[refl,[$fot(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))]]) ).
cnf(refute_0_646,plain,
( multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) != multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))
| multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) != multiply(C,D,X_1)
| multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) = multiply(C,D,multiply(C,D,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) ),[1,2],$fot(multiply(C,D,X_1))]]) ).
cnf(refute_0_647,plain,
( multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C) != multiply(C,D,X_1)
| multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) = multiply(C,D,multiply(C,D,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) = multiply(C,D,multiply(C,D,X_1)),
inference(resolve,[$cnf( $equal(multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C),multiply(C,D,X_1)) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) = inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),
introduced(tautology,[refl,[$fot(inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))))]]) ).
cnf(refute_0_650,plain,
( inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) != inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))
| multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) != multiply(C,D,multiply(C,D,X_1))
| inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) = inverse(multiply(C,D,multiply(C,D,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))) ),[1,0],$fot(multiply(C,D,multiply(C,D,X_1)))]]) ).
cnf(refute_0_651,plain,
( multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)) != multiply(C,D,multiply(C,D,X_1))
| inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) = inverse(multiply(C,D,multiply(C,D,X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) = inverse(multiply(C,D,multiply(C,D,X_1))),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C)),multiply(C,D,multiply(C,D,X_1))) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_654,plain,
( inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) != inverse(multiply(C,D,multiply(C,D,X_1)))
| multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))) ),[1,1],$fot(inverse(multiply(C,D,multiply(C,D,X_1))))]]) ).
cnf(refute_0_655,plain,
( inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))) != inverse(multiply(C,D,multiply(C,D,X_1)))
| multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),inverse(multiply(C,D,multiply(C,D,X_1)))) )],[refute_0_652,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_658,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_659,plain,
( multiply(A,inverse(A),B) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_166,refute_0_659]) ).
cnf(refute_0_661,plain,
( multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)))),bind(Y,$fot(multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)))),bind(Z,$fot(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))))]]) ).
cnf(refute_0_662,plain,
( multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_656,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != B
| multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),B) ),[0],$fot(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_665,plain,
( multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)) != B
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(C,D,X_4)),X_4),C))),multiply(D,X_1,C)),B) )],[refute_0_640,refute_0_665]) ).
cnf(refute_0_667,plain,
( multiply(X_2,X_3,X_102) != multiply(X_2,X_3,multiply(X_2,X_3,X_102))
| multiply(X_2,X_3,multiply(X_2,X_3,X_102)) = multiply(X_2,X_3,X_102) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_2,X_3,X_102))),bind(Y,$fot(multiply(X_2,X_3,multiply(X_2,X_3,X_102))))]]) ).
cnf(refute_0_668,plain,
multiply(X_2,X_3,multiply(X_2,X_3,X_102)) = multiply(X_2,X_3,X_102),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_102),multiply(X_2,X_3,multiply(X_2,X_3,X_102))) )],[refute_0_486,refute_0_667]) ).
cnf(refute_0_669,plain,
multiply(C,D,multiply(C,D,X_1)) = multiply(C,D,X_1),
inference(subst,[],[refute_0_668:[bind(X_102,$fot(X_1)),bind(X_2,$fot(C)),bind(X_3,$fot(D))]]) ).
cnf(refute_0_670,plain,
inverse(multiply(C,D,multiply(C,D,X_1))) = inverse(multiply(C,D,multiply(C,D,X_1))),
introduced(tautology,[refl,[$fot(inverse(multiply(C,D,multiply(C,D,X_1))))]]) ).
cnf(refute_0_671,plain,
( inverse(multiply(C,D,multiply(C,D,X_1))) != inverse(multiply(C,D,multiply(C,D,X_1)))
| multiply(C,D,multiply(C,D,X_1)) != multiply(C,D,X_1)
| inverse(multiply(C,D,multiply(C,D,X_1))) = inverse(multiply(C,D,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(C,D,multiply(C,D,X_1))),inverse(multiply(C,D,multiply(C,D,X_1)))) ),[1,0],$fot(multiply(C,D,X_1))]]) ).
cnf(refute_0_672,plain,
( multiply(C,D,multiply(C,D,X_1)) != multiply(C,D,X_1)
| inverse(multiply(C,D,multiply(C,D,X_1))) = inverse(multiply(C,D,X_1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,D,multiply(C,D,X_1))),inverse(multiply(C,D,multiply(C,D,X_1)))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
inverse(multiply(C,D,multiply(C,D,X_1))) = inverse(multiply(C,D,X_1)),
inference(resolve,[$cnf( $equal(multiply(C,D,multiply(C,D,X_1)),multiply(C,D,X_1)) )],[refute_0_669,refute_0_672]) ).
cnf(refute_0_674,plain,
multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)))]]) ).
cnf(refute_0_675,plain,
( inverse(multiply(C,D,multiply(C,D,X_1))) != inverse(multiply(C,D,X_1))
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))) ),[1,1],$fot(inverse(multiply(C,D,X_1)))]]) ).
cnf(refute_0_676,plain,
( inverse(multiply(C,D,multiply(C,D,X_1))) != inverse(multiply(C,D,X_1))
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(C,D,multiply(C,D,X_1))),inverse(multiply(C,D,X_1))) )],[refute_0_673,refute_0_676]) ).
cnf(refute_0_678,plain,
( multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) != B
| multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C))
| multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),B) ),[0],$fot(multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)))]]) ).
cnf(refute_0_679,plain,
( multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)) != B
| multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)) = B ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(B,inverse(multiply(C,D,X_1)),multiply(D,X_1,C)) = B,
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(C,D,multiply(C,D,X_1))),multiply(D,X_1,C)),B) )],[refute_0_666,refute_0_679]) ).
cnf(refute_0_681,plain,
multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) = X_142,
inference(subst,[],[refute_0_680:[bind(B,$fot(X_142)),bind(C,$fot(X_142)),bind(D,$fot(X_143)),bind(X_1,$fot(X_106))]]) ).
cnf(refute_0_682,plain,
( multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) != multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))
| multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)) != X_142
| multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = X_142 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)),X_142) ),[0],$fot(multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)))]]) ).
cnf(refute_0_683,plain,
( multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) != multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))
| multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = X_142 ),
inference(resolve,[$cnf( $equal(multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142)),X_142) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
( multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)) != multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))
| multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = X_142 ),
inference(resolve,[$cnf( $equal(multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)),multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))) )],[refute_0_635,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(X_142,inverse(X_143),multiply(X_143,X_106,X_142)) = X_142,
inference(resolve,[$cnf( $equal(multiply(multiply(X_143,X_106,X_142),X_142,inverse(X_143)),multiply(X_142,inverse(multiply(X_142,X_143,X_106)),multiply(X_143,X_106,X_142))) )],[refute_0_632,refute_0_684]) ).
cnf(refute_0_686,plain,
multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)) = X_106,
inference(subst,[],[refute_0_685:[bind(X_106,$fot(X_144)),bind(X_142,$fot(X_106)),bind(X_143,$fot(X_146))]]) ).
cnf(refute_0_687,plain,
( multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)) != X_106
| multiply(multiply(X_146,X_144,X_106),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),inverse(X_146)) != multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),inverse(X_146)),multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)) ),[0,1],$fot(X_106)]]) ).
cnf(refute_0_688,plain,
( multiply(multiply(X_146,X_144,X_106),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),inverse(X_146)) != multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),X_106) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),inverse(X_146)),multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)) )],[refute_0_627,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),
inference(subst,[],[refute_0_597:[bind(X_2,$fot(X_106)),bind(X_6,$fot(multiply(X_146,X_144,X_106))),bind(X_68,$fot(X_146))]]) ).
cnf(refute_0_691,plain,
( multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)) != X_106
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) != multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106))
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = X_106 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)))),bind(Y,$fot(multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)))),bind(Z,$fot(X_106))]]) ).
cnf(refute_0_692,plain,
( multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)) != X_106
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = X_106 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)),multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) = X_106,
inference(resolve,[$cnf( $equal(multiply(X_106,inverse(X_146),multiply(X_146,X_144,X_106)),X_106) )],[refute_0_686,refute_0_692]) ).
cnf(refute_0_694,plain,
( multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) != X_106
| multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) != multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)
| X_106 = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)),multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)) ),[0],$fot(X_106)]]) ).
cnf(refute_0_695,plain,
( multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)) != multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)
| X_106 = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)),X_106) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
X_106 = multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106),
inference(resolve,[$cnf( $equal(multiply(multiply(X_146,X_144,X_106),X_106,inverse(X_146)),multiply(inverse(X_146),multiply(X_146,X_144,X_106),X_106)) )],[refute_0_689,refute_0_695]) ).
cnf(refute_0_697,plain,
X_153 = multiply(inverse(inverse(X_66)),multiply(inverse(X_66),X_154,X_153),X_153),
inference(subst,[],[refute_0_696:[bind(X_106,$fot(X_153)),bind(X_144,$fot(X_154)),bind(X_146,$fot(inverse(X_66)))]]) ).
cnf(refute_0_698,plain,
multiply(inverse(X_66),X_154,X_153) = multiply(X_154,X_153,inverse(X_66)),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(X_154)),bind(X_6,$fot(X_153))]]) ).
cnf(refute_0_699,plain,
( X_153 != multiply(inverse(inverse(X_66)),multiply(inverse(X_66),X_154,X_153),X_153)
| multiply(inverse(X_66),X_154,X_153) != multiply(X_154,X_153,inverse(X_66))
| X_153 = multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(X_153,multiply(inverse(inverse(X_66)),multiply(inverse(X_66),X_154,X_153),X_153)) ),[1,1],$fot(multiply(X_154,X_153,inverse(X_66)))]]) ).
cnf(refute_0_700,plain,
( X_153 != multiply(inverse(inverse(X_66)),multiply(inverse(X_66),X_154,X_153),X_153)
| X_153 = multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_154,X_153),multiply(X_154,X_153,inverse(X_66))) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
X_153 = multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153),
inference(resolve,[$cnf( $equal(X_153,multiply(inverse(inverse(X_66)),multiply(inverse(X_66),X_154,X_153),X_153)) )],[refute_0_697,refute_0_700]) ).
cnf(refute_0_702,plain,
inverse(inverse(X_66)) = X_66,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_66))]]) ).
cnf(refute_0_703,plain,
multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) = multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153))]]) ).
cnf(refute_0_704,plain,
( inverse(inverse(X_66)) != X_66
| multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) != multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)
| multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153),multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_705,plain,
( inverse(inverse(X_66)) != X_66
| multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153),multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153),
inference(resolve,[$cnf( $equal(inverse(inverse(X_66)),X_66) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
( X_153 != multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)
| multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153) != multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153)
| X_153 = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_153,multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153)) ),[0],$fot(multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153))]]) ).
cnf(refute_0_708,plain,
( X_153 != multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)
| X_153 = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153),multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
X_153 = multiply(X_66,multiply(X_154,X_153,inverse(X_66)),X_153),
inference(resolve,[$cnf( $equal(X_153,multiply(inverse(inverse(X_66)),multiply(X_154,X_153,inverse(X_66)),X_153)) )],[refute_0_701,refute_0_708]) ).
cnf(refute_0_710,plain,
X_179 = multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),
inference(subst,[],[refute_0_709:[bind(X_153,$fot(X_179)),bind(X_66,$fot(inverse(X_177)))]]) ).
cnf(refute_0_711,plain,
( X_179 != multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179)
| multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179) = X_179 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_179)),bind(Y,$fot(multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179)))]]) ).
cnf(refute_0_712,plain,
multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179) = X_179,
inference(resolve,[$cnf( $equal(X_179,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_177,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179) != X_179
| multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_177,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),multiply(X_154,X_179,inverse(inverse(X_177))))) ),[1,1],$fot(X_179)]]) ).
cnf(refute_0_714,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_177,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),X_179) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_177,multiply(inverse(X_177),multiply(X_154,X_179,inverse(inverse(X_177))),X_179),multiply(X_154,X_179,inverse(inverse(X_177))))) )],[refute_0_626,refute_0_714]) ).
cnf(refute_0_716,plain,
inverse(inverse(X_177)) = X_177,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_177))]]) ).
cnf(refute_0_717,plain,
multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_154,X_179,inverse(inverse(X_177))),
introduced(tautology,[refl,[$fot(multiply(X_154,X_179,inverse(inverse(X_177))))]]) ).
cnf(refute_0_718,plain,
( inverse(inverse(X_177)) != X_177
| multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_154,X_179,inverse(inverse(X_177)))
| multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_154,X_179,X_177) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_154,X_179,inverse(inverse(X_177)))) ),[1,2],$fot(X_177)]]) ).
cnf(refute_0_719,plain,
( inverse(inverse(X_177)) != X_177
| multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_154,X_179,X_177) ),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_154,X_179,inverse(inverse(X_177)))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
multiply(X_154,X_179,inverse(inverse(X_177))) = multiply(X_154,X_179,X_177),
inference(resolve,[$cnf( $equal(inverse(inverse(X_177)),X_177) )],[refute_0_716,refute_0_719]) ).
cnf(refute_0_721,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_154,X_179,X_177)
| multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))) ),[0],$fot(multiply(X_154,X_179,X_177))]]) ).
cnf(refute_0_722,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) ),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_154,X_179,X_177)) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) = multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))),
introduced(tautology,[refl,[$fot(multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))))]]) ).
cnf(refute_0_724,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_154,X_179,X_177)
| multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))),multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))) ),[1,2],$fot(multiply(X_154,X_179,X_177))]]) ).
cnf(refute_0_725,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_154,X_179,X_177)
| multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)) ),
inference(resolve,[$cnf( $equal(multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))),multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_154,X_179,X_177)) )],[refute_0_720,refute_0_725]) ).
cnf(refute_0_727,plain,
( multiply(X_154,X_179,X_177) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))) != multiply(X_177,X_179,multiply(X_154,X_179,X_177))
| multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_154,X_179,X_177),multiply(X_177,X_179,multiply(X_154,X_179,X_177))) ),[0],$fot(multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))))]]) ).
cnf(refute_0_728,plain,
( multiply(X_154,X_179,X_177) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)) ),
inference(resolve,[$cnf( $equal(multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177)))),multiply(X_177,X_179,multiply(X_154,X_179,X_177))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
( multiply(X_154,X_179,inverse(inverse(X_177))) != multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))
| multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)) ),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,X_177),multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))) )],[refute_0_722,refute_0_728]) ).
cnf(refute_0_730,plain,
multiply(X_154,X_179,X_177) = multiply(X_177,X_179,multiply(X_154,X_179,X_177)),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,inverse(inverse(X_177))),multiply(X_177,X_179,multiply(X_154,X_179,inverse(inverse(X_177))))) )],[refute_0_715,refute_0_729]) ).
cnf(refute_0_731,plain,
( multiply(X_154,X_179,X_177) != multiply(X_177,X_179,multiply(X_154,X_179,X_177))
| multiply(X_177,X_179,multiply(X_154,X_179,X_177)) = multiply(X_154,X_179,X_177) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_154,X_179,X_177))),bind(Y,$fot(multiply(X_177,X_179,multiply(X_154,X_179,X_177))))]]) ).
cnf(refute_0_732,plain,
multiply(X_177,X_179,multiply(X_154,X_179,X_177)) = multiply(X_154,X_179,X_177),
inference(resolve,[$cnf( $equal(multiply(X_154,X_179,X_177),multiply(X_177,X_179,multiply(X_154,X_179,X_177))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
multiply(X_97,X_98,multiply(X_242,X_98,X_97)) = multiply(X_242,X_98,X_97),
inference(subst,[],[refute_0_732:[bind(X_154,$fot(X_242)),bind(X_177,$fot(X_97)),bind(X_179,$fot(X_98))]]) ).
cnf(refute_0_734,plain,
inverse(inverse(X_97)) = X_97,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_97))]]) ).
cnf(refute_0_735,plain,
multiply(X_242,X_98,inverse(inverse(X_97))) = multiply(X_242,X_98,inverse(inverse(X_97))),
introduced(tautology,[refl,[$fot(multiply(X_242,X_98,inverse(inverse(X_97))))]]) ).
cnf(refute_0_736,plain,
( inverse(inverse(X_97)) != X_97
| multiply(X_242,X_98,inverse(inverse(X_97))) != multiply(X_242,X_98,inverse(inverse(X_97)))
| multiply(X_242,X_98,inverse(inverse(X_97))) = multiply(X_242,X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_242,X_98,inverse(inverse(X_97))),multiply(X_242,X_98,inverse(inverse(X_97)))) ),[1,2],$fot(X_97)]]) ).
cnf(refute_0_737,plain,
( inverse(inverse(X_97)) != X_97
| multiply(X_242,X_98,inverse(inverse(X_97))) = multiply(X_242,X_98,X_97) ),
inference(resolve,[$cnf( $equal(multiply(X_242,X_98,inverse(inverse(X_97))),multiply(X_242,X_98,inverse(inverse(X_97)))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(X_242,X_98,inverse(inverse(X_97))) = multiply(X_242,X_98,X_97),
inference(resolve,[$cnf( $equal(inverse(inverse(X_97)),X_97) )],[refute_0_734,refute_0_737]) ).
cnf(refute_0_739,plain,
inverse(inverse(X_98)) = X_98,
inference(subst,[],[refute_0_261:[bind(B,$fot(X_98))]]) ).
cnf(refute_0_740,plain,
multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))),
introduced(tautology,[refl,[$fot(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))]]) ).
cnf(refute_0_741,plain,
( inverse(inverse(X_98)) != X_98
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) != multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,inverse(inverse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) ),[1,1],$fot(X_98)]]) ).
cnf(refute_0_742,plain,
( inverse(inverse(X_98)) != X_98
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,inverse(inverse(X_97))) ),
inference(resolve,[$cnf( $equal(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))),multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,inverse(inverse(X_97))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_98)),X_98) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( multiply(X_242,X_98,inverse(inverse(X_97))) != multiply(X_242,X_98,X_97)
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) != multiply(X_242,X_98,inverse(inverse(X_97)))
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,X_97) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))),bind(Y,$fot(multiply(X_242,X_98,inverse(inverse(X_97))))),bind(Z,$fot(multiply(X_242,X_98,X_97)))]]) ).
cnf(refute_0_745,plain,
( multiply(X_242,X_98,inverse(inverse(X_97))) != multiply(X_242,X_98,X_97)
| multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,X_97) ),
inference(resolve,[$cnf( $equal(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))),multiply(X_242,X_98,inverse(inverse(X_97)))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) = multiply(X_242,X_98,X_97),
inference(resolve,[$cnf( $equal(multiply(X_242,X_98,inverse(inverse(X_97))),multiply(X_242,X_98,X_97)) )],[refute_0_738,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),
introduced(tautology,[refl,[$fot(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))))]]) ).
cnf(refute_0_748,plain,
( multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) != multiply(X_242,X_98,X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_97,X_98,multiply(X_242,X_98,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))) ),[1,2],$fot(multiply(X_242,X_98,X_97))]]) ).
cnf(refute_0_749,plain,
( multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))) != multiply(X_242,X_98,X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_97,X_98,multiply(X_242,X_98,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_97,X_98,multiply(X_242,X_98,X_97)),
inference(resolve,[$cnf( $equal(multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97))),multiply(X_242,X_98,X_97)) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
( multiply(X_97,X_98,multiply(X_242,X_98,X_97)) != multiply(X_242,X_98,X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_97,X_98,multiply(X_242,X_98,X_97))
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_242,X_98,X_97) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))))),bind(Y,$fot(multiply(X_97,X_98,multiply(X_242,X_98,X_97)))),bind(Z,$fot(multiply(X_242,X_98,X_97)))]]) ).
cnf(refute_0_752,plain,
( multiply(X_97,X_98,multiply(X_242,X_98,X_97)) != multiply(X_242,X_98,X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_242,X_98,X_97) ),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_97,X_98,multiply(X_242,X_98,X_97))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) = multiply(X_242,X_98,X_97),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,X_98,X_97)),multiply(X_242,X_98,X_97)) )],[refute_0_733,refute_0_752]) ).
cnf(refute_0_754,plain,
( multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_242,X_98,X_97)
| multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)
| multiply(X_242,X_98,X_97) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)) ),[0],$fot(multiply(X_242,X_98,X_97))]]) ).
cnf(refute_0_755,plain,
( multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)
| multiply(X_242,X_98,X_97) = multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) ),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_242,X_98,X_97)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
( multiply(X_97,X_98,X_99) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97)
| multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97) = multiply(X_97,X_98,X_99) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_97,X_98,X_99))),bind(Y,$fot(multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97)))]]) ).
cnf(refute_0_757,plain,
multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97) = multiply(X_97,X_98,X_99),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,X_99),multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_99),X_97)) )],[refute_0_558,refute_0_756]) ).
cnf(refute_0_758,plain,
multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) = multiply(X_97,X_98,X_242),
inference(subst,[],[refute_0_757:[bind(X_99,$fot(X_242))]]) ).
cnf(refute_0_759,plain,
( multiply(X_242,X_98,X_97) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)
| multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97) != multiply(X_97,X_98,X_242)
| multiply(X_242,X_98,X_97) = multiply(X_97,X_98,X_242) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_242,X_98,X_97),multiply(X_97,X_98,X_242)) ),[0],$fot(multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97))]]) ).
cnf(refute_0_760,plain,
( multiply(X_242,X_98,X_97) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)
| multiply(X_242,X_98,X_97) = multiply(X_97,X_98,X_242) ),
inference(resolve,[$cnf( $equal(multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97),multiply(X_97,X_98,X_242)) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
( multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))) != multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)
| multiply(X_242,X_98,X_97) = multiply(X_97,X_98,X_242) ),
inference(resolve,[$cnf( $equal(multiply(X_242,X_98,X_97),multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)) )],[refute_0_755,refute_0_760]) ).
cnf(refute_0_762,plain,
multiply(X_242,X_98,X_97) = multiply(X_97,X_98,X_242),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98,multiply(X_242,inverse(inverse(X_98)),inverse(inverse(X_97)))),multiply(X_98,multiply(inverse(X_98),inverse(X_97),X_242),X_97)) )],[refute_0_565,refute_0_761]) ).
cnf(refute_0_763,plain,
( multiply(X_242,X_98,X_97) != multiply(X_97,X_98,X_242)
| multiply(X_97,X_98,X_242) = multiply(X_242,X_98,X_97) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_242,X_98,X_97))),bind(Y,$fot(multiply(X_97,X_98,X_242)))]]) ).
cnf(refute_0_764,plain,
multiply(X_97,X_98,X_242) = multiply(X_242,X_98,X_97),
inference(resolve,[$cnf( $equal(multiply(X_242,X_98,X_97),multiply(X_97,X_98,X_242)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))),
inference(subst,[],[refute_0_764:[bind(X_242,$fot(X_6)),bind(X_97,$fot(multiply(X_242,inverse(X_4),inverse(X_6)))),bind(X_98,$fot(X_4))]]) ).
cnf(refute_0_766,plain,
( multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))) != multiply(X_6,X_4,X_242)
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6)))
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_6,X_4,X_242) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6))),bind(Y,$fot(multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))))),bind(Z,$fot(multiply(X_6,X_4,X_242)))]]) ).
cnf(refute_0_767,plain,
( multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))) != multiply(X_6,X_4,X_242)
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_6,X_4,X_242) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) = multiply(X_6,X_4,X_242),
inference(resolve,[$cnf( $equal(multiply(X_6,X_4,multiply(X_242,inverse(X_4),inverse(X_6))),multiply(X_6,X_4,X_242)) )],[refute_0_553,refute_0_767]) ).
cnf(refute_0_769,plain,
( multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_4,X_6,X_242)
| multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_6,X_4,X_242)
| multiply(X_6,X_4,X_242) = multiply(X_4,X_6,X_242) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_4,X_6,X_242)) ),[0],$fot(multiply(X_6,X_4,X_242))]]) ).
cnf(refute_0_770,plain,
( multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6) != multiply(X_4,X_6,X_242)
| multiply(X_6,X_4,X_242) = multiply(X_4,X_6,X_242) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_6,X_4,X_242)) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
multiply(X_6,X_4,X_242) = multiply(X_4,X_6,X_242),
inference(resolve,[$cnf( $equal(multiply(multiply(X_242,inverse(X_4),inverse(X_6)),X_4,X_6),multiply(X_4,X_6,X_242)) )],[refute_0_540,refute_0_770]) ).
cnf(refute_0_772,plain,
multiply(X_106,X_107,X_108) = multiply(X_107,X_106,X_108),
inference(subst,[],[refute_0_771:[bind(X_242,$fot(X_108)),bind(X_4,$fot(X_107)),bind(X_6,$fot(X_106))]]) ).
cnf(refute_0_773,plain,
( multiply(X_106,X_107,X_108) != multiply(X_107,X_106,X_108)
| multiply(X_108,multiply(X_106,X_107,X_108),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_107,X_106,X_108),X_107) = multiply(X_107,X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_106,X_107,X_108),X_107),multiply(X_107,X_108,X_106)) ),[0,1],$fot(multiply(X_107,X_106,X_108))]]) ).
cnf(refute_0_774,plain,
( multiply(X_108,multiply(X_106,X_107,X_108),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_108,multiply(X_107,X_106,X_108),X_107) = multiply(X_107,X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_106,X_107,X_108),multiply(X_107,X_106,X_108)) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(X_108,multiply(X_107,X_106,X_108),X_107) = multiply(X_107,X_108,X_106),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_106,X_107,X_108),X_107),multiply(X_107,X_108,X_106)) )],[refute_0_505,refute_0_774]) ).
cnf(refute_0_776,plain,
multiply(multiply(X_158,X_144,X_156),X_158,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)) = multiply(X_158,X_144,X_156),
inference(subst,[],[refute_0_613:[bind(X_147,$fot(X_156)),bind(X_97,$fot(multiply(X_158,X_144,X_156))),bind(X_98,$fot(X_158))]]) ).
cnf(refute_0_777,plain,
X_156 = multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156),
inference(subst,[],[refute_0_696:[bind(X_106,$fot(X_156)),bind(X_146,$fot(X_158))]]) ).
cnf(refute_0_778,plain,
( X_156 != multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)
| multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156) = X_156 ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_156)),bind(Y,$fot(multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)))]]) ).
cnf(refute_0_779,plain,
multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156) = X_156,
inference(resolve,[$cnf( $equal(X_156,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
( multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156) != X_156
| multiply(multiply(X_158,X_144,X_156),X_158,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)) != multiply(X_158,X_144,X_156)
| multiply(multiply(X_158,X_144,X_156),X_158,X_156) = multiply(X_158,X_144,X_156) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_158,X_144,X_156),X_158,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)),multiply(X_158,X_144,X_156)) ),[0,2],$fot(X_156)]]) ).
cnf(refute_0_781,plain,
( multiply(multiply(X_158,X_144,X_156),X_158,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)) != multiply(X_158,X_144,X_156)
| multiply(multiply(X_158,X_144,X_156),X_158,X_156) = multiply(X_158,X_144,X_156) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156),X_156) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
multiply(multiply(X_158,X_144,X_156),X_158,X_156) = multiply(X_158,X_144,X_156),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_144,X_156),X_158,multiply(inverse(X_158),multiply(X_158,X_144,X_156),X_156)),multiply(X_158,X_144,X_156)) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(multiply(X_158,X_144,X_156),X_158,X_156) = multiply(X_156,multiply(X_158,X_144,X_156),X_158),
inference(subst,[],[refute_0_494:[bind(X_2,$fot(X_156)),bind(X_4,$fot(multiply(X_158,X_144,X_156))),bind(X_6,$fot(X_158))]]) ).
cnf(refute_0_784,plain,
( multiply(multiply(X_158,X_144,X_156),X_158,X_156) != multiply(X_156,multiply(X_158,X_144,X_156),X_158)
| multiply(multiply(X_158,X_144,X_156),X_158,X_156) != multiply(X_158,X_144,X_156)
| multiply(X_156,multiply(X_158,X_144,X_156),X_158) = multiply(X_158,X_144,X_156) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_158,X_144,X_156),X_158,X_156),multiply(X_158,X_144,X_156)) ),[0],$fot(multiply(X_156,multiply(X_158,X_144,X_156),X_158))]]) ).
cnf(refute_0_785,plain,
( multiply(multiply(X_158,X_144,X_156),X_158,X_156) != multiply(X_158,X_144,X_156)
| multiply(X_156,multiply(X_158,X_144,X_156),X_158) = multiply(X_158,X_144,X_156) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_144,X_156),X_158,X_156),multiply(X_156,multiply(X_158,X_144,X_156),X_158)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
multiply(X_156,multiply(X_158,X_144,X_156),X_158) = multiply(X_158,X_144,X_156),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_144,X_156),X_158,X_156),multiply(X_158,X_144,X_156)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(X_108,multiply(X_107,X_106,X_108),X_107) = multiply(X_107,X_106,X_108),
inference(subst,[],[refute_0_786:[bind(X_144,$fot(X_106)),bind(X_156,$fot(X_108)),bind(X_158,$fot(X_107))]]) ).
cnf(refute_0_788,plain,
( multiply(X_108,multiply(X_107,X_106,X_108),X_107) != multiply(X_107,X_106,X_108)
| multiply(X_108,multiply(X_107,X_106,X_108),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_107,X_106,X_108) = multiply(X_107,X_108,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_108,multiply(X_107,X_106,X_108),X_107),multiply(X_107,X_108,X_106)) ),[0],$fot(multiply(X_107,X_106,X_108))]]) ).
cnf(refute_0_789,plain,
( multiply(X_108,multiply(X_107,X_106,X_108),X_107) != multiply(X_107,X_108,X_106)
| multiply(X_107,X_106,X_108) = multiply(X_107,X_108,X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_106,X_108),X_107),multiply(X_107,X_106,X_108)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(X_107,X_106,X_108) = multiply(X_107,X_108,X_106),
inference(resolve,[$cnf( $equal(multiply(X_108,multiply(X_107,X_106,X_108),X_107),multiply(X_107,X_108,X_106)) )],[refute_0_775,refute_0_789]) ).
cnf(refute_0_791,plain,
( multiply(X_107,X_106,X_108) != multiply(X_107,X_108,X_106)
| multiply(X_107,X_108,X_106) = multiply(X_107,X_106,X_108) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_107,X_106,X_108))),bind(Y,$fot(multiply(X_107,X_108,X_106)))]]) ).
cnf(refute_0_792,plain,
multiply(X_107,X_108,X_106) = multiply(X_107,X_106,X_108),
inference(resolve,[$cnf( $equal(multiply(X_107,X_106,X_108),multiply(X_107,X_108,X_106)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(a,c,b) = multiply(a,b,c),
inference(subst,[],[refute_0_792:[bind(X_106,$fot(b)),bind(X_107,$fot(a)),bind(X_108,$fot(c))]]) ).
cnf(refute_0_794,plain,
multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,c,b)),
introduced(tautology,[refl,[$fot(multiply(d,e,multiply(a,c,b)))]]) ).
cnf(refute_0_795,plain,
( multiply(a,c,b) != multiply(a,b,c)
| multiply(d,e,multiply(a,c,b)) != multiply(d,e,multiply(a,c,b))
| multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(d,e,multiply(a,c,b)),multiply(d,e,multiply(a,c,b))) ),[1,2],$fot(multiply(a,b,c))]]) ).
cnf(refute_0_796,plain,
( multiply(a,c,b) != multiply(a,b,c)
| multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,b,c)) ),
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(a,c,b)),multiply(d,e,multiply(a,c,b))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,b,c)),
inference(resolve,[$cnf( $equal(multiply(a,c,b),multiply(a,b,c)) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,b,c))
| multiply(d,e,multiply(a,c,b)) != multiply(d,e,multiply(a,b,c))
| multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(d,e,multiply(a,c,b)),multiply(d,e,multiply(a,b,c))) ),[1],$fot(multiply(d,e,multiply(a,b,c)))]]) ).
cnf(refute_0_799,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,b,c))
| multiply(d,e,multiply(a,c,b)) = multiply(d,e,multiply(a,b,c)) ),
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(a,c,b)),multiply(d,e,multiply(a,b,c))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,b,c)),
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(a,c,b)),multiply(d,e,multiply(a,b,c))) )],[refute_0_799,refute_0_408]) ).
cnf(refute_0_801,plain,
multiply(d,e,multiply(a,b,c)) = multiply(d,e,multiply(a,b,c)),
introduced(tautology,[refl,[$fot(multiply(d,e,multiply(a,b,c)))]]) ).
cnf(refute_0_802,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(d,e,multiply(a,b,c)),multiply(d,e,multiply(a,b,c))) )],[refute_0_801,refute_0_800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 16:37:03 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.23/3.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/3.40
% 3.23/3.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.29/3.52
%------------------------------------------------------------------------------