Twee---2.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP505-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 10:10:52 AM UTC 2026

% Result   : Unsatisfiable 0.18s 0.54s
% Output   : CNFRefutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  121
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  275 ( 275 unt;   0 nHn;   3 RR)
%            Number of literals    :  275 ( 274 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   : 1969 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

cnf(c2,axiom,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(F)),inverse(D))))))),F) = E,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(c3,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X2,inverse(inverse(X))),inverse(X3))))))),inverse(X)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c6,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2)),inverse(X)) = multiply(X3,inverse(X)),
    inference(congruence,[status(thm)],[c5]) ).

cnf(c7,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2)),inverse(X))) = inverse(multiply(X3,inverse(X))),
    inference(congruence,[status(thm)],[c6]) ).

cnf(c8,plain,
    multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(X4,inverse(inverse(X3))),inverse(X5))))))),inverse(X3)),inverse(X)))) = multiply(X2,inverse(multiply(X4,inverse(X)))),
    inference(congruence,[status(thm)],[c7]) ).

cnf(c9,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(X4,inverse(inverse(X3))),inverse(X5))))))),inverse(X3)),inverse(X))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X4,inverse(X))))),
    inference(congruence,[status(thm)],[c8]) ).

cnf(c10,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X)))))),
    inference(congruence,[status(thm)],[c9]) ).

cnf(c11,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),
    inference(congruence,[status(thm)],[c10]) ).

cnf(c12,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5)),inverse(X))))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c11]) ).

cnf(c13,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X6,inverse(X))))))),X5),
    inference(transitivity,[status(thm)],[c4,c12]) ).

cnf(c14,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),
    inference(substitution,[status(thm)],[c13]) ).

cnf(c15,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c14]) ).

cnf(c16,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),inverse(X5)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),inverse(X5)),
    inference(congruence,[status(thm)],[c15]) ).

cnf(c17,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),inverse(X5)) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c18,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(X2,inverse(X3))))))),X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c16,c17]) ).

cnf(c19,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),
    inference(substitution,[status(thm)],[c18]) ).

cnf(c20,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)),
    inference(symmetry,[status(thm)],[c19]) ).

cnf(c21,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X2,inverse(inverse(X))),inverse(X3))))))),inverse(X)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c22,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X2,inverse(inverse(X))),inverse(X3))))))),inverse(X))) = inverse(X2),
    inference(congruence,[status(thm)],[c21]) ).

cnf(c23,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2)))) = multiply(X,inverse(X3)),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    multiply(inverse(multiply(X,X2)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(X3,inverse(inverse(X2))),inverse(X4))))))),inverse(X2))))) = multiply(inverse(multiply(X,X2)),multiply(X,inverse(X3))),
    inference(congruence,[status(thm)],[c23]) ).

cnf(c25,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X5,inverse(inverse(X4))),inverse(X6))))))),inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5)))),
    inference(congruence,[status(thm)],[c24]) ).

cnf(c26,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X5,inverse(inverse(X4))),inverse(X6))))))),inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X4)),multiply(X,inverse(X5))))),
    inference(congruence,[status(thm)],[c25]) ).

cnf(c27,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),
    inference(congruence,[status(thm)],[c26]) ).

cnf(c28,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))),inverse(X5))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c27]) ).

cnf(c29,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X7))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X5)),multiply(X2,inverse(X6))))),X),inverse(X)),
    inference(transitivity,[status(thm)],[c20,c28]) ).

cnf(c30,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)),
    inference(substitution,[status(thm)],[c29]) ).

cnf(c31,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c30]) ).

cnf(c32,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))),X5),inverse(X5)),inverse(X7)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X7))),inverse(X))))))),inverse(X7)),
    inference(congruence,[status(thm)],[c31]) ).

cnf(c33,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X))))))),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c34,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2))))),X),inverse(X)),inverse(X3)) = X2,
    inference(transitivity,[status(thm)],[c32,c33]) ).

cnf(c35,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),X6),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c36,plain,
    multiply(inverse(X6),X6) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c35]) ).

cnf(c37,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(multiply(X6,X5),inverse(X5)),inverse(X7))))))),inverse(X11)),inverse(X))))))),X11) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(multiply(X6,X5),inverse(X5)),inverse(X7))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c38,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X),
    inference(symmetry,[status(thm)],[c37]) ).

cnf(c39,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X6)),multiply(X,inverse(multiply(multiply(X5,inverse(X4)),inverse(X6))))))),X4) = X5,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c40,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(X5)),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c39]) ).

cnf(c41,plain,
    multiply(X7,X6) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),
    inference(congruence,[status(thm)],[c40]) ).

cnf(c42,plain,
    multiply(multiply(X7,X6),inverse(X6)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)),
    inference(congruence,[status(thm)],[c41]) ).

cnf(c43,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5),
    inference(substitution,[status(thm)],[c13]) ).

cnf(c44,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X6,inverse(inverse(X5))),inverse(X))))))),
    inference(symmetry,[status(thm)],[c43]) ).

cnf(c45,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(X7,inverse(X8))))))),X6),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(X7,inverse(X8))))))),X6),X5),inverse(X5)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),inverse(X5)),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(inverse(X6))),inverse(X))))))),X5),inverse(X5)) = multiply(X7,inverse(inverse(X6))),
    inference(substitution,[status(thm)],[c18]) ).

cnf(c48,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(X3,inverse(X4))))))),X2),X),inverse(X)) = multiply(X3,inverse(inverse(X2))),
    inference(transitivity,[status(thm)],[c46,c47]) ).

cnf(c49,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X7,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)) = multiply(multiply(X7,inverse(X5)),inverse(inverse(X5))),
    inference(substitution,[status(thm)],[c48]) ).

cnf(c50,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),X6),inverse(X6)) = multiply(multiply(X7,inverse(X)),inverse(inverse(X))),
    inference(substitution,[status(thm)],[c48]) ).

cnf(c51,plain,
    multiply(multiply(X7,inverse(X)),inverse(inverse(X))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),X6),inverse(X6)),
    inference(symmetry,[status(thm)],[c50]) ).

cnf(c52,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(X)),inverse(X2))))))),X) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c53,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),X6) = multiply(X7,X6),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),X6),inverse(X6)) = multiply(multiply(X7,X6),inverse(X6)),
    inference(congruence,[status(thm)],[c53]) ).

cnf(c55,plain,
    multiply(multiply(X3,inverse(X)),inverse(inverse(X))) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c51,c54]) ).

cnf(c56,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(multiply(X8,inverse(X5)),inverse(X))))))),X5),X6),inverse(X6)) = multiply(multiply(X8,X7),inverse(X7)),
    inference(transitivity,[status(thm)],[c49,c55]) ).

cnf(c57,plain,
    multiply(multiply(X3,X),inverse(X)) = multiply(multiply(X3,X2),inverse(X2)),
    inference(transitivity,[status(thm)],[c42,c56]) ).

cnf(c58,plain,
    multiply(multiply(X3,X2),inverse(X2)) = multiply(multiply(X3,X),inverse(X)),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c59,plain,
    multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4)) = multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4)),
    inference(congruence,[status(thm)],[c58]) ).

cnf(c60,plain,
    inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))) = inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))),
    inference(congruence,[status(thm)],[c59]) ).

cnf(c61,plain,
    multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4)))) = multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4)))),
    inference(congruence,[status(thm)],[c60]) ).

cnf(c62,plain,
    multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))) = multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))))),
    inference(congruence,[status(thm)],[c61]) ).

cnf(c63,plain,
    multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4)))))) = multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4)))))),
    inference(congruence,[status(thm)],[c62]) ).

cnf(c64,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))))))),
    inference(congruence,[status(thm)],[c63]) ).

cnf(c65,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X),inverse(X)),inverse(X4))))))),X),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X3))))))),X) = multiply(X2,X),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c67,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),X) = multiply(X3,X),
    inference(transitivity,[status(thm)],[c65,c66]) ).

cnf(c68,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(multiply(multiply(multiply(X3,X2),inverse(X2)),inverse(X4))))))),inverse(X)) = multiply(X3,inverse(X)),
    inference(substitution,[status(thm)],[c67]) ).

cnf(c69,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X5))))))),inverse(X)),inverse(X2)) = multiply(multiply(X4,inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(multiply(multiply(multiply(X4,X3),inverse(X3)),inverse(X5))))))),inverse(X)),inverse(X2))) = inverse(multiply(multiply(X4,inverse(X)),inverse(X2))),
    inference(congruence,[status(thm)],[c69]) ).

cnf(c71,plain,
    multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(X5,X4),inverse(X4)),inverse(X6))))))),inverse(X)),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X5,inverse(X)),inverse(X2)))),
    inference(congruence,[status(thm)],[c70]) ).

cnf(c72,plain,
    multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(X5,X4),inverse(X4)),inverse(X6))))))),inverse(X)),inverse(X2))))) = multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X5,inverse(X)),inverse(X2))))),
    inference(congruence,[status(thm)],[c71]) ).

cnf(c73,plain,
    multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2)))))) = multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2)))))),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),
    inference(congruence,[status(thm)],[c73]) ).

cnf(c75,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(X)),inverse(X2))))))),X),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(X)),inverse(X2))))))),X) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c77,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(multiply(X9,X8)),multiply(X9,inverse(multiply(multiply(multiply(X7,X6),inverse(X6)),inverse(X8))))))),inverse(X)),inverse(X2))))))),X) = X7,
    inference(transitivity,[status(thm)],[c75,c76]) ).

cnf(c78,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(X2,X),inverse(X)),inverse(X3))))))) = X2,
    inference(transitivity,[status(thm)],[c38,c77]) ).

cnf(c79,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),X6)),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c80,plain,
    inverse(multiply(inverse(X6),X6)) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c79]) ).

cnf(c81,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),multiply(X7,X6)),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c82,plain,
    multiply(inverse(X6),multiply(X7,X6)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c81]) ).

cnf(c83,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),multiply(X7,X6))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c84,plain,
    inverse(multiply(inverse(X6),multiply(X7,X6))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c83]) ).

cnf(c85,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X7,X6)),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c86,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X6,X7)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c85]) ).

cnf(c87,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c88,plain,
    inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c87]) ).

cnf(c89,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X2),inverse(X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c90,plain,
    multiply(multiply(X2,X),inverse(X)) = multiply(multiply(X2,inverse(X3)),inverse(inverse(X3))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c91,plain,
    inverse(multiply(multiply(X2,X),inverse(X))) = inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))),
    inference(congruence,[status(thm)],[c90]) ).

cnf(c92,plain,
    multiply(X4,inverse(multiply(multiply(X2,X),inverse(X)))) = multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3))))),
    inference(congruence,[status(thm)],[c91]) ).

cnf(c93,plain,
    multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))))),
    inference(congruence,[status(thm)],[c92]) ).

cnf(c94,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3))))))),
    inference(congruence,[status(thm)],[c93]) ).

cnf(c95,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))))))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,inverse(X3)),inverse(inverse(X3)))))))),X3),
    inference(congruence,[status(thm)],[c95]) ).

cnf(c97,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X,inverse(X2)),inverse(inverse(X2)))))))),X2) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c98,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(multiply(X2,X),inverse(X))))))),X3) = X2,
    inference(transitivity,[status(thm)],[c96,c97]) ).

cnf(c99,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X6)),multiply(X6,X))),multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(multiply(X3,X4),inverse(X4))))))),X2) = X3,
    inference(substitution,[status(thm)],[c98]) ).

cnf(c100,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c99]) ).

cnf(c101,plain,
    inverse(X6) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),
    inference(congruence,[status(thm)],[c100]) ).

cnf(c102,plain,
    multiply(inverse(X6),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6),
    inference(congruence,[status(thm)],[c101]) ).

cnf(c103,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)),
    inference(congruence,[status(thm)],[c102]) ).

cnf(c104,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5) = X6,
    inference(substitution,[status(thm)],[c98]) ).

cnf(c105,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5),
    inference(symmetry,[status(thm)],[c104]) ).

cnf(c106,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),
    inference(congruence,[status(thm)],[c105]) ).

cnf(c107,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5))),
    inference(congruence,[status(thm)],[c106]) ).

cnf(c108,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))) = X6,
    inference(substitution,[status(thm)],[c78]) ).

cnf(c109,plain,
    X6 = inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))),
    inference(symmetry,[status(thm)],[c108]) ).

cnf(c110,plain,
    multiply(X6,X7) = multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2)))))))),
    inference(congruence,[status(thm)],[c109]) ).

cnf(c111,plain,
    multiply(inverse(multiply(X6,X8)),multiply(X6,X7)) = multiply(inverse(multiply(X6,X8)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X7,X),inverse(X)),inverse(X2))))))))),
    inference(congruence,[status(thm)],[c110]) ).

cnf(c112,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,X9))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))),
    inference(congruence,[status(thm)],[c111]) ).

cnf(c113,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9)))),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c114,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9)))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)),
    inference(symmetry,[status(thm)],[c113]) ).

cnf(c115,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c34]) ).

cnf(c116,plain,
    X5 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)),
    inference(symmetry,[status(thm)],[c115]) ).

cnf(c117,plain,
    inverse(X5) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))),
    inference(congruence,[status(thm)],[c116]) ).

cnf(c118,plain,
    multiply(X5,inverse(X6)) = multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X7)),multiply(X2,inverse(X6))))),X),inverse(X)),inverse(X7)))),
    inference(congruence,[status(thm)],[c117]) ).

cnf(c119,plain,
    multiply(inverse(multiply(X5,X7)),multiply(X5,inverse(X6))) = multiply(inverse(multiply(X5,X7)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X7)),multiply(X2,inverse(X6))))),X),inverse(X)),inverse(X7))))),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8)))) = multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9)))))),
    inference(congruence,[status(thm)],[c119]) ).

cnf(c121,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8))))) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))),
    inference(congruence,[status(thm)],[c120]) ).

cnf(c122,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c123,plain,
    X6 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),
    inference(symmetry,[status(thm)],[c122]) ).

cnf(c124,plain,
    multiply(X7,inverse(X6)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    inverse(multiply(X7,inverse(X6))) = inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X7,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    multiply(X7,inverse(multiply(X8,inverse(X6)))) = multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X8,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)))),
    inference(congruence,[status(thm)],[c125]) ).

cnf(c127,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X8,inverse(X6))))) = multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X8,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))),
    inference(congruence,[status(thm)],[c126]) ).

cnf(c128,plain,
    multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X10,inverse(X6)))))) = multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6)))))),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X10,inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))))),
    inference(congruence,[status(thm)],[c128]) ).

cnf(c130,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X11,inverse(inverse(inverse(X2)))),inverse(X3))))))),inverse(inverse(X2))),inverse(X7))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,X14)),multiply(X14,X))),multiply(inverse(multiply(X13,X12)),multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(X11,inverse(inverse(inverse(X2)))),inverse(X3))))))),inverse(X12))))))),X2),
    inference(substitution,[status(thm)],[c13]) ).

cnf(c131,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(inverse(X5))),inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5),
    inference(substitution,[status(thm)],[c13]) ).

cnf(c132,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(inverse(X5))),inverse(X11))))))),
    inference(symmetry,[status(thm)],[c131]) ).

cnf(c133,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))) = X6,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c134,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)) = multiply(X6,inverse(X7)),
    inference(congruence,[status(thm)],[c133]) ).

cnf(c135,plain,
    inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))) = inverse(multiply(X6,inverse(X7))),
    inference(congruence,[status(thm)],[c134]) ).

cnf(c136,plain,
    multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)))) = multiply(X8,inverse(multiply(X6,inverse(X7)))),
    inference(congruence,[status(thm)],[c135]) ).

cnf(c137,plain,
    multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))))) = multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7)))))) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7)))))),
    inference(congruence,[status(thm)],[c137]) ).

cnf(c139,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X6,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X7))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(X6,inverse(X7))))))),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(X10,inverse(inverse(inverse(X5)))),inverse(X6))))))),inverse(X))))))),X5) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(X10,inverse(X11))))))),
    inference(transitivity,[status(thm)],[c132,c139]) ).

cnf(c141,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(X10,inverse(inverse(inverse(X)))),inverse(X2))))))),inverse(inverse(X))),inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X13,X14))),multiply(inverse(multiply(X12,X11)),multiply(X12,inverse(multiply(X10,inverse(X11))))))),
    inference(transitivity,[status(thm)],[c130,c140]) ).

cnf(c142,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(X5,inverse(X))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(X5,inverse(X6))))))),
    inference(transitivity,[status(thm)],[c129,c141]) ).

cnf(c143,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))),
    inference(substitution,[status(thm)],[c142]) ).

cnf(c144,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)) = X5,
    inference(substitution,[status(thm)],[c34]) ).

cnf(c145,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))) = inverse(X5),
    inference(congruence,[status(thm)],[c144]) ).

cnf(c146,plain,
    multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)))) = multiply(X7,inverse(X5)),
    inference(congruence,[status(thm)],[c145]) ).

cnf(c147,plain,
    multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))))) = multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5))),
    inference(congruence,[status(thm)],[c146]) ).

cnf(c148,plain,
    multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6)))))) = multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5)))),
    inference(congruence,[status(thm)],[c147]) ).

cnf(c149,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5))))),X),inverse(X)),inverse(X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5))))),
    inference(congruence,[status(thm)],[c148]) ).

cnf(c150,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X9)),multiply(X2,inverse(X8))))),X),inverse(X)),inverse(X9))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8))))),
    inference(transitivity,[status(thm)],[c143,c149]) ).

cnf(c151,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,inverse(X4))))) = inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(X4))))),
    inference(transitivity,[status(thm)],[c121,c150]) ).

cnf(c152,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X6)),multiply(X2,inverse(X5)))))) = multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,X6)),multiply(X7,inverse(X5)))))),
    inference(congruence,[status(thm)],[c151]) ).

cnf(c153,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X7)),multiply(X3,inverse(X6))))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))))),
    inference(congruence,[status(thm)],[c152]) ).

cnf(c154,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8)))))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8)))))))),
    inference(congruence,[status(thm)],[c153]) ).

cnf(c155,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),multiply(inverse(multiply(X5,X9)),multiply(X5,inverse(X8))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(X10,X9)),multiply(X10,inverse(X8))))))))),
    inference(congruence,[status(thm)],[c154]) ).

cnf(c156,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),
    inference(congruence,[status(thm)],[c155]) ).

cnf(c157,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9))))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c157]) ).

cnf(c159,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(X6)))),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c160,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(X9))))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X9)))),
    inference(transitivity,[status(thm)],[c158,c159]) ).

cnf(c161,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,inverse(X4)))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,inverse(X4)))),
    inference(transitivity,[status(thm)],[c114,c160]) ).

cnf(c162,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))),
    inference(substitution,[status(thm)],[c161]) ).

cnf(c163,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))) = X6,
    inference(substitution,[status(thm)],[c78]) ).

cnf(c164,plain,
    multiply(X7,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2)))))))) = multiply(X7,X6),
    inference(congruence,[status(thm)],[c163]) ).

cnf(c165,plain,
    multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2))))))))) = multiply(inverse(multiply(X8,X7)),multiply(X8,X6)),
    inference(congruence,[status(thm)],[c164]) ).

cnf(c166,plain,
    multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X6,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),multiply(inverse(multiply(X8,X7)),multiply(X8,X6))),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X10)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(X9,X),inverse(X)),inverse(X2)))))))))) = multiply(inverse(multiply(inverse(multiply(X13,X12)),multiply(X12,X13))),multiply(inverse(multiply(X11,X10)),multiply(X11,X9))),
    inference(transitivity,[status(thm)],[c162,c166]) ).

cnf(c168,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(multiply(X,X5)),multiply(X,X4))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),
    inference(transitivity,[status(thm)],[c112,c167]) ).

cnf(c169,plain,
    multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X11,X12))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X6))),multiply(X2,inverse(multiply(multiply(X10,X),inverse(X))))))),X6)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X6))),multiply(X2,inverse(multiply(multiply(X10,X),inverse(X))))))),X6))) = multiply(inverse(multiply(inverse(multiply(X15,X14)),multiply(X14,X15))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(multiply(multiply(X13,X5),inverse(X5))))))),X6)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),multiply(inverse(multiply(X7,inverse(X6))),multiply(X7,inverse(multiply(multiply(X13,X5),inverse(X5))))))),X6))),
    inference(substitution,[status(thm)],[c168]) ).

cnf(c170,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2) = X6,
    inference(substitution,[status(thm)],[c98]) ).

cnf(c171,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6),
    inference(congruence,[status(thm)],[c170]) ).

cnf(c172,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6)),
    inference(congruence,[status(thm)],[c171]) ).

cnf(c173,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2) = X6,
    inference(substitution,[status(thm)],[c98]) ).

cnf(c174,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)) = inverse(X6),
    inference(congruence,[status(thm)],[c173]) ).

cnf(c175,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6) = multiply(inverse(X6),X6),
    inference(congruence,[status(thm)],[c174]) ).

cnf(c176,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),X6)) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)),
    inference(congruence,[status(thm)],[c175]) ).

cnf(c177,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(X6,X),inverse(X))))))),X2))) = multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(X6),X6)),
    inference(transitivity,[status(thm)],[c172,c176]) ).

cnf(c178,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5))) = multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(X9),X9)),
    inference(transitivity,[status(thm)],[c169,c177]) ).

cnf(c179,plain,
    multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,inverse(X5))),multiply(X2,inverse(multiply(multiply(X6,X),inverse(X))))))),X5)),X6)) = multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X10,X11))),multiply(inverse(X9),X9)),
    inference(transitivity,[status(thm)],[c107,c178]) ).

cnf(c180,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(X4),X4)),
    inference(transitivity,[status(thm)],[c103,c179]) ).

cnf(c181,plain,
    multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)) = multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(X),X)),
    inference(substitution,[status(thm)],[c180]) ).

cnf(c182,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(congruence,[status(thm)],[c181]) ).

cnf(c183,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X2),inverse(X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c184,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X2),inverse(X2)),
    inference(symmetry,[status(thm)],[c183]) ).

cnf(c185,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),multiply(inverse(X),X)),inverse(multiply(inverse(X),X))) = multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c182,c184]) ).

cnf(c186,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c89,c185]) ).

cnf(c187,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c186]) ).

cnf(c188,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),X),inverse(X)),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X2),inverse(X2)),inverse(X3)),
    inference(congruence,[status(thm)],[c187]) ).

cnf(c189,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),X),inverse(X)),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X2),inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c188]) ).

cnf(c190,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c189]) ).

cnf(c191,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c190]) ).

cnf(c192,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c191]) ).

cnf(c193,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X10,X9)),multiply(X9,X10))),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c195,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))),
    inference(transitivity,[status(thm)],[c193,c194]) ).

cnf(c196,plain,
    inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),
    inference(transitivity,[status(thm)],[c88,c195]) ).

cnf(c197,plain,
    multiply(X,inverse(multiply(inverse(multiply(X3,X2)),multiply(X2,X3)))) = multiply(X,inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5)))),
    inference(congruence,[status(thm)],[c196]) ).

cnf(c198,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))))),
    inference(congruence,[status(thm)],[c197]) ).

cnf(c199,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8)))))),
    inference(congruence,[status(thm)],[c198]) ).

cnf(c200,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(multiply(X8,X7)),multiply(X7,X8))))))),
    inference(congruence,[status(thm)],[c199]) ).

cnf(c201,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),
    inference(congruence,[status(thm)],[c200]) ).

cnf(c202,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c201]) ).

cnf(c203,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X9,X8)),multiply(X8,X9))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c202]) ).

cnf(c204,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X7,X6)),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c205,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(multiply(X7,X6)),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(multiply(X9,X8)),multiply(X8,X9)),
    inference(transitivity,[status(thm)],[c203,c204]) ).

cnf(c206,plain,
    multiply(inverse(multiply(X2,X)),multiply(X,X2)) = multiply(inverse(multiply(X4,X3)),multiply(X3,X4)),
    inference(transitivity,[status(thm)],[c86,c205]) ).

cnf(c207,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X3,X4)) = multiply(inverse(multiply(X,X2)),multiply(X2,X)),
    inference(substitution,[status(thm)],[c206]) ).

cnf(c208,plain,
    multiply(multiply(inverse(multiply(X4,X3)),multiply(X3,X4)),inverse(multiply(X2,X))) = multiply(multiply(inverse(multiply(X,X2)),multiply(X2,X)),inverse(multiply(X2,X))),
    inference(congruence,[status(thm)],[c207]) ).

cnf(c209,plain,
    multiply(multiply(inverse(multiply(X2,X3)),X),inverse(X)) = multiply(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c210,plain,
    multiply(multiply(inverse(multiply(X2,X3)),multiply(X3,X2)),inverse(multiply(X3,X2))) = multiply(multiply(inverse(multiply(X2,X3)),X),inverse(X)),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c211,plain,
    multiply(multiply(inverse(multiply(X5,X4)),multiply(X4,X5)),inverse(multiply(X3,X2))) = multiply(multiply(inverse(multiply(X2,X3)),X),inverse(X)),
    inference(transitivity,[status(thm)],[c208,c210]) ).

cnf(c212,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X5,X4),inverse(X4)))) = multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X3),inverse(X3)),
    inference(substitution,[status(thm)],[c211]) ).

cnf(c213,plain,
    multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X3),inverse(X3)) = multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X5,X4),inverse(X4)))),
    inference(symmetry,[status(thm)],[c212]) ).

cnf(c214,plain,
    multiply(multiply(X2,X),inverse(X)) = multiply(multiply(X2,X3),inverse(X3)),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c215,plain,
    inverse(multiply(multiply(X2,X),inverse(X))) = inverse(multiply(multiply(X2,X3),inverse(X3))),
    inference(congruence,[status(thm)],[c214]) ).

cnf(c216,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X3),inverse(X3)))) = multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X5),inverse(X5)))),
    inference(congruence,[status(thm)],[c215]) ).

cnf(c217,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X4,X5),inverse(X5)))) = multiply(multiply(inverse(multiply(inverse(X5),multiply(X4,X5))),X3),inverse(X3)),
    inference(substitution,[status(thm)],[c211]) ).

cnf(c218,plain,
    multiply(multiply(inverse(multiply(X2,X)),multiply(X,X2)),inverse(multiply(multiply(X5,X3),inverse(X3)))) = multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X4),inverse(X4)),
    inference(transitivity,[status(thm)],[c216,c217]) ).

cnf(c219,plain,
    multiply(multiply(inverse(multiply(inverse(X2),multiply(X4,X2))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X5),multiply(X4,X5))),X3),inverse(X3)),
    inference(transitivity,[status(thm)],[c213,c218]) ).

cnf(c220,plain,
    multiply(multiply(inverse(multiply(inverse(X3),multiply(X4,X3))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X5),multiply(X4,X5))),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c219]) ).

cnf(c221,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X),inverse(X)),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X2),inverse(X2)),inverse(X3)),
    inference(congruence,[status(thm)],[c220]) ).

cnf(c222,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(X4),multiply(X5,X4))),X),inverse(X)),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X5,X6))),X2),inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c221]) ).

cnf(c223,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(X6,X5))),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c222]) ).

cnf(c224,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(X6,X5))),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c223]) ).

cnf(c225,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X8,X7))),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X9),multiply(X8,X9))),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X8,X7))),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X9),multiply(X8,X9))),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),multiply(X6,X7))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X7),multiply(X6,X7))),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c228,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),multiply(X7,X6))),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X8),multiply(X7,X8))),
    inference(transitivity,[status(thm)],[c226,c227]) ).

cnf(c229,plain,
    inverse(multiply(inverse(X),multiply(X2,X))) = inverse(multiply(inverse(X3),multiply(X2,X3))),
    inference(transitivity,[status(thm)],[c84,c228]) ).

cnf(c230,plain,
    multiply(X,inverse(multiply(inverse(X2),multiply(X3,X2)))) = multiply(X,inverse(multiply(inverse(X4),multiply(X3,X4)))),
    inference(congruence,[status(thm)],[c229]) ).

cnf(c231,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X3),multiply(X4,X3))))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),multiply(X4,X5))))),
    inference(congruence,[status(thm)],[c230]) ).

cnf(c232,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),multiply(X6,X5)))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X7),multiply(X6,X7)))))),
    inference(congruence,[status(thm)],[c231]) ).

cnf(c233,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),multiply(X6,X5))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X7),multiply(X6,X7))))))),
    inference(congruence,[status(thm)],[c232]) ).

cnf(c234,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),
    inference(congruence,[status(thm)],[c233]) ).

cnf(c235,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X8),multiply(X7,X8))))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c235]) ).

cnf(c237,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X7),multiply(X6,X7))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X7),multiply(X6,X7)),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c238,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),multiply(X7,X6))))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X8),multiply(X7,X8)),
    inference(transitivity,[status(thm)],[c236,c237]) ).

cnf(c239,plain,
    multiply(inverse(X),multiply(X2,X)) = multiply(inverse(X3),multiply(X2,X3)),
    inference(transitivity,[status(thm)],[c82,c238]) ).

cnf(c240,plain,
    multiply(inverse(X3),multiply(X2,X3)) = multiply(inverse(X),multiply(X2,X)),
    inference(substitution,[status(thm)],[c239]) ).

cnf(c241,plain,
    multiply(multiply(inverse(X3),multiply(X2,X3)),inverse(multiply(X2,X))) = multiply(multiply(inverse(X),multiply(X2,X)),inverse(multiply(X2,X))),
    inference(congruence,[status(thm)],[c240]) ).

cnf(c242,plain,
    multiply(multiply(inverse(X2),X),inverse(X)) = multiply(multiply(inverse(X2),multiply(X3,X2)),inverse(multiply(X3,X2))),
    inference(substitution,[status(thm)],[c57]) ).

cnf(c243,plain,
    multiply(multiply(inverse(X2),multiply(X3,X2)),inverse(multiply(X3,X2))) = multiply(multiply(inverse(X2),X),inverse(X)),
    inference(symmetry,[status(thm)],[c242]) ).

cnf(c244,plain,
    multiply(multiply(inverse(X4),multiply(X3,X4)),inverse(multiply(X3,X2))) = multiply(multiply(inverse(X2),X),inverse(X)),
    inference(transitivity,[status(thm)],[c241,c243]) ).

cnf(c245,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))) = multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)),
    inference(substitution,[status(thm)],[c244]) ).

cnf(c246,plain,
    multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))),
    inference(symmetry,[status(thm)],[c245]) ).

cnf(c247,plain,
    multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)) = multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X3),X3)),
    inference(substitution,[status(thm)],[c180]) ).

cnf(c248,plain,
    multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)),
    inference(symmetry,[status(thm)],[c247]) ).

cnf(c249,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4))),
    inference(congruence,[status(thm)],[c248]) ).

cnf(c250,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))),
    inference(congruence,[status(thm)],[c249]) ).

cnf(c251,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X5),X5)))) = multiply(multiply(inverse(multiply(inverse(X5),X5)),X4),inverse(X4)),
    inference(substitution,[status(thm)],[c244]) ).

cnf(c252,plain,
    multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),X3)),inverse(multiply(inverse(multiply(inverse(multiply(X2,X)),multiply(X,X2))),multiply(inverse(X4),X4)))) = multiply(multiply(inverse(multiply(inverse(X6),X6)),X5),inverse(X5)),
    inference(transitivity,[status(thm)],[c250,c251]) ).

cnf(c253,plain,
    multiply(multiply(inverse(multiply(inverse(X2),X2)),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X4),X4)),X3),inverse(X3)),
    inference(transitivity,[status(thm)],[c246,c252]) ).

cnf(c254,plain,
    multiply(multiply(inverse(multiply(inverse(X3),X3)),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(X4),X4)),X2),inverse(X2)),
    inference(substitution,[status(thm)],[c253]) ).

cnf(c255,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(X4),X4)),X),inverse(X)),inverse(X3)) = multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X2),inverse(X2)),inverse(X3)),
    inference(congruence,[status(thm)],[c254]) ).

cnf(c256,plain,
    inverse(multiply(multiply(multiply(inverse(multiply(inverse(X4),X4)),X),inverse(X)),inverse(X3))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X2),inverse(X2)),inverse(X3))),
    inference(congruence,[status(thm)],[c255]) ).

cnf(c257,plain,
    multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X),inverse(X)),inverse(X3)))) = multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X2),inverse(X2)),inverse(X3)))),
    inference(congruence,[status(thm)],[c256]) ).

cnf(c258,plain,
    multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),X5)),X),inverse(X)),inverse(X3))))) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X2),inverse(X2)),inverse(X3))))),
    inference(congruence,[status(thm)],[c257]) ).

cnf(c259,plain,
    multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),X7)),X),inverse(X)),inverse(X3)))))) = multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),X8)),X2),inverse(X2)),inverse(X3)))))),
    inference(congruence,[status(thm)],[c258]) ).

cnf(c260,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X7),X7)),X),inverse(X)),inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X5,X6))),multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),X8)),X2),inverse(X2)),inverse(X3))))))),
    inference(congruence,[status(thm)],[c259]) ).

cnf(c261,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X6),X6)),
    inference(substitution,[status(thm)],[c78]) ).

cnf(c262,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X6),X6)),X),inverse(X)),inverse(X2))))))) = inverse(multiply(inverse(X7),X7)),
    inference(transitivity,[status(thm)],[c260,c261]) ).

cnf(c263,plain,
    inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(X2),X2)),
    inference(transitivity,[status(thm)],[c80,c262]) ).

cnf(c264,plain,
    multiply(X,inverse(multiply(inverse(X2),X2))) = multiply(X,inverse(multiply(inverse(X3),X3))),
    inference(congruence,[status(thm)],[c263]) ).

cnf(c265,plain,
    multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X4),X4)))),
    inference(congruence,[status(thm)],[c264]) ).

cnf(c266,plain,
    multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),X5))))) = multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X6),X6))))),
    inference(congruence,[status(thm)],[c265]) ).

cnf(c267,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X5),X5)))))) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X3,X4))),multiply(inverse(multiply(X2,X)),multiply(X2,inverse(multiply(inverse(X6),X6)))))),
    inference(congruence,[status(thm)],[c266]) ).

cnf(c268,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X7),X7)))))),X),
    inference(congruence,[status(thm)],[c267]) ).

cnf(c269,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X7),X7)))))),X),inverse(X)),
    inference(congruence,[status(thm)],[c268]) ).

cnf(c270,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X7),X7)))))),X),inverse(X)),inverse(X2)),
    inference(congruence,[status(thm)],[c269]) ).

cnf(c271,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X6),X6),
    inference(substitution,[status(thm)],[c34]) ).

cnf(c272,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X4,X5))),multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X6),X6)))))),X),inverse(X)),inverse(X2)) = multiply(inverse(X7),X7),
    inference(transitivity,[status(thm)],[c270,c271]) ).

cnf(c273,plain,
    multiply(inverse(X),X) = multiply(inverse(X2),X2),
    inference(transitivity,[status(thm)],[c36,c272]) ).

cnf(c274,plain,
    multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
    inference(substitution,[status(thm)],[c273]) ).

cnf(c275,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP505-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 10:09:30 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54  Command-line arguments: --no-flatten-goal
% 0.18/0.54  
% 0.18/0.54  % SZS status Unsatisfiable
% 0.18/0.54  
% 0.18/0.57  % SZS output start CNFRefutation
% See solution above
% 2.11/0.77  
% 2.11/0.77  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------