TSTP Solution File: BOO068-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : BOO068-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 23:46:03 EDT 2022

% Result   : Unsatisfiable 1.20s 1.45s
% Output   : CNFRefutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  102
%            Number of leaves      :  134
% Syntax   : Number of clauses     :  521 ( 267 unt;   0 nHn; 234 RR)
%            Number of literals    :  895 ( 894 equ; 377 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   : 1992 (  10 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_2,negated_conjecture,
    multiply(b,a,a) != a ).

cnf(refute_0_0,plain,
    multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
    inference(subst,[],[single_axiom:[bind(A,$fot(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)))),bind(B,$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)))]]) ).

cnf(refute_0_1,plain,
    multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) = multiply(X_2,X_3,X_6),
    inference(subst,[],[single_axiom:[bind(A,$fot(multiply(X_2,X_3,X_4))),bind(B,$fot(multiply(X_2,X_3,X_6))),bind(C,$fot(X_2)),bind(D,$fot(X_3)),bind(E,$fot(X_4)),bind(F,$fot(inverse(multiply(X_2,X_3,X_4)))),bind(G,$fot(X_6))]]) ).

cnf(refute_0_2,plain,
    ( multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) != multiply(X_2,X_3,X_6)
    | multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0,0],$fot(multiply(X_2,X_3,X_6))]]) ).

cnf(refute_0_3,plain,
    ( multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),multiply(X_2,X_3,X_6)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6)),inverse(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) = B,
    inference(subst,[],[single_axiom:[bind(E,$fot(multiply(X_3,multiply(X_6,X_5,X_4),X_2))),bind(F,$fot(inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))))),bind(G,$fot(multiply(X_0,inverse(X_0),X_1)))]]) ).

cnf(refute_0_6,plain,
    multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)) = X_1,
    inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3)),bind(E,$fot(X_4)),bind(F,$fot(X_5)),bind(G,$fot(X_6))]]) ).

cnf(refute_0_7,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) != B
    | multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)) != X_1
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)),B) ),[0,2,1],$fot(X_1)]]) ).

cnf(refute_0_8,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),X_1) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,multiply(multiply(X_0,inverse(X_0),X_1),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(X_3,multiply(X_6,X_5,X_4),X_2)),C)),B) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)) = B,
    inference(subst,[],[refute_0_9:[bind(D,$fot(inverse(C))),bind(X_2,$fot(multiply(X_0,inverse(X_0),X_1))),bind(X_3,$fot(C)),bind(X_4,$fot(multiply(X_36,multiply(X_39,X_38,X_37),X_35))),bind(X_5,$fot(inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))))),bind(X_6,$fot(multiply(X_33,inverse(X_33),inverse(C))))]]) ).

cnf(refute_0_11,plain,
    multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) = multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(C)),bind(B,$fot(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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,$fot(X_33)),bind(X_1,$fot(inverse(C))),bind(X_2,$fot(X_35)),bind(X_3,$fot(X_36)),bind(X_4,$fot(X_37)),bind(X_5,$fot(X_38)),bind(X_6,$fot(X_39))]]) ).

cnf(refute_0_12,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) != multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) ),[0,1,0],$fot(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)))]]) ).

cnf(refute_0_13,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(multiply(X_0,inverse(X_0),X_1),C,multiply(X_33,inverse(X_33),inverse(C))))),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))),multiply(inverse(C),X_1,C)),B) )],[refute_0_10,refute_0_13]) ).

cnf(refute_0_15,plain,
    multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)) = inverse(C),
    inference(subst,[],[single_axiom:[bind(A,$fot(X_33)),bind(B,$fot(inverse(C))),bind(C,$fot(X_35)),bind(D,$fot(X_36)),bind(E,$fot(X_37)),bind(F,$fot(X_38)),bind(G,$fot(X_39))]]) ).

cnf(refute_0_16,plain,
    multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)),
    introduced(tautology,[refl,[$fot(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)))]]) ).

cnf(refute_0_17,plain,
    ( multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)) != multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))
    | multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)) != inverse(C)
    | multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)) = multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))) ),[1,1],$fot(inverse(C))]]) ).

cnf(refute_0_18,plain,
    ( multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)) != inverse(C)
    | multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)),multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),inverse(C)) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))) = inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),
    introduced(tautology,[refl,[$fot(inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))))]]) ).

cnf(refute_0_21,plain,
    ( inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))) != inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)))
    | multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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( $equal(inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)))) ),[1,0],$fot(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))]]) ).

cnf(refute_0_22,plain,
    ( multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1)),multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))) )],[refute_0_19,refute_0_22]) ).

cnf(refute_0_24,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)))]]) ).

cnf(refute_0_25,plain,
    ( inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) ),[1,1],$fot(inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))))]]) ).

cnf(refute_0_26,plain,
    ( inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1)))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) ),[0],$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)))]]) ).

cnf(refute_0_29,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),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_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C))) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(X_33,inverse(X_33),inverse(C)),inverse(multiply(multiply(X_35,X_36,X_37),X_38,multiply(X_35,X_36,X_39))),multiply(X_36,multiply(X_39,X_38,X_37),X_35)),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),B) )],[refute_0_14,refute_0_29]) ).

cnf(refute_0_31,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = B,
    inference(subst,[],[refute_0_30:[bind(X_0,$fot(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)))),bind(X_1,$fot(multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_32,plain,
    multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)) = multiply(X_43,inverse(X_43),X_44),
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_40)),bind(B,$fot(multiply(X_43,inverse(X_43),X_44))),bind(C,$fot(X_40)),bind(X_0,$fot(X_43)),bind(X_1,$fot(X_44))]]) ).

cnf(refute_0_33,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != B
    | multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)) != multiply(X_43,inverse(X_43),X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),B) ),[0,1,0,2],$fot(multiply(X_43,inverse(X_43),X_44))]]) ).

cnf(refute_0_34,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),multiply(X_43,inverse(X_43),X_44)) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),B) )],[refute_0_31,refute_0_34]) ).

cnf(refute_0_36,plain,
    multiply(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_40),X_44,X_40),
    inference(subst,[],[refute_0_30:[bind(A,$fot(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)))),bind(B,$fot(multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_37,plain,
    ( multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)) != multiply(X_43,inverse(X_43),X_44)
    | multiply(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_40),X_44,X_40)
    | multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_40),X_44,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_40),X_44,X_40)) ),[0,0],$fot(multiply(X_43,inverse(X_43),X_44))]]) ).

cnf(refute_0_38,plain,
    ( multiply(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_40),X_44,X_40)
    | multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_40),X_44,X_40) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),multiply(X_43,inverse(X_43),X_44)) )],[refute_0_32,refute_0_37]) ).

cnf(refute_0_39,plain,
    multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = multiply(inverse(X_40),X_44,X_40),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_40),X_44,X_40)) )],[refute_0_36,refute_0_38]) ).

cnf(refute_0_40,plain,
    multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) = X_44,
    inference(subst,[],[refute_0_30:[bind(A,$fot(X_43)),bind(B,$fot(X_44))]]) ).

cnf(refute_0_41,plain,
    ( multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != X_44
    | multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_40),X_44,X_40)
    | X_44 = multiply(inverse(X_40),X_44,X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_40),X_44,X_40)) ),[0],$fot(X_44)]]) ).

cnf(refute_0_42,plain,
    ( multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)) != multiply(inverse(X_40),X_44,X_40)
    | X_44 = multiply(inverse(X_40),X_44,X_40) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),X_44) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    X_44 = multiply(inverse(X_40),X_44,X_40),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_43,inverse(X_43),X_44),inverse(multiply(C,inverse(C),multiply(X_0,inverse(X_0),X_1))),multiply(inverse(C),X_1,C)),multiply(inverse(X_40),X_44,X_40)) )],[refute_0_39,refute_0_42]) ).

cnf(refute_0_44,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_45,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_46,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    ( X_44 != multiply(inverse(X_40),X_44,X_40)
    | multiply(inverse(X_40),X_44,X_40) = X_44 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_44)),bind(Y,$fot(multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_48,plain,
    multiply(inverse(X_40),X_44,X_40) = X_44,
    inference(resolve,[$cnf( $equal(X_44,multiply(inverse(X_40),X_44,X_40)) )],[refute_0_43,refute_0_47]) ).

cnf(refute_0_49,plain,
    multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) = multiply(inverse(X_40),X_44,X_40),
    inference(subst,[],[refute_0_48:[bind(X_40,$fot(C)),bind(X_44,$fot(multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_50,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_51,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_46,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) != multiply(inverse(X_40),X_44,X_40)
    | multiply(inverse(X_40),X_44,X_40) != X_44
    | multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) = X_44 ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C))),bind(Y,$fot(multiply(inverse(X_40),X_44,X_40))),bind(Z,$fot(X_44))]]) ).

cnf(refute_0_53,plain,
    ( multiply(inverse(X_40),X_44,X_40) != X_44
    | multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) = X_44 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C),multiply(inverse(X_40),X_44,X_40)) )],[refute_0_49,refute_0_52]) ).

cnf(refute_0_54,plain,
    multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) = X_44,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_40),X_44,X_40),X_44) )],[refute_0_48,refute_0_53]) ).

cnf(refute_0_55,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),
    introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)))]]) ).

cnf(refute_0_56,plain,
    ( multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) != X_44
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C))) ),[1,2],$fot(X_44)]]) ).

cnf(refute_0_57,plain,
    ( multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C) != X_44
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C))) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),
    inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C),X_44) )],[refute_0_54,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),B) ),[0],$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44))]]) ).

cnf(refute_0_60,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44)) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(C),multiply(inverse(X_40),X_44,X_40),C)),B) )],[refute_0_35,refute_0_60]) ).

cnf(refute_0_62,plain,
    multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2),
    inference(subst,[],[refute_0_4:[bind(X_4,$fot(X_14))]]) ).

cnf(refute_0_63,plain,
    ( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2)
    | multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0],$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2))]]) ).

cnf(refute_0_64,plain,
    ( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2)) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_14)),X_14),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_4,refute_0_64]) ).

cnf(refute_0_66,plain,
    multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2),
    inference(subst,[],[refute_0_65:[bind(X_3,$fot(inverse(X_2)))]]) ).

cnf(refute_0_67,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A),
    inference(subst,[],[refute_0_4:[bind(X_2,$fot(A)),bind(X_3,$fot(inverse(A))),bind(X_4,$fot(X_14)),bind(X_6,$fot(B))]]) ).

cnf(refute_0_68,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A)
    | multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) ),[0],$fot(multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A))]]) ).

cnf(refute_0_69,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
    | multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A)) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),X_14)),X_14),A) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_69]) ).

cnf(refute_0_71,plain,
    multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40))),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = B,
    inference(subst,[],[refute_0_70:[bind(A,$fot(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)))),bind(X_14,$fot(multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_72,plain,
    ( multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40))),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != B
    | multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)) != multiply(X_43,inverse(X_43),X_44)
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40))),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),B) ),[0,1,1,0],$fot(multiply(X_43,inverse(X_43),X_44))]]) ).

cnf(refute_0_73,plain,
    ( multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40))),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != B
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40)),multiply(X_43,inverse(X_43),X_44)) )],[refute_0_32,refute_0_72]) ).

cnf(refute_0_74,plain,
    multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = B,
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)),inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(inverse(X_40),X_44,X_40))),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),B) )],[refute_0_71,refute_0_73]) ).

cnf(refute_0_75,plain,
    multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),
    introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)))]]) ).

cnf(refute_0_76,plain,
    ( multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) != multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))
    | multiply(inverse(X_40),X_44,X_40) != X_44
    | multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))) ),[1,2],$fot(X_44)]]) ).

cnf(refute_0_77,plain,
    ( multiply(inverse(X_40),X_44,X_40) != X_44
    | multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) ),
    inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_40),X_44,X_40),X_44) )],[refute_0_48,refute_0_77]) ).

cnf(refute_0_79,plain,
    multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),
    inference(subst,[],[refute_0_48:[bind(X_40,$fot(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44)))),bind(X_44,$fot(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))))]]) ).

cnf(refute_0_80,plain,
    ( multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) != multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))))),bind(Y,$fot(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)))),bind(Z,$fot(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)))]]) ).

cnf(refute_0_81,plain,
    ( multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)) != multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40))) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) = multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44),
    inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)) )],[refute_0_78,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != B
    | multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)
    | multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),B) ),[0],$fot(multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44))]]) ).

cnf(refute_0_84,plain,
    ( multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))) != B
    | multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) = B ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44)) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),X_44) = B,
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),multiply(B,inverse(multiply(X_43,inverse(X_43),X_44)),multiply(inverse(X_40),X_44,X_40)),multiply(X_40,inverse(X_40),multiply(X_43,inverse(X_43),X_44))),B) )],[refute_0_74,refute_0_84]) ).

cnf(refute_0_86,plain,
    multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4) = X_6,
    inference(subst,[],[refute_0_85:[bind(B,$fot(X_6)),bind(X_43,$fot(X_2)),bind(X_44,$fot(X_4))]]) ).

cnf(refute_0_87,plain,
    ( multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4) != X_6
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)) ),[1,1],$fot(X_6)]]) ).

cnf(refute_0_88,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_6) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),X_6,X_2),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_4)),X_4),X_2)) )],[refute_0_66,refute_0_88]) ).

cnf(refute_0_90,plain,
    multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) = multiply(X_6,inverse(X_2),X_2),
    inference(subst,[],[refute_0_48:[bind(X_40,$fot(X_2)),bind(X_44,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).

cnf(refute_0_91,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4)),X_4),X_2),
    inference(subst,[],[refute_0_65:[bind(X_3,$fot(inverse(multiply(X_48,inverse(X_48),X_4))))]]) ).

cnf(refute_0_92,plain,
    multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4) = X_2,
    inference(subst,[],[refute_0_85:[bind(B,$fot(X_2)),bind(X_43,$fot(X_48)),bind(X_44,$fot(X_4))]]) ).

cnf(refute_0_93,plain,
    ( multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4) != X_2
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4)),X_4),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4)),X_4),X_2)) ),[1,1,1,0],$fot(X_2)]]) ).

cnf(refute_0_94,plain,
    ( multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4)),X_4),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4),X_2) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_4)),X_4),X_2)) )],[refute_0_91,refute_0_94]) ).

cnf(refute_0_96,plain,
    inverse(multiply(X_48,inverse(X_48),X_40)) = multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40),
    inference(subst,[],[refute_0_43:[bind(X_44,$fot(inverse(multiply(X_48,inverse(X_48),X_40))))]]) ).

cnf(refute_0_97,plain,
    multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40) = inverse(X_40),
    inference(subst,[],[refute_0_85:[bind(B,$fot(inverse(X_40))),bind(X_43,$fot(X_48)),bind(X_44,$fot(X_40))]]) ).

cnf(refute_0_98,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_40)) != multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40)
    | multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40) != inverse(X_40)
    | inverse(multiply(X_48,inverse(X_48),X_40)) = inverse(X_40) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_48,inverse(X_48),X_40)),inverse(X_40)) ),[0],$fot(multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40))]]) ).

cnf(refute_0_99,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_40)) != multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40)
    | inverse(multiply(X_48,inverse(X_48),X_40)) = inverse(X_40) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40),inverse(X_40)) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    inverse(multiply(X_48,inverse(X_48),X_40)) = inverse(X_40),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_48,inverse(X_48),X_40)),multiply(inverse(X_40),inverse(multiply(X_48,inverse(X_48),X_40)),X_40)) )],[refute_0_96,refute_0_99]) ).

cnf(refute_0_101,plain,
    inverse(multiply(X_48,inverse(X_48),X_4)) = inverse(X_4),
    inference(subst,[],[refute_0_100:[bind(X_40,$fot(X_4))]]) ).

cnf(refute_0_102,plain,
    multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) = multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14),
    introduced(tautology,[refl,[$fot(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14))]]) ).

cnf(refute_0_103,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) != multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)
    | multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14),multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) ),[1,1],$fot(inverse(X_4))]]) ).

cnf(refute_0_104,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14) ),
    inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14),multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) )],[refute_0_102,refute_0_103]) ).

cnf(refute_0_105,plain,
    multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) = multiply(X_2,inverse(X_4),X_14),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_48,inverse(X_48),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_104]) ).

cnf(refute_0_106,plain,
    inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) = inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),
    introduced(tautology,[refl,[$fot(inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)))]]) ).

cnf(refute_0_107,plain,
    ( inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) != inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14))
    | multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
    | inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14))) ),[1,0],$fot(multiply(X_2,inverse(X_4),X_14))]]) ).

cnf(refute_0_108,plain,
    ( multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14) != multiply(X_2,inverse(X_4),X_14)
    | inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14))) )],[refute_0_106,refute_0_107]) ).

cnf(refute_0_109,plain,
    inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) = inverse(multiply(X_2,inverse(X_4),X_14)),
    inference(resolve,[$cnf( $equal(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14),multiply(X_2,inverse(X_4),X_14)) )],[refute_0_105,refute_0_108]) ).

cnf(refute_0_110,plain,
    multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),
    introduced(tautology,[refl,[$fot(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14))]]) ).

cnf(refute_0_111,plain,
    ( inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
    | multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14) != multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14)
    | multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14) = multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14)) ),[1,1],$fot(inverse(multiply(X_2,inverse(X_4),X_14)))]]) ).

cnf(refute_0_112,plain,
    ( inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)) != inverse(multiply(X_2,inverse(X_4),X_14))
    | multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14)) )],[refute_0_110,refute_0_111]) ).

cnf(refute_0_113,plain,
    multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),inverse(multiply(X_2,inverse(X_4),X_14))) )],[refute_0_109,refute_0_112]) ).

cnf(refute_0_114,plain,
    multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),X_2))]]) ).

cnf(refute_0_115,plain,
    ( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)
    | multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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( $equal(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)) ),[1,1],$fot(multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14))]]) ).

cnf(refute_0_116,plain,
    ( multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)) )],[refute_0_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14)) )],[refute_0_113,refute_0_116]) ).

cnf(refute_0_118,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),
    introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2))]]) ).

cnf(refute_0_119,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).

cnf(refute_0_120,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_48,inverse(X_48),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_120]) ).

cnf(refute_0_122,plain,
    ( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2))),bind(Y,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2))),bind(Z,$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)))]]) ).

cnf(refute_0_123,plain,
    ( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2)) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_117,refute_0_123]) ).

cnf(refute_0_125,plain,
    ( multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[0],$fot(multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2))]]) ).

cnf(refute_0_126,plain,
    ( multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) = multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),
    introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).

cnf(refute_0_128,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),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( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) ),[1,0],$fot(inverse(X_4))]]) ).

cnf(refute_0_129,plain,
    ( inverse(multiply(X_48,inverse(X_48),X_4)) != inverse(X_4)
    | multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),inverse(X_4)) )],[refute_0_101,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)
    | multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2))]]) ).

cnf(refute_0_132,plain,
    ( multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2),multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    ( multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2) != multiply(inverse(multiply(X_48,inverse(X_48),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_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_126,refute_0_132]) ).

cnf(refute_0_134,plain,
    multiply(inverse(X_4),multiply(X_6,inverse(multiply(X_2,inverse(X_4),X_14)),X_14),X_2) = multiply(inverse(X_4),multiply(X_6,inverse(X_2),X_4),X_2),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(multiply(X_2,inverse(multiply(X_48,inverse(X_48),X_4)),X_14)),X_14),X_2),multiply(inverse(multiply(X_48,inverse(X_48),X_4)),multiply(X_6,inverse(X_2),X_4),X_2)) )],[refute_0_95,refute_0_133]) ).

cnf(refute_0_135,plain,
    multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),
    inference(subst,[],[refute_0_134:[bind(X_4,$fot(X_2))]]) ).

cnf(refute_0_136,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) != multiply(X_6,inverse(X_2),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2))),bind(Y,$fot(multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2))),bind(Z,$fot(multiply(X_6,inverse(X_2),X_2)))]]) ).

cnf(refute_0_137,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2) != multiply(X_6,inverse(X_2),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2)) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) = multiply(X_6,inverse(X_2),X_2),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(X_2),X_2),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_90,refute_0_137]) ).

cnf(refute_0_139,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(X_6,inverse(X_2),X_2)
    | multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
    | multiply(X_6,inverse(X_2),X_2) = multiply(inverse(X_2),X_6,X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),X_6,X_2)) ),[0],$fot(multiply(X_6,inverse(X_2),X_2))]]) ).

cnf(refute_0_140,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
    | multiply(X_6,inverse(X_2),X_2) = multiply(inverse(X_2),X_6,X_2) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(X_6,inverse(X_2),X_2)) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    multiply(inverse(X_2),X_6,X_2) = X_6,
    inference(subst,[],[refute_0_48:[bind(X_40,$fot(X_2)),bind(X_44,$fot(X_6))]]) ).

cnf(refute_0_142,plain,
    ( multiply(X_6,inverse(X_2),X_2) != multiply(inverse(X_2),X_6,X_2)
    | multiply(inverse(X_2),X_6,X_2) != X_6
    | multiply(X_6,inverse(X_2),X_2) = X_6 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_6,inverse(X_2),X_2),X_6) ),[0],$fot(multiply(inverse(X_2),X_6,X_2))]]) ).

cnf(refute_0_143,plain,
    ( multiply(X_6,inverse(X_2),X_2) != multiply(inverse(X_2),X_6,X_2)
    | multiply(X_6,inverse(X_2),X_2) = X_6 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),X_6,X_2),X_6) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2) != multiply(inverse(X_2),X_6,X_2)
    | multiply(X_6,inverse(X_2),X_2) = X_6 ),
    inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_2),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_140,refute_0_143]) ).

cnf(refute_0_145,plain,
    multiply(X_6,inverse(X_2),X_2) = X_6,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_6,inverse(multiply(X_2,inverse(X_2),X_14)),X_14),X_2),multiply(inverse(X_2),X_6,X_2)) )],[refute_0_89,refute_0_144]) ).

cnf(refute_0_146,plain,
    multiply(multiply(A,inverse(A),B),inverse(X_44),X_44) = multiply(A,inverse(A),B),
    inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_44)),bind(X_6,$fot(multiply(A,inverse(A),B)))]]) ).

cnf(refute_0_147,plain,
    inverse(multiply(X_43,inverse(X_43),X_44)) = inverse(X_44),
    inference(subst,[],[refute_0_100:[bind(X_40,$fot(X_44)),bind(X_48,$fot(X_43))]]) ).

cnf(refute_0_148,plain,
    inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) = inverse(multiply(X_43,inverse(X_43),X_44)),
    inference(subst,[],[refute_0_100:[bind(X_40,$fot(multiply(X_43,inverse(X_43),X_44))),bind(X_48,$fot(C))]]) ).

cnf(refute_0_149,plain,
    ( inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) != inverse(multiply(X_43,inverse(X_43),X_44))
    | inverse(multiply(X_43,inverse(X_43),X_44)) != inverse(X_44)
    | inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) = inverse(X_44) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))))),bind(Y,$fot(inverse(multiply(X_43,inverse(X_43),X_44)))),bind(Z,$fot(inverse(X_44)))]]) ).

cnf(refute_0_150,plain,
    ( inverse(multiply(X_43,inverse(X_43),X_44)) != inverse(X_44)
    | inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) = inverse(X_44) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),inverse(multiply(X_43,inverse(X_43),X_44))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) = inverse(X_44),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_43,inverse(X_43),X_44)),inverse(X_44)) )],[refute_0_147,refute_0_150]) ).

cnf(refute_0_152,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),
    introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44))]]) ).

cnf(refute_0_153,plain,
    ( inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) != inverse(X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) != multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(multiply(A,inverse(A),B),inverse(X_44),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44)) ),[1,1],$fot(inverse(X_44))]]) ).

cnf(refute_0_154,plain,
    ( inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))) != inverse(X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(multiply(A,inverse(A),B),inverse(X_44),X_44) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44)) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(multiply(A,inverse(A),B),inverse(X_44),X_44),
    inference(resolve,[$cnf( $equal(inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),inverse(X_44)) )],[refute_0_151,refute_0_154]) ).

cnf(refute_0_156,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(X_44),X_44) != multiply(A,inverse(A),B)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) != multiply(multiply(A,inverse(A),B),inverse(X_44),X_44)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(A,inverse(A),B) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44))),bind(Y,$fot(multiply(multiply(A,inverse(A),B),inverse(X_44),X_44))),bind(Z,$fot(multiply(A,inverse(A),B)))]]) ).

cnf(refute_0_157,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(X_44),X_44) != multiply(A,inverse(A),B)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(A,inverse(A),B) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),multiply(multiply(A,inverse(A),B),inverse(X_44),X_44)) )],[refute_0_155,refute_0_156]) ).

cnf(refute_0_158,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) = multiply(A,inverse(A),B),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(X_44),X_44),multiply(A,inverse(A),B)) )],[refute_0_146,refute_0_157]) ).

cnf(refute_0_159,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) != multiply(A,inverse(A),B)
    | multiply(A,inverse(A),B) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),B) ),[0],$fot(multiply(A,inverse(A),B))]]) ).

cnf(refute_0_160,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44) != B
    | multiply(A,inverse(A),B) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),multiply(A,inverse(A),B)) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    multiply(A,inverse(A),B) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(X_43,inverse(X_43),X_44))),X_44),B) )],[refute_0_61,refute_0_160]) ).

cnf(refute_0_162,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
    introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)))]]) ).

cnf(refute_0_163,plain,
    ( multiply(A,inverse(A),B) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_164,plain,
    ( multiply(A,inverse(A),B) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))
    | multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) ),[0],$fot(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)))]]) ).

cnf(refute_0_167,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != B
    | multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B) )],[single_axiom,refute_0_167]) ).

cnf(refute_0_169,plain,
    multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = multiply(X_2,X_3,X_6),
    inference(subst,[],[refute_0_168:[bind(B,$fot(multiply(X_2,X_3,X_6)))]]) ).

cnf(refute_0_170,plain,
    ( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_2,X_3,X_6)
    | multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[0],$fot(multiply(X_2,X_3,X_6))]]) ).

cnf(refute_0_171,plain,
    ( multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_2,X_3,X_6)) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_6),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_4,refute_0_171]) ).

cnf(refute_0_173,plain,
    multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2),
    inference(subst,[],[refute_0_172:[bind(X_4,$fot(multiply(X_2,X_2,X_3)))]]) ).

cnf(refute_0_174,plain,
    multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2),
    inference(subst,[],[refute_0_172:[bind(X_6,$fot(multiply(X_2,X_3,X_4)))]]) ).

cnf(refute_0_175,plain,
    multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4) = X_4,
    inference(subst,[],[refute_0_161:[bind(A,$fot(multiply(X_2,X_3,X_4))),bind(B,$fot(X_4))]]) ).

cnf(refute_0_176,plain,
    ( multiply(X_2,X_3,multiply(X_2,X_3,X_4)) != multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4) != X_4
    | multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,X_4)),multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) ),[1,1],$fot(X_4)]]) ).

cnf(refute_0_177,plain,
    ( multiply(X_2,X_3,multiply(X_2,X_3,X_4)) != multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)
    | multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_4) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    multiply(X_2,X_3,multiply(X_2,X_3,X_4)) = multiply(X_3,X_4,X_2),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,X_4)),multiply(X_3,multiply(multiply(X_2,X_3,X_4),inverse(multiply(X_2,X_3,X_4)),X_4),X_2)) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    multiply(X_4,X_3,multiply(X_4,X_3,X_4)) = multiply(X_3,X_4,X_4),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(X_4))]]) ).

cnf(refute_0_180,plain,
    multiply(X_4,X_4,X_6) = multiply(X_4,multiply(X_6,inverse(multiply(X_4,X_4,X_4)),X_4),X_4),
    inference(subst,[],[refute_0_172:[bind(X_2,$fot(X_4)),bind(X_3,$fot(X_4))]]) ).

cnf(refute_0_181,plain,
    multiply(A,inverse(A),inverse(inverse(A))) = inverse(inverse(A)),
    inference(subst,[],[refute_0_161:[bind(B,$fot(inverse(inverse(A))))]]) ).

cnf(refute_0_182,plain,
    multiply(inverse(X_60),X_59,multiply(inverse(X_60),X_59,X_60)) = multiply(X_59,X_60,inverse(X_60)),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(inverse(X_60))),bind(X_3,$fot(X_59)),bind(X_4,$fot(X_60))]]) ).

cnf(refute_0_183,plain,
    X_59 = multiply(inverse(X_60),X_59,X_60),
    inference(subst,[],[refute_0_43:[bind(X_40,$fot(X_60)),bind(X_44,$fot(X_59))]]) ).

cnf(refute_0_184,plain,
    ( X_59 != multiply(inverse(X_60),X_59,X_60)
    | multiply(inverse(X_60),X_59,X_60) = X_59 ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(X_59)),bind(Y,$fot(multiply(inverse(X_60),X_59,X_60)))]]) ).

cnf(refute_0_185,plain,
    multiply(inverse(X_60),X_59,X_60) = X_59,
    inference(resolve,[$cnf( $equal(X_59,multiply(inverse(X_60),X_59,X_60)) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( multiply(inverse(X_60),X_59,X_60) != X_59
    | multiply(inverse(X_60),X_59,multiply(inverse(X_60),X_59,X_60)) != multiply(X_59,X_60,inverse(X_60))
    | multiply(inverse(X_60),X_59,X_59) = multiply(X_59,X_60,inverse(X_60)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),X_59,multiply(inverse(X_60),X_59,X_60)),multiply(X_59,X_60,inverse(X_60))) ),[0,2],$fot(X_59)]]) ).

cnf(refute_0_187,plain,
    ( multiply(inverse(X_60),X_59,multiply(inverse(X_60),X_59,X_60)) != multiply(X_59,X_60,inverse(X_60))
    | multiply(inverse(X_60),X_59,X_59) = multiply(X_59,X_60,inverse(X_60)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_59,X_60),X_59) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiply(inverse(X_60),X_59,X_59) = multiply(X_59,X_60,inverse(X_60)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_59,multiply(inverse(X_60),X_59,X_60)),multiply(X_59,X_60,inverse(X_60))) )],[refute_0_182,refute_0_187]) ).

cnf(refute_0_189,plain,
    multiply(inverse(inverse(A)),A,A) = multiply(A,inverse(A),inverse(inverse(A))),
    inference(subst,[],[refute_0_188:[bind(X_59,$fot(A)),bind(X_60,$fot(inverse(A)))]]) ).

cnf(refute_0_190,plain,
    ( multiply(inverse(inverse(A)),A,A) != multiply(A,inverse(A),inverse(inverse(A)))
    | multiply(A,inverse(A),inverse(inverse(A))) = multiply(inverse(inverse(A)),A,A) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(inverse(inverse(A)),A,A))),bind(Y,$fot(multiply(A,inverse(A),inverse(inverse(A)))))]]) ).

cnf(refute_0_191,plain,
    multiply(A,inverse(A),inverse(inverse(A))) = multiply(inverse(inverse(A)),A,A),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(A,inverse(A),inverse(inverse(A)))) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    ( multiply(A,inverse(A),inverse(inverse(A))) != inverse(inverse(A))
    | multiply(A,inverse(A),inverse(inverse(A))) != multiply(inverse(inverse(A)),A,A)
    | multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),inverse(inverse(A))) ),[0],$fot(multiply(inverse(inverse(A)),A,A))]]) ).

cnf(refute_0_193,plain,
    ( multiply(A,inverse(A),inverse(inverse(A))) != inverse(inverse(A))
    | multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)) ),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),multiply(inverse(inverse(A)),A,A)) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    multiply(inverse(inverse(A)),A,A) = inverse(inverse(A)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(A),inverse(inverse(A))),inverse(inverse(A))) )],[refute_0_181,refute_0_193]) ).

cnf(refute_0_195,plain,
    multiply(multiply(inverse(B),inverse(inverse(B)),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = B,
    inference(subst,[],[refute_0_9:[bind(A,$fot(inverse(B)))]]) ).

cnf(refute_0_196,plain,
    inverse(inverse(B)) = multiply(inverse(B),inverse(inverse(B)),B),
    inference(subst,[],[refute_0_43:[bind(X_40,$fot(B)),bind(X_44,$fot(inverse(inverse(B))))]]) ).

cnf(refute_0_197,plain,
    ( inverse(inverse(B)) != multiply(inverse(B),inverse(inverse(B)),B)
    | multiply(inverse(B),inverse(inverse(B)),B) = inverse(inverse(B)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(inverse(B)))),bind(Y,$fot(multiply(inverse(B),inverse(inverse(B)),B)))]]) ).

cnf(refute_0_198,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_196,refute_0_197]) ).

cnf(refute_0_199,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_200,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_198,refute_0_199]) ).

cnf(refute_0_201,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_195,refute_0_200]) ).

cnf(refute_0_202,plain,
    multiply(X_0,inverse(X_0),X_1) = X_1,
    inference(subst,[],[refute_0_161:[bind(A,$fot(X_0)),bind(B,$fot(X_1))]]) ).

cnf(refute_0_203,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_204,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_205,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_203,refute_0_204]) ).

cnf(refute_0_206,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_202,refute_0_205]) ).

cnf(refute_0_207,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_208,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_209,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_207,refute_0_208]) ).

cnf(refute_0_210,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_206,refute_0_209]) ).

cnf(refute_0_211,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_212,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_213,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_211,refute_0_212]) ).

cnf(refute_0_214,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_210,refute_0_213]) ).

cnf(refute_0_215,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_216,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_217,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_215,refute_0_216]) ).

cnf(refute_0_218,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_214,refute_0_217]) ).

cnf(refute_0_219,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_220,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_221,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_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_221]) ).

cnf(refute_0_223,plain,
    ( multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Y,$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Z,$fot(multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))))]]) ).

cnf(refute_0_224,plain,
    ( multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,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_222,refute_0_223]) ).

cnf(refute_0_225,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_218,refute_0_224]) ).

cnf(refute_0_226,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_227,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_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    multiply(B,inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)),B) )],[refute_0_9,refute_0_227]) ).

cnf(refute_0_229,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_228:[bind(B,$fot(inverse(inverse(B))))]]) ).

cnf(refute_0_230,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_231,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_232,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_230,refute_0_231]) ).

cnf(refute_0_233,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_214,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)) != inverse(inverse(B))
    | multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) != multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C))
    | multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)) = inverse(inverse(B)) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,multiply(X_0,inverse(X_0),X_1)))),multiply(D,X_1,C)))),bind(Y,$fot(multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,X_1))),multiply(D,X_1,C)))),bind(Z,$fot(inverse(inverse(B))))]]) ).

cnf(refute_0_235,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_233,refute_0_234]) ).

cnf(refute_0_236,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_229,refute_0_235]) ).

cnf(refute_0_237,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_238,plain,
    ( multiply(inverse(inverse(B)),inverse(multiply(multiply(C,D,multiply(X_3,multiply(X_6,X_5,X_4),X_2)),inverse(multiply(multiply(X_2,X_3,X_4),X_5,multiply(X_2,X_3,X_6))),multiply(C,D,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_236,refute_0_237]) ).

cnf(refute_0_239,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_201,refute_0_238]) ).

cnf(refute_0_240,plain,
    inverse(inverse(A)) = A,
    inference(subst,[],[refute_0_239:[bind(B,$fot(A))]]) ).

cnf(refute_0_241,plain,
    multiply(inverse(inverse(A)),A,A) = multiply(inverse(inverse(A)),A,A),
    introduced(tautology,[refl,[$fot(multiply(inverse(inverse(A)),A,A))]]) ).

cnf(refute_0_242,plain,
    ( inverse(inverse(A)) != A
    | multiply(inverse(inverse(A)),A,A) != multiply(inverse(inverse(A)),A,A)
    | multiply(inverse(inverse(A)),A,A) = multiply(A,A,A) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(inverse(inverse(A)),A,A)) ),[1,0],$fot(A)]]) ).

cnf(refute_0_243,plain,
    ( inverse(inverse(A)) != A
    | multiply(inverse(inverse(A)),A,A) = multiply(A,A,A) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(inverse(inverse(A)),A,A)) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    multiply(inverse(inverse(A)),A,A) = multiply(A,A,A),
    inference(resolve,[$cnf( $equal(inverse(inverse(A)),A) )],[refute_0_240,refute_0_243]) ).

cnf(refute_0_245,plain,
    ( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
    | multiply(inverse(inverse(A)),A,A) != multiply(A,A,A)
    | multiply(A,A,A) = inverse(inverse(A)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),inverse(inverse(A))) ),[0],$fot(multiply(A,A,A))]]) ).

cnf(refute_0_246,plain,
    ( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
    | multiply(A,A,A) = inverse(inverse(A)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),multiply(A,A,A)) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    ( inverse(inverse(A)) != A
    | multiply(A,A,A) != inverse(inverse(A))
    | multiply(A,A,A) = A ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,A,A),inverse(inverse(A))) ),[1],$fot(A)]]) ).

cnf(refute_0_248,plain,
    ( multiply(A,A,A) != inverse(inverse(A))
    | multiply(A,A,A) = A ),
    inference(resolve,[$cnf( $equal(inverse(inverse(A)),A) )],[refute_0_240,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( multiply(inverse(inverse(A)),A,A) != inverse(inverse(A))
    | multiply(A,A,A) = A ),
    inference(resolve,[$cnf( $equal(multiply(A,A,A),inverse(inverse(A))) )],[refute_0_246,refute_0_248]) ).

cnf(refute_0_250,plain,
    multiply(A,A,A) = A,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(A)),A,A),inverse(inverse(A))) )],[refute_0_194,refute_0_249]) ).

cnf(refute_0_251,plain,
    multiply(X_4,X_4,X_4) = X_4,
    inference(subst,[],[refute_0_250:[bind(A,$fot(X_4))]]) ).

cnf(refute_0_252,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_253,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_251,refute_0_252]) ).

cnf(refute_0_254,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_180,refute_0_253]) ).

cnf(refute_0_255,plain,
    multiply(X_6,inverse(X_4),X_4) = X_6,
    inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_4))]]) ).

cnf(refute_0_256,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_257,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_258,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_256,refute_0_257]) ).

cnf(refute_0_259,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_255,refute_0_258]) ).

cnf(refute_0_260,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_261,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_259,refute_0_260]) ).

cnf(refute_0_262,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_254,refute_0_261]) ).

cnf(refute_0_263,plain,
    multiply(X_4,X_4,X_3) = multiply(X_4,X_3,X_4),
    inference(subst,[],[refute_0_262:[bind(X_6,$fot(X_3))]]) ).

cnf(refute_0_264,plain,
    ( multiply(X_4,X_4,X_3) != multiply(X_4,X_3,X_4)
    | multiply(X_4,X_3,X_4) = multiply(X_4,X_4,X_3) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_4,X_4,X_3))),bind(Y,$fot(multiply(X_4,X_3,X_4)))]]) ).

cnf(refute_0_265,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_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    ( multiply(X_4,X_3,X_4) != multiply(X_4,X_4,X_3)
    | multiply(X_4,X_3,multiply(X_4,X_3,X_4)) != multiply(X_3,X_4,X_4)
    | multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,X_3,multiply(X_4,X_3,X_4)),multiply(X_3,X_4,X_4)) ),[0,2],$fot(multiply(X_4,X_4,X_3))]]) ).

cnf(refute_0_267,plain,
    ( multiply(X_4,X_3,multiply(X_4,X_3,X_4)) != multiply(X_3,X_4,X_4)
    | multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4) ),
    inference(resolve,[$cnf( $equal(multiply(X_4,X_3,X_4),multiply(X_4,X_4,X_3)) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    multiply(X_4,X_3,multiply(X_4,X_4,X_3)) = multiply(X_3,X_4,X_4),
    inference(resolve,[$cnf( $equal(multiply(X_4,X_3,multiply(X_4,X_3,X_4)),multiply(X_3,X_4,X_4)) )],[refute_0_179,refute_0_267]) ).

cnf(refute_0_269,plain,
    multiply(X_2,X_3,multiply(X_2,X_2,X_3)) = multiply(X_3,X_2,X_2),
    inference(subst,[],[refute_0_268:[bind(X_4,$fot(X_2))]]) ).

cnf(refute_0_270,plain,
    ( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)
    | multiply(X_2,X_3,multiply(X_2,X_2,X_3)) != multiply(X_3,X_2,X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)) ),[1,1,1,0],$fot(multiply(X_3,X_2,X_2))]]) ).

cnf(refute_0_271,plain,
    ( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_2,X_3)),multiply(X_3,X_2,X_2)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    multiply(X_2,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_2,X_3,multiply(X_2,X_2,X_3))),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_173,refute_0_271]) ).

cnf(refute_0_273,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) = B,
    inference(subst,[],[single_axiom:[bind(D,$fot(inverse(C)))]]) ).

cnf(refute_0_274,plain,
    multiply(G,F,E) = multiply(inverse(C),multiply(G,F,E),C),
    inference(subst,[],[refute_0_43:[bind(X_40,$fot(C)),bind(X_44,$fot(multiply(G,F,E)))]]) ).

cnf(refute_0_275,plain,
    ( multiply(G,F,E) != multiply(inverse(C),multiply(G,F,E),C)
    | multiply(inverse(C),multiply(G,F,E),C) = multiply(G,F,E) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(G,F,E))),bind(Y,$fot(multiply(inverse(C),multiply(G,F,E),C)))]]) ).

cnf(refute_0_276,plain,
    multiply(inverse(C),multiply(G,F,E),C) = multiply(G,F,E),
    inference(resolve,[$cnf( $equal(multiply(G,F,E),multiply(inverse(C),multiply(G,F,E),C)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( multiply(inverse(C),multiply(G,F,E),C) != multiply(G,F,E)
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)),B) ),[0,2],$fot(multiply(G,F,E))]]) ).

cnf(refute_0_278,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B ),
    inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(G,F,E),C),multiply(G,F,E)) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(inverse(C),multiply(G,F,E),C)),B) )],[refute_0_273,refute_0_278]) ).

cnf(refute_0_280,plain,
    multiply(C,inverse(C),G) = G,
    inference(subst,[],[refute_0_161:[bind(A,$fot(C)),bind(B,$fot(G))]]) ).

cnf(refute_0_281,plain,
    multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)),
    introduced(tautology,[refl,[$fot(multiply(E,F,multiply(C,inverse(C),G)))]]) ).

cnf(refute_0_282,plain,
    ( multiply(C,inverse(C),G) != G
    | multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,multiply(C,inverse(C),G))
    | multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) ),[1,2],$fot(G)]]) ).

cnf(refute_0_283,plain,
    ( multiply(C,inverse(C),G) != G
    | multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
    inference(resolve,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    multiply(E,F,multiply(C,inverse(C),G)) = multiply(E,F,G),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(C),G),G) )],[refute_0_280,refute_0_283]) ).

cnf(refute_0_285,plain,
    multiply(C,inverse(C),E) = E,
    inference(subst,[],[refute_0_161:[bind(A,$fot(C)),bind(B,$fot(E))]]) ).

cnf(refute_0_286,plain,
    multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),
    introduced(tautology,[refl,[$fot(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))]]) ).

cnf(refute_0_287,plain,
    ( multiply(C,inverse(C),E) != E
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) ),[1,0],$fot(E)]]) ).

cnf(refute_0_288,plain,
    ( multiply(C,inverse(C),E) != E
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,multiply(C,inverse(C),G)),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(C),E),E) )],[refute_0_285,refute_0_288]) ).

cnf(refute_0_290,plain,
    ( multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,G)
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,multiply(C,inverse(C),G))
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))),bind(Y,$fot(multiply(E,F,multiply(C,inverse(C),G)))),bind(Z,$fot(multiply(E,F,G)))]]) ).

cnf(refute_0_291,plain,
    ( multiply(E,F,multiply(C,inverse(C),G)) != multiply(E,F,G)
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(E,F,multiply(C,inverse(C),G))) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) = multiply(E,F,G),
    inference(resolve,[$cnf( $equal(multiply(E,F,multiply(C,inverse(C),G)),multiply(E,F,G)) )],[refute_0_284,refute_0_291]) ).

cnf(refute_0_293,plain,
    inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),
    introduced(tautology,[refl,[$fot(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))))]]) ).

cnf(refute_0_294,plain,
    ( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))
    | multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,G)
    | inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))) ),[1,0],$fot(multiply(E,F,G))]]) ).

cnf(refute_0_295,plain,
    ( multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)) != multiply(E,F,G)
    | inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)))) )],[refute_0_293,refute_0_294]) ).

cnf(refute_0_296,plain,
    inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) = inverse(multiply(E,F,G)),
    inference(resolve,[$cnf( $equal(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G)),multiply(E,F,G)) )],[refute_0_292,refute_0_295]) ).

cnf(refute_0_297,plain,
    multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
    introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))]]) ).

cnf(refute_0_298,plain,
    ( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(E,F,G))
    | multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
    | multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) ),[1,1],$fot(inverse(multiply(E,F,G)))]]) ).

cnf(refute_0_299,plain,
    ( inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))) != inverse(multiply(E,F,G))
    | multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
    inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)),
    inference(resolve,[$cnf( $equal(inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),inverse(multiply(E,F,G))) )],[refute_0_296,refute_0_299]) ).

cnf(refute_0_301,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
    introduced(tautology,[refl,[$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))]]) ).

cnf(refute_0_302,plain,
    ( multiply(A,inverse(A),B) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_303,plain,
    ( multiply(A,inverse(A),B) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(A),B),B) )],[refute_0_161,refute_0_303]) ).

cnf(refute_0_305,plain,
    ( multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))),bind(Y,$fot(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)))),bind(Z,$fot(multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))))]]) ).

cnf(refute_0_306,plain,
    ( multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E))) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) = multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)),
    inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))) )],[refute_0_300,refute_0_306]) ).

cnf(refute_0_308,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != B
    | multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))
    | multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),B) ),[0],$fot(multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)))]]) ).

cnf(refute_0_309,plain,
    ( multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)) != B
    | multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B ),
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E))) )],[refute_0_307,refute_0_308]) ).

cnf(refute_0_310,plain,
    multiply(B,inverse(multiply(E,F,G)),multiply(G,F,E)) = B,
    inference(resolve,[$cnf( $equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),E),F,multiply(C,inverse(C),G))),multiply(G,F,E)),B) )],[refute_0_279,refute_0_309]) ).

cnf(refute_0_311,plain,
    multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) = X_6,
    inference(subst,[],[refute_0_310:[bind(B,$fot(X_6)),bind(E,$fot(X_3)),bind(F,$fot(X_2)),bind(G,$fot(X_2))]]) ).

cnf(refute_0_312,plain,
    multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),
    introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2))]]) ).

cnf(refute_0_313,plain,
    ( multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
    | multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) != X_6
    | multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) ),[1,1],$fot(X_6)]]) ).

cnf(refute_0_314,plain,
    ( multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)) != X_6
    | multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) = multiply(X_3,X_6,X_2),
    inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_6) )],[refute_0_311,refute_0_314]) ).

cnf(refute_0_316,plain,
    ( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
    | multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2) != multiply(X_3,X_6,X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,X_6),multiply(X_3,X_6,X_2)) ),[0],$fot(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2))]]) ).

cnf(refute_0_317,plain,
    ( multiply(X_2,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)
    | multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2),multiply(X_3,X_6,X_2)) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    multiply(X_2,X_3,X_6) = multiply(X_3,X_6,X_2),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_2,X_2)),multiply(X_2,X_2,X_3)),X_2)) )],[refute_0_272,refute_0_317]) ).

cnf(refute_0_319,plain,
    ( multiply(X_2,X_3,X_6) != multiply(X_3,X_6,X_2)
    | multiply(X_3,X_6,X_2) = multiply(X_2,X_3,X_6) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_2,X_3,X_6))),bind(Y,$fot(multiply(X_3,X_6,X_2)))]]) ).

cnf(refute_0_320,plain,
    multiply(X_3,X_6,X_2) = multiply(X_2,X_3,X_6),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,X_6),multiply(X_3,X_6,X_2)) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    multiply(a,b,a) = multiply(a,a,b),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(a)),bind(X_3,$fot(a)),bind(X_6,$fot(b))]]) ).

cnf(refute_0_322,plain,
    multiply(b,a,a) = multiply(a,b,a),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(a)),bind(X_3,$fot(b)),bind(X_6,$fot(a))]]) ).

cnf(refute_0_323,plain,
    ( multiply(a,b,a) != multiply(a,a,b)
    | multiply(b,a,a) != multiply(a,b,a)
    | multiply(b,a,a) = multiply(a,a,b) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(b,a,a))),bind(Y,$fot(multiply(a,b,a))),bind(Z,$fot(multiply(a,a,b)))]]) ).

cnf(refute_0_324,plain,
    ( multiply(a,b,a) != multiply(a,a,b)
    | multiply(b,a,a) = multiply(a,a,b) ),
    inference(resolve,[$cnf( $equal(multiply(b,a,a),multiply(a,b,a)) )],[refute_0_322,refute_0_323]) ).

cnf(refute_0_325,plain,
    multiply(b,a,a) = multiply(a,a,b),
    inference(resolve,[$cnf( $equal(multiply(a,b,a),multiply(a,a,b)) )],[refute_0_321,refute_0_324]) ).

cnf(refute_0_326,plain,
    ( multiply(a,a,b) != a
    | multiply(b,a,a) != multiply(a,a,b)
    | multiply(b,a,a) = a ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(b,a,a),multiply(a,a,b)) ),[1],$fot(a)]]) ).

cnf(refute_0_327,plain,
    ( multiply(a,a,b) != a
    | multiply(b,a,a) = a ),
    inference(resolve,[$cnf( $equal(multiply(b,a,a),multiply(a,a,b)) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    multiply(a,a,b) != a,
    inference(resolve,[$cnf( $equal(multiply(b,a,a),a) )],[refute_0_327,prove_tba_axioms_2]) ).

cnf(refute_0_329,plain,
    multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3)))),inverse(multiply(X_3,X_109,X_3))),X_3),
    inference(subst,[],[refute_0_172:[bind(X_2,$fot(X_3)),bind(X_4,$fot(inverse(multiply(X_3,X_109,X_3))))]]) ).

cnf(refute_0_330,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3))),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(multiply(X_4,X_4,inverse(X_3))))]]) ).

cnf(refute_0_331,plain,
    multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) = multiply(X_3,inverse(X_2),X_2),
    inference(subst,[],[refute_0_178:[bind(X_4,$fot(inverse(X_2)))]]) ).

cnf(refute_0_332,plain,
    multiply(X_58,inverse(X_60),multiply(X_58,inverse(X_60),X_60)) = multiply(inverse(X_60),X_60,X_58),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(X_58)),bind(X_3,$fot(inverse(X_60))),bind(X_4,$fot(X_60))]]) ).

cnf(refute_0_333,plain,
    multiply(X_58,inverse(X_60),X_60) = X_58,
    inference(subst,[],[refute_0_145:[bind(X_2,$fot(X_60)),bind(X_6,$fot(X_58))]]) ).

cnf(refute_0_334,plain,
    ( multiply(X_58,inverse(X_60),X_60) != X_58
    | multiply(X_58,inverse(X_60),multiply(X_58,inverse(X_60),X_60)) != multiply(inverse(X_60),X_60,X_58)
    | multiply(X_58,inverse(X_60),X_58) = multiply(inverse(X_60),X_60,X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(X_60),multiply(X_58,inverse(X_60),X_60)),multiply(inverse(X_60),X_60,X_58)) ),[0,2],$fot(X_58)]]) ).

cnf(refute_0_335,plain,
    ( multiply(X_58,inverse(X_60),multiply(X_58,inverse(X_60),X_60)) != multiply(inverse(X_60),X_60,X_58)
    | multiply(X_58,inverse(X_60),X_58) = multiply(inverse(X_60),X_60,X_58) ),
    inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_60),X_60),X_58) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    multiply(X_58,inverse(X_60),X_58) = multiply(inverse(X_60),X_60,X_58),
    inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_60),multiply(X_58,inverse(X_60),X_60)),multiply(inverse(X_60),X_60,X_58)) )],[refute_0_332,refute_0_335]) ).

cnf(refute_0_337,plain,
    multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3)),
    inference(subst,[],[refute_0_172:[bind(X_2,$fot(inverse(X_3))),bind(X_4,$fot(inverse(X_3)))]]) ).

cnf(refute_0_338,plain,
    multiply(inverse(X_60),inverse(X_60),inverse(X_60)) = multiply(inverse(X_60),X_60,inverse(X_60)),
    inference(subst,[],[refute_0_188:[bind(X_59,$fot(inverse(X_60)))]]) ).

cnf(refute_0_339,plain,
    multiply(inverse(X_60),inverse(X_60),inverse(X_60)) = inverse(X_60),
    inference(subst,[],[refute_0_250:[bind(A,$fot(inverse(X_60)))]]) ).

cnf(refute_0_340,plain,
    ( multiply(inverse(X_60),inverse(X_60),inverse(X_60)) != inverse(X_60)
    | multiply(inverse(X_60),inverse(X_60),inverse(X_60)) != multiply(inverse(X_60),X_60,inverse(X_60))
    | inverse(X_60) = multiply(inverse(X_60),X_60,inverse(X_60)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),inverse(X_60),inverse(X_60)),multiply(inverse(X_60),X_60,inverse(X_60))) ),[0],$fot(inverse(X_60))]]) ).

cnf(refute_0_341,plain,
    ( multiply(inverse(X_60),inverse(X_60),inverse(X_60)) != multiply(inverse(X_60),X_60,inverse(X_60))
    | inverse(X_60) = multiply(inverse(X_60),X_60,inverse(X_60)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(X_60),inverse(X_60)),inverse(X_60)) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    inverse(X_60) = multiply(inverse(X_60),X_60,inverse(X_60)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(X_60),inverse(X_60)),multiply(inverse(X_60),X_60,inverse(X_60))) )],[refute_0_338,refute_0_341]) ).

cnf(refute_0_343,plain,
    inverse(X_3) = multiply(inverse(X_3),X_3,inverse(X_3)),
    inference(subst,[],[refute_0_342:[bind(X_60,$fot(X_3))]]) ).

cnf(refute_0_344,plain,
    ( inverse(X_3) != multiply(inverse(X_3),X_3,inverse(X_3))
    | multiply(inverse(X_3),X_3,inverse(X_3)) = inverse(X_3) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(multiply(inverse(X_3),X_3,inverse(X_3))))]]) ).

cnf(refute_0_345,plain,
    multiply(inverse(X_3),X_3,inverse(X_3)) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),multiply(inverse(X_3),X_3,inverse(X_3))) )],[refute_0_343,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))
    | multiply(inverse(X_3),X_3,inverse(X_3)) != inverse(X_3)
    | multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))) ),[1,1,1,0],$fot(inverse(X_3))]]) ).

cnf(refute_0_347,plain,
    ( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))
    | multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,inverse(X_3)),inverse(X_3)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    multiply(inverse(X_3),X_3,X_6) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(inverse(X_3),X_3,inverse(X_3))),inverse(X_3)),inverse(X_3))) )],[refute_0_337,refute_0_347]) ).

cnf(refute_0_349,plain,
    multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) = X_6,
    inference(subst,[],[refute_0_145:[bind(X_2,$fot(inverse(X_3)))]]) ).

cnf(refute_0_350,plain,
    multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),
    introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)))]]) ).

cnf(refute_0_351,plain,
    ( multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
    | multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) != X_6
    | multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) ),[1,1],$fot(X_6)]]) ).

cnf(refute_0_352,plain,
    ( multiply(X_6,inverse(inverse(X_3)),inverse(X_3)) != X_6
    | multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) = multiply(X_3,X_6,inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),X_6) )],[refute_0_349,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)) != multiply(X_3,X_6,inverse(X_3))
    | multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
    | multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) ),[1],$fot(multiply(X_3,X_6,inverse(X_3)))]]) ).

cnf(refute_0_355,plain,
    ( multiply(inverse(X_3),X_3,X_6) != multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))
    | multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3)),multiply(X_3,X_6,inverse(X_3))) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(inverse(X_3),X_3,X_6) = multiply(X_3,X_6,inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3,X_6),multiply(X_3,multiply(X_6,inverse(inverse(X_3)),inverse(X_3)),inverse(X_3))) )],[refute_0_348,refute_0_355]) ).

cnf(refute_0_357,plain,
    multiply(inverse(X_60),X_60,X_58) = multiply(X_60,X_58,inverse(X_60)),
    inference(subst,[],[refute_0_356:[bind(X_3,$fot(X_60)),bind(X_6,$fot(X_58))]]) ).

cnf(refute_0_358,plain,
    ( multiply(X_58,inverse(X_60),X_58) != multiply(inverse(X_60),X_60,X_58)
    | multiply(inverse(X_60),X_60,X_58) != multiply(X_60,X_58,inverse(X_60))
    | multiply(X_58,inverse(X_60),X_58) = multiply(X_60,X_58,inverse(X_60)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(X_60),X_58),multiply(X_60,X_58,inverse(X_60))) ),[0],$fot(multiply(inverse(X_60),X_60,X_58))]]) ).

cnf(refute_0_359,plain,
    ( multiply(X_58,inverse(X_60),X_58) != multiply(inverse(X_60),X_60,X_58)
    | multiply(X_58,inverse(X_60),X_58) = multiply(X_60,X_58,inverse(X_60)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_60,X_58),multiply(X_60,X_58,inverse(X_60))) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    multiply(X_58,inverse(X_60),X_58) = multiply(X_60,X_58,inverse(X_60)),
    inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_60),X_58),multiply(inverse(X_60),X_60,X_58)) )],[refute_0_336,refute_0_359]) ).

cnf(refute_0_361,plain,
    multiply(X_3,inverse(X_2),X_3) = multiply(X_2,X_3,inverse(X_2)),
    inference(subst,[],[refute_0_360:[bind(X_58,$fot(X_3)),bind(X_60,$fot(X_2))]]) ).

cnf(refute_0_362,plain,
    ( multiply(X_3,inverse(X_2),X_3) != multiply(X_2,X_3,inverse(X_2))
    | multiply(X_2,X_3,inverse(X_2)) = multiply(X_3,inverse(X_2),X_3) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_3,inverse(X_2),X_3))),bind(Y,$fot(multiply(X_2,X_3,inverse(X_2))))]]) ).

cnf(refute_0_363,plain,
    multiply(X_2,X_3,inverse(X_2)) = multiply(X_3,inverse(X_2),X_3),
    inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_2),X_3),multiply(X_2,X_3,inverse(X_2))) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    ( multiply(X_2,X_3,inverse(X_2)) != multiply(X_3,inverse(X_2),X_3)
    | multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) != multiply(X_3,inverse(X_2),X_2)
    | multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))),multiply(X_3,inverse(X_2),X_2)) ),[0,2],$fot(multiply(X_3,inverse(X_2),X_3))]]) ).

cnf(refute_0_365,plain,
    ( multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))) != multiply(X_3,inverse(X_2),X_2)
    | multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,inverse(X_2)),multiply(X_3,inverse(X_2),X_3)) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = multiply(X_3,inverse(X_2),X_2),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,inverse(X_2))),multiply(X_3,inverse(X_2),X_2)) )],[refute_0_331,refute_0_365]) ).

cnf(refute_0_367,plain,
    multiply(X_3,inverse(X_2),X_2) = X_3,
    inference(subst,[],[refute_0_145:[bind(X_6,$fot(X_3))]]) ).

cnf(refute_0_368,plain,
    ( multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != multiply(X_3,inverse(X_2),X_2)
    | multiply(X_3,inverse(X_2),X_2) != X_3
    | multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),X_3) ),[0],$fot(multiply(X_3,inverse(X_2),X_2))]]) ).

cnf(refute_0_369,plain,
    ( multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != multiply(X_3,inverse(X_2),X_2)
    | multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3 ),
    inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_2),X_2),X_3) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) = X_3,
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),multiply(X_3,inverse(X_2),X_2)) )],[refute_0_366,refute_0_369]) ).

cnf(refute_0_371,plain,
    multiply(X_72,X_73,multiply(X_73,inverse(X_72),X_73)) = X_73,
    inference(subst,[],[refute_0_370:[bind(X_2,$fot(X_72)),bind(X_3,$fot(X_73))]]) ).

cnf(refute_0_372,plain,
    multiply(X_73,X_73,inverse(X_72)) = multiply(X_73,inverse(X_72),X_73),
    inference(subst,[],[refute_0_262:[bind(X_4,$fot(X_73)),bind(X_6,$fot(inverse(X_72)))]]) ).

cnf(refute_0_373,plain,
    ( multiply(X_73,X_73,inverse(X_72)) != multiply(X_73,inverse(X_72),X_73)
    | multiply(X_73,inverse(X_72),X_73) = multiply(X_73,X_73,inverse(X_72)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_73,X_73,inverse(X_72)))),bind(Y,$fot(multiply(X_73,inverse(X_72),X_73)))]]) ).

cnf(refute_0_374,plain,
    multiply(X_73,inverse(X_72),X_73) = multiply(X_73,X_73,inverse(X_72)),
    inference(resolve,[$cnf( $equal(multiply(X_73,X_73,inverse(X_72)),multiply(X_73,inverse(X_72),X_73)) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( multiply(X_72,X_73,multiply(X_73,inverse(X_72),X_73)) != X_73
    | multiply(X_73,inverse(X_72),X_73) != multiply(X_73,X_73,inverse(X_72))
    | multiply(X_72,X_73,multiply(X_73,X_73,inverse(X_72))) = X_73 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,X_73,multiply(X_73,inverse(X_72),X_73)),X_73) ),[0,2],$fot(multiply(X_73,X_73,inverse(X_72)))]]) ).

cnf(refute_0_376,plain,
    ( multiply(X_72,X_73,multiply(X_73,inverse(X_72),X_73)) != X_73
    | multiply(X_72,X_73,multiply(X_73,X_73,inverse(X_72))) = X_73 ),
    inference(resolve,[$cnf( $equal(multiply(X_73,inverse(X_72),X_73),multiply(X_73,X_73,inverse(X_72))) )],[refute_0_374,refute_0_375]) ).

cnf(refute_0_377,plain,
    multiply(X_72,X_73,multiply(X_73,X_73,inverse(X_72))) = X_73,
    inference(resolve,[$cnf( $equal(multiply(X_72,X_73,multiply(X_73,inverse(X_72),X_73)),X_73) )],[refute_0_371,refute_0_376]) ).

cnf(refute_0_378,plain,
    multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3))) = X_4,
    inference(subst,[],[refute_0_377:[bind(X_72,$fot(X_3)),bind(X_73,$fot(X_4))]]) ).

cnf(refute_0_379,plain,
    ( multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3))) != X_4
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = X_4 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3)))) ),[1],$fot(X_4)]]) ).

cnf(refute_0_380,plain,
    ( multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = X_4 ),
    inference(resolve,[$cnf( $equal(multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3))),X_4) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = X_4,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),multiply(X_3,X_4,multiply(X_4,X_4,inverse(X_3)))) )],[refute_0_330,refute_0_380]) ).

cnf(refute_0_382,plain,
    multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2),
    inference(subst,[],[refute_0_178:[bind(X_4,$fot(multiply(X_3,inverse(X_2),X_3)))]]) ).

cnf(refute_0_383,plain,
    ( multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) != multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)
    | multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)) != X_3
    | multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))),multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)) ),[0,2],$fot(X_3)]]) ).

cnf(refute_0_384,plain,
    ( multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))) != multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)
    | multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2) ),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3)),X_3) )],[refute_0_370,refute_0_383]) ).

cnf(refute_0_385,plain,
    multiply(X_2,X_3,X_3) = multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3,multiply(X_2,X_3,multiply(X_3,inverse(X_2),X_3))),multiply(X_3,multiply(X_3,inverse(X_2),X_3),X_2)) )],[refute_0_382,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(X_76,X_77,X_77) = multiply(X_77,multiply(X_77,inverse(X_76),X_77),X_76),
    inference(subst,[],[refute_0_385:[bind(X_2,$fot(X_76)),bind(X_3,$fot(X_77))]]) ).

cnf(refute_0_387,plain,
    multiply(X_77,X_77,inverse(X_76)) = multiply(X_77,inverse(X_76),X_77),
    inference(subst,[],[refute_0_262:[bind(X_4,$fot(X_77)),bind(X_6,$fot(inverse(X_76)))]]) ).

cnf(refute_0_388,plain,
    ( multiply(X_77,X_77,inverse(X_76)) != multiply(X_77,inverse(X_76),X_77)
    | multiply(X_77,inverse(X_76),X_77) = multiply(X_77,X_77,inverse(X_76)) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_77,X_77,inverse(X_76)))),bind(Y,$fot(multiply(X_77,inverse(X_76),X_77)))]]) ).

cnf(refute_0_389,plain,
    multiply(X_77,inverse(X_76),X_77) = multiply(X_77,X_77,inverse(X_76)),
    inference(resolve,[$cnf( $equal(multiply(X_77,X_77,inverse(X_76)),multiply(X_77,inverse(X_76),X_77)) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    ( multiply(X_76,X_77,X_77) != multiply(X_77,multiply(X_77,inverse(X_76),X_77),X_76)
    | multiply(X_77,inverse(X_76),X_77) != multiply(X_77,X_77,inverse(X_76))
    | multiply(X_76,X_77,X_77) = multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,X_77,X_77),multiply(X_77,multiply(X_77,inverse(X_76),X_77),X_76)) ),[1,1],$fot(multiply(X_77,X_77,inverse(X_76)))]]) ).

cnf(refute_0_391,plain,
    ( multiply(X_76,X_77,X_77) != multiply(X_77,multiply(X_77,inverse(X_76),X_77),X_76)
    | multiply(X_76,X_77,X_77) = multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76) ),
    inference(resolve,[$cnf( $equal(multiply(X_77,inverse(X_76),X_77),multiply(X_77,X_77,inverse(X_76))) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    multiply(X_76,X_77,X_77) = multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76),
    inference(resolve,[$cnf( $equal(multiply(X_76,X_77,X_77),multiply(X_77,multiply(X_77,inverse(X_76),X_77),X_76)) )],[refute_0_386,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( multiply(X_76,X_77,X_77) != multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76)
    | multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76) = multiply(X_76,X_77,X_77) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_76,X_77,X_77))),bind(Y,$fot(multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76)))]]) ).

cnf(refute_0_394,plain,
    multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76) = multiply(X_76,X_77,X_77),
    inference(resolve,[$cnf( $equal(multiply(X_76,X_77,X_77),multiply(X_77,multiply(X_77,X_77,inverse(X_76)),X_76)) )],[refute_0_392,refute_0_393]) ).

cnf(refute_0_395,plain,
    multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3) = multiply(X_3,X_4,X_4),
    inference(subst,[],[refute_0_394:[bind(X_76,$fot(X_3)),bind(X_77,$fot(X_4))]]) ).

cnf(refute_0_396,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) = multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(X_4)),bind(X_3,$fot(multiply(X_4,X_4,inverse(X_3)))),bind(X_6,$fot(X_3))]]) ).

cnf(refute_0_397,plain,
    ( multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3) != multiply(X_3,X_4,X_4)
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) != multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3)
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) = multiply(X_3,X_4,X_4) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4))),bind(Y,$fot(multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3))),bind(Z,$fot(multiply(X_3,X_4,X_4)))]]) ).

cnf(refute_0_398,plain,
    ( multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3) != multiply(X_3,X_4,X_4)
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) = multiply(X_3,X_4,X_4) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3)) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) = multiply(X_3,X_4,X_4),
    inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_4,X_4,inverse(X_3)),X_3),multiply(X_3,X_4,X_4)) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) = multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))),
    introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))))]]) ).

cnf(refute_0_401,plain,
    ( multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) != multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) != multiply(X_3,X_4,X_4)
    | multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))),multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3)))) ),[1,1],$fot(multiply(X_3,X_4,X_4))]]) ).

cnf(refute_0_402,plain,
    ( multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4) != multiply(X_3,X_4,X_4)
    | multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))),multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3)))) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_3,X_4,X_4)) )],[refute_0_399,refute_0_402]) ).

cnf(refute_0_404,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))),
    inference(subst,[],[refute_0_318:[bind(X_2,$fot(multiply(X_4,X_4,inverse(X_3)))),bind(X_6,$fot(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)))]]) ).

cnf(refute_0_405,plain,
    ( multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) != multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)))),bind(Y,$fot(multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))))),bind(Z,$fot(multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))))]]) ).

cnf(refute_0_406,plain,
    ( multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))) != multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3)))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) = multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))),
    inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4),multiply(X_4,X_4,inverse(X_3))),multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))) )],[refute_0_403,refute_0_406]) ).

cnf(refute_0_408,plain,
    ( multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != X_4
    | multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))
    | multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) = X_4 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),X_4) ),[0],$fot(multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))))]]) ).

cnf(refute_0_409,plain,
    ( multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)) != X_4
    | multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) = X_4 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3)))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    multiply(X_3,multiply(X_3,X_4,X_4),multiply(X_4,X_4,inverse(X_3))) = X_4,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_4,inverse(X_3)),X_3,multiply(multiply(X_4,X_4,inverse(X_3)),X_3,X_4)),X_4) )],[refute_0_381,refute_0_409]) ).

cnf(refute_0_411,plain,
    multiply(inverse(X_60),multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_93,inverse(inverse(X_60)))) = X_93,
    inference(subst,[],[refute_0_410:[bind(X_3,$fot(inverse(X_60))),bind(X_4,$fot(X_93))]]) ).

cnf(refute_0_412,plain,
    multiply(inverse(X_60),X_93,X_93) = multiply(X_93,X_60,inverse(X_60)),
    inference(subst,[],[refute_0_188:[bind(X_59,$fot(X_93))]]) ).

cnf(refute_0_413,plain,
    ( multiply(inverse(X_60),X_93,X_93) != multiply(X_93,X_60,inverse(X_60))
    | multiply(inverse(X_60),multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_93,inverse(inverse(X_60)))) != X_93
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = X_93 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_93,inverse(inverse(X_60)))),X_93) ),[0,1],$fot(multiply(X_93,X_60,inverse(X_60)))]]) ).

cnf(refute_0_414,plain,
    ( multiply(inverse(X_60),multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_93,inverse(inverse(X_60)))) != X_93
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = X_93 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_60,inverse(X_60))) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = X_93,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(inverse(X_60),X_93,X_93),multiply(X_93,X_93,inverse(inverse(X_60)))),X_93) )],[refute_0_411,refute_0_414]) ).

cnf(refute_0_416,plain,
    inverse(inverse(X_60)) = X_60,
    inference(subst,[],[refute_0_239:[bind(B,$fot(X_60))]]) ).

cnf(refute_0_417,plain,
    multiply(X_93,X_93,inverse(inverse(X_60))) = multiply(X_93,X_93,inverse(inverse(X_60))),
    introduced(tautology,[refl,[$fot(multiply(X_93,X_93,inverse(inverse(X_60))))]]) ).

cnf(refute_0_418,plain,
    ( inverse(inverse(X_60)) != X_60
    | multiply(X_93,X_93,inverse(inverse(X_60))) != multiply(X_93,X_93,inverse(inverse(X_60)))
    | multiply(X_93,X_93,inverse(inverse(X_60))) = multiply(X_93,X_93,X_60) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_93,X_93,inverse(inverse(X_60))),multiply(X_93,X_93,inverse(inverse(X_60)))) ),[1,2],$fot(X_60)]]) ).

cnf(refute_0_419,plain,
    ( inverse(inverse(X_60)) != X_60
    | multiply(X_93,X_93,inverse(inverse(X_60))) = multiply(X_93,X_93,X_60) ),
    inference(resolve,[$cnf( $equal(multiply(X_93,X_93,inverse(inverse(X_60))),multiply(X_93,X_93,inverse(inverse(X_60)))) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    multiply(X_93,X_93,inverse(inverse(X_60))) = multiply(X_93,X_93,X_60),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),X_60) )],[refute_0_416,refute_0_419]) ).

cnf(refute_0_421,plain,
    multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),
    introduced(tautology,[refl,[$fot(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))))]]) ).

cnf(refute_0_422,plain,
    ( multiply(X_93,X_93,inverse(inverse(X_60))) != multiply(X_93,X_93,X_60)
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) != multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60))))
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60))))) ),[1,2],$fot(multiply(X_93,X_93,X_60))]]) ).

cnf(refute_0_423,plain,
    ( multiply(X_93,X_93,inverse(inverse(X_60))) != multiply(X_93,X_93,X_60)
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60))))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) = multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)),
    inference(resolve,[$cnf( $equal(multiply(X_93,X_93,inverse(inverse(X_60))),multiply(X_93,X_93,X_60)) )],[refute_0_420,refute_0_423]) ).

cnf(refute_0_425,plain,
    ( multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) != X_93
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) != multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60))
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)) = X_93 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),X_93) ),[0],$fot(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)))]]) ).

cnf(refute_0_426,plain,
    ( multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))) != X_93
    | multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)) = X_93 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60))) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,X_60)) = X_93,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_93,X_60,inverse(X_60)),multiply(X_93,X_93,inverse(inverse(X_60)))),X_93) )],[refute_0_415,refute_0_426]) ).

cnf(refute_0_428,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,multiply(X_105,X_4,X_105))) = X_105,
    inference(subst,[],[refute_0_427:[bind(X_60,$fot(multiply(X_105,X_4,X_105))),bind(X_93,$fot(X_105))]]) ).

cnf(refute_0_429,plain,
    multiply(X_3,X_3,multiply(X_3,X_3,X_4)) = multiply(X_3,X_4,X_3),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(X_3))]]) ).

cnf(refute_0_430,plain,
    multiply(X_3,X_3,X_4) = multiply(X_3,X_4,X_3),
    inference(subst,[],[refute_0_262:[bind(X_4,$fot(X_3)),bind(X_6,$fot(X_4))]]) ).

cnf(refute_0_431,plain,
    ( multiply(X_3,X_3,X_4) != multiply(X_3,X_4,X_3)
    | multiply(X_3,X_3,multiply(X_3,X_3,X_4)) != multiply(X_3,X_4,X_3)
    | multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,X_3,multiply(X_3,X_3,X_4)),multiply(X_3,X_4,X_3)) ),[0,2],$fot(multiply(X_3,X_4,X_3))]]) ).

cnf(refute_0_432,plain,
    ( multiply(X_3,X_3,multiply(X_3,X_3,X_4)) != multiply(X_3,X_4,X_3)
    | multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,X_3,X_4),multiply(X_3,X_4,X_3)) )],[refute_0_430,refute_0_431]) ).

cnf(refute_0_433,plain,
    multiply(X_3,X_3,multiply(X_3,X_4,X_3)) = multiply(X_3,X_4,X_3),
    inference(resolve,[$cnf( $equal(multiply(X_3,X_3,multiply(X_3,X_3,X_4)),multiply(X_3,X_4,X_3)) )],[refute_0_429,refute_0_432]) ).

cnf(refute_0_434,plain,
    multiply(X_105,X_105,multiply(X_105,X_4,X_105)) = multiply(X_105,X_4,X_105),
    inference(subst,[],[refute_0_433:[bind(X_3,$fot(X_105))]]) ).

cnf(refute_0_435,plain,
    ( multiply(X_105,X_105,multiply(X_105,X_4,X_105)) != multiply(X_105,X_4,X_105)
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,multiply(X_105,X_4,X_105))) != X_105
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,multiply(X_105,X_4,X_105))),X_105) ),[0,2],$fot(multiply(X_105,X_4,X_105))]]) ).

cnf(refute_0_436,plain,
    ( multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,multiply(X_105,X_4,X_105))) != X_105
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,multiply(X_105,X_4,X_105)),multiply(X_105,X_4,X_105)) )],[refute_0_434,refute_0_435]) ).

cnf(refute_0_437,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = X_105,
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,multiply(X_105,X_4,X_105))),X_105) )],[refute_0_428,refute_0_436]) ).

cnf(refute_0_438,plain,
    multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(X_105)),bind(X_3,$fot(X_105)),bind(X_6,$fot(inverse(multiply(X_105,X_4,X_105))))]]) ).

cnf(refute_0_439,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) = multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(X_105)),bind(X_3,$fot(inverse(multiply(X_105,X_4,X_105)))),bind(X_6,$fot(X_105))]]) ).

cnf(refute_0_440,plain,
    ( multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) != multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105)
    | multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105))),bind(Y,$fot(multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105))),bind(Z,$fot(multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_441,plain,
    ( multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105),multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105)) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))),
    inference(resolve,[$cnf( $equal(multiply(X_105,inverse(multiply(X_105,X_4,X_105)),X_105),multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_438,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( multiply(inverse(X_60),X_59,X_59) != multiply(X_59,X_60,inverse(X_60))
    | multiply(X_59,X_60,inverse(X_60)) = multiply(inverse(X_60),X_59,X_59) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(inverse(X_60),X_59,X_59))),bind(Y,$fot(multiply(X_59,X_60,inverse(X_60))))]]) ).

cnf(refute_0_444,plain,
    multiply(X_59,X_60,inverse(X_60)) = multiply(inverse(X_60),X_59,X_59),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_59,X_59),multiply(X_59,X_60,inverse(X_60))) )],[refute_0_188,refute_0_443]) ).

cnf(refute_0_445,plain,
    multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) = multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105),
    inference(subst,[],[refute_0_444:[bind(X_59,$fot(X_105)),bind(X_60,$fot(multiply(X_105,X_4,X_105)))]]) ).

cnf(refute_0_446,plain,
    ( multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) != multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105)
    | multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))))),bind(Y,$fot(multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105))),bind(Z,$fot(multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_447,plain,
    ( multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(resolve,[$cnf( $equal(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105)) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),X_105,X_105),multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_442,refute_0_447]) ).

cnf(refute_0_449,plain,
    multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) = multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),
    inference(subst,[],[refute_0_161:[bind(A,$fot(multiply(X_105,X_4,X_105))),bind(B,$fot(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_450,plain,
    ( multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) != multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))
    | multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))))),bind(Y,$fot(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))))),bind(Z,$fot(multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_451,plain,
    ( multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))),
    inference(resolve,[$cnf( $equal(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_448,refute_0_451]) ).

cnf(refute_0_453,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(multiply(X_105,X_4,X_105))),bind(X_3,$fot(inverse(multiply(X_105,X_4,X_105)))),bind(X_6,$fot(multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_454,plain,
    ( multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) != multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))))
    | multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)))),bind(Y,$fot(multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))))),bind(Z,$fot(multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))))]]) ).

cnf(refute_0_455,plain,
    ( multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)),multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))))) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) = multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105)))),multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_452,refute_0_455]) ).

cnf(refute_0_457,plain,
    ( multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) != X_105
    | multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) != multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))
    | multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)),X_105) ),[0],$fot(multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))))]]) ).

cnf(refute_0_458,plain,
    ( multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)) != X_105
    | multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)),multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105)))) )],[refute_0_456,refute_0_457]) ).

cnf(refute_0_459,plain,
    multiply(X_105,X_105,inverse(multiply(X_105,X_4,X_105))) = X_105,
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_105,X_4,X_105)),multiply(X_105,multiply(X_105,X_4,X_105),inverse(multiply(X_105,X_4,X_105))),multiply(X_105,X_4,X_105)),X_105) )],[refute_0_437,refute_0_458]) ).

cnf(refute_0_460,plain,
    multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3))) = X_3,
    inference(subst,[],[refute_0_459:[bind(X_105,$fot(X_3)),bind(X_4,$fot(X_109))]]) ).

cnf(refute_0_461,plain,
    ( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3)))),inverse(multiply(X_3,X_109,X_3))),X_3)
    | multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3))) != X_3
    | multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,X_3))),X_3) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,X_3,X_6),multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3)))),inverse(multiply(X_3,X_109,X_3))),X_3)) ),[1,1,1,0],$fot(X_3)]]) ).

cnf(refute_0_462,plain,
    ( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3)))),inverse(multiply(X_3,X_109,X_3))),X_3)
    | multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,X_3))),X_3) ),
    inference(resolve,[$cnf( $equal(multiply(X_3,X_3,inverse(multiply(X_3,X_109,X_3))),X_3) )],[refute_0_460,refute_0_461]) ).

cnf(refute_0_463,plain,
    multiply(X_3,X_3,X_6) = multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,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(multiply(X_3,X_109,X_3)))),inverse(multiply(X_3,X_109,X_3))),X_3)) )],[refute_0_329,refute_0_462]) ).

cnf(refute_0_464,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)),
    inference(subst,[],[refute_0_178:[bind(X_2,$fot(multiply(X_105,X_105,X_104))),bind(X_3,$fot(inverse(X_104))),bind(X_4,$fot(multiply(X_105,X_104,inverse(X_104))))]]) ).

cnf(refute_0_465,plain,
    multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)) = X_105,
    inference(subst,[],[refute_0_427:[bind(X_60,$fot(X_104)),bind(X_93,$fot(X_105))]]) ).

cnf(refute_0_466,plain,
    ( multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)) != X_105
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))) ),[1],$fot(X_105)]]) ).

cnf(refute_0_467,plain,
    ( multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)),X_105) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = X_105,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))) )],[refute_0_464,refute_0_467]) ).

cnf(refute_0_469,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) = multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)),
    inference(subst,[],[refute_0_318:[bind(X_2,$fot(multiply(X_105,X_105,X_104))),bind(X_3,$fot(inverse(X_104))),bind(X_6,$fot(multiply(X_105,X_104,inverse(X_104))))]]) ).

cnf(refute_0_470,plain,
    ( multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)) != X_105
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) != multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) = X_105 ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))))),bind(Y,$fot(multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)))),bind(Z,$fot(X_105))]]) ).

cnf(refute_0_471,plain,
    ( multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)) != X_105
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104))) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) = X_105,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),multiply(X_105,X_104,inverse(X_104)),multiply(X_105,X_105,X_104)),X_105) )],[refute_0_465,refute_0_471]) ).

cnf(refute_0_473,plain,
    multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) = multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)),
    introduced(tautology,[refl,[$fot(multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)))]]) ).

cnf(refute_0_474,plain,
    ( multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) != multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) != X_105
    | multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)),multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104))) ),[1,1],$fot(X_105)]]) ).

cnf(refute_0_475,plain,
    ( multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))) != X_105
    | multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)),multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104))) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),X_105) )],[refute_0_472,refute_0_475]) ).

cnf(refute_0_477,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)),
    inference(subst,[],[refute_0_318:[bind(X_2,$fot(multiply(X_105,X_105,X_104))),bind(X_3,$fot(inverse(X_104))),bind(X_6,$fot(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))))]]) ).

cnf(refute_0_478,plain,
    ( multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) != multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))))),bind(Y,$fot(multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)))),bind(Z,$fot(multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))))]]) ).

cnf(refute_0_479,plain,
    ( multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)) != multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104))) )],[refute_0_477,refute_0_478]) ).

cnf(refute_0_480,plain,
    multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) = multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104))),multiply(X_105,X_105,X_104)),multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))) )],[refute_0_476,refute_0_479]) ).

cnf(refute_0_481,plain,
    ( multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != X_105
    | multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))
    | multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),X_105) ),[0],$fot(multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)))]]) ).

cnf(refute_0_482,plain,
    ( multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))) != X_105
    | multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104))) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    multiply(inverse(X_104),X_105,multiply(X_105,X_105,X_104)) = X_105,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(multiply(X_105,X_105,X_104),inverse(X_104),multiply(X_105,X_104,inverse(X_104)))),X_105) )],[refute_0_468,refute_0_482]) ).

cnf(refute_0_484,plain,
    multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105)))) = X_105,
    inference(subst,[],[refute_0_483:[bind(X_104,$fot(inverse(multiply(X_105,X_109,X_105))))]]) ).

cnf(refute_0_485,plain,
    multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105))) = X_105,
    inference(subst,[],[refute_0_459:[bind(X_4,$fot(X_109))]]) ).

cnf(refute_0_486,plain,
    ( multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105))) != X_105
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105)))) != X_105
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105)))),X_105) ),[0,2],$fot(X_105)]]) ).

cnf(refute_0_487,plain,
    ( multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105)))) != X_105
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105))),X_105) )],[refute_0_485,refute_0_486]) ).

cnf(refute_0_488,plain,
    multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = X_105,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,multiply(X_105,X_105,inverse(multiply(X_105,X_109,X_105)))),X_105) )],[refute_0_484,refute_0_487]) ).

cnf(refute_0_489,plain,
    multiply(X_105,X_105,multiply(X_105,X_109,X_105)) = multiply(X_105,X_109,X_105),
    inference(subst,[],[refute_0_433:[bind(X_3,$fot(X_105)),bind(X_4,$fot(X_109))]]) ).

cnf(refute_0_490,plain,
    inverse(inverse(multiply(X_105,X_109,X_105))) = multiply(X_105,X_109,X_105),
    inference(subst,[],[refute_0_239:[bind(B,$fot(multiply(X_105,X_109,X_105)))]]) ).

cnf(refute_0_491,plain,
    multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),
    introduced(tautology,[refl,[$fot(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))))]]) ).

cnf(refute_0_492,plain,
    ( inverse(inverse(multiply(X_105,X_109,X_105))) != multiply(X_105,X_109,X_105)
    | multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) != multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))
    | multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_105,multiply(X_105,X_109,X_105)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))) ),[1,2],$fot(multiply(X_105,X_109,X_105))]]) ).

cnf(refute_0_493,plain,
    ( inverse(inverse(multiply(X_105,X_109,X_105))) != multiply(X_105,X_109,X_105)
    | multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_105,multiply(X_105,X_109,X_105)) ),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))) )],[refute_0_491,refute_0_492]) ).

cnf(refute_0_494,plain,
    multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_105,multiply(X_105,X_109,X_105)),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_105,X_109,X_105))),multiply(X_105,X_109,X_105)) )],[refute_0_490,refute_0_493]) ).

cnf(refute_0_495,plain,
    ( multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) != multiply(X_105,X_105,multiply(X_105,X_109,X_105))
    | multiply(X_105,X_105,multiply(X_105,X_109,X_105)) != multiply(X_105,X_109,X_105)
    | multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_109,X_105) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))))),bind(Y,$fot(multiply(X_105,X_105,multiply(X_105,X_109,X_105)))),bind(Z,$fot(multiply(X_105,X_109,X_105)))]]) ).

cnf(refute_0_496,plain,
    ( multiply(X_105,X_105,multiply(X_105,X_109,X_105)) != multiply(X_105,X_109,X_105)
    | multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_109,X_105) ),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),multiply(X_105,X_105,multiply(X_105,X_109,X_105))) )],[refute_0_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) = multiply(X_105,X_109,X_105),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,multiply(X_105,X_109,X_105)),multiply(X_105,X_109,X_105)) )],[refute_0_489,refute_0_496]) ).

cnf(refute_0_498,plain,
    multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105) = multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(X_105)),bind(X_3,$fot(X_105)),bind(X_6,$fot(inverse(inverse(multiply(X_105,X_109,X_105)))))]]) ).

cnf(refute_0_499,plain,
    multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105),
    inference(subst,[],[refute_0_320:[bind(X_2,$fot(X_105)),bind(X_3,$fot(inverse(inverse(multiply(X_105,X_109,X_105))))),bind(X_6,$fot(X_105))]]) ).

cnf(refute_0_500,plain,
    ( multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105) != multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) != multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105)
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105))),bind(Y,$fot(multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105))),bind(Z,$fot(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))))]]) ).

cnf(refute_0_501,plain,
    ( multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105) != multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105),multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105)) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),
    inference(resolve,[$cnf( $equal(multiply(X_105,inverse(inverse(multiply(X_105,X_109,X_105))),X_105),multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))) )],[refute_0_498,refute_0_501]) ).

cnf(refute_0_503,plain,
    ( multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) != multiply(X_105,X_109,X_105)
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) != multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_109,X_105) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105))),bind(Y,$fot(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))))),bind(Z,$fot(multiply(X_105,X_109,X_105)))]]) ).

cnf(refute_0_504,plain,
    ( multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))) != multiply(X_105,X_109,X_105)
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_109,X_105) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105),multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105))))) )],[refute_0_502,refute_0_503]) ).

cnf(refute_0_505,plain,
    multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) = multiply(X_105,X_109,X_105),
    inference(resolve,[$cnf( $equal(multiply(X_105,X_105,inverse(inverse(multiply(X_105,X_109,X_105)))),multiply(X_105,X_109,X_105)) )],[refute_0_497,refute_0_504]) ).

cnf(refute_0_506,plain,
    ( multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) != X_105
    | multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) != multiply(X_105,X_109,X_105)
    | multiply(X_105,X_109,X_105) = X_105 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105),X_105) ),[0],$fot(multiply(X_105,X_109,X_105))]]) ).

cnf(refute_0_507,plain,
    ( multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105) != X_105
    | multiply(X_105,X_109,X_105) = X_105 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105),multiply(X_105,X_109,X_105)) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    multiply(X_105,X_109,X_105) = X_105,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_105,X_109,X_105))),X_105,X_105),X_105) )],[refute_0_488,refute_0_507]) ).

cnf(refute_0_509,plain,
    multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,X_3))),X_3) = X_3,
    inference(subst,[],[refute_0_508:[bind(X_105,$fot(X_3)),bind(X_109,$fot(multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,X_3)))))]]) ).

cnf(refute_0_510,plain,
    ( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,X_3))),X_3)
    | multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,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(multiply(X_3,X_109,X_3))),X_3))]]) ).

cnf(refute_0_511,plain,
    ( multiply(X_3,X_3,X_6) != multiply(X_3,multiply(X_6,inverse(X_3),inverse(multiply(X_3,X_109,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(multiply(X_3,X_109,X_3))),X_3),X_3) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,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(multiply(X_3,X_109,X_3))),X_3)) )],[refute_0_463,refute_0_511]) ).

cnf(refute_0_513,plain,
    multiply(a,a,b) = a,
    inference(subst,[],[refute_0_512:[bind(X_3,$fot(a)),bind(X_6,$fot(b))]]) ).

cnf(refute_0_514,plain,
    ( a != a
    | multiply(a,a,b) != a
    | multiply(a,a,b) = a ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(a,a,b),a) ),[0,0],$fot(a)]]) ).

cnf(refute_0_515,plain,
    ( a != a
    | multiply(a,a,b) = a ),
    inference(resolve,[$cnf( $equal(multiply(a,a,b),a) )],[refute_0_513,refute_0_514]) ).

cnf(refute_0_516,plain,
    a != a,
    inference(resolve,[$cnf( $equal(multiply(a,a,b),a) )],[refute_0_515,refute_0_328]) ).

cnf(refute_0_517,plain,
    a = a,
    introduced(tautology,[refl,[$fot(a)]]) ).

cnf(refute_0_518,plain,
    $false,
    inference(resolve,[$cnf( $equal(a,a) )],[refute_0_517,refute_0_516]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : BOO068-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 16:59:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.20/1.45  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.45  
% 1.20/1.45  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.37/1.55  
%------------------------------------------------------------------------------