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Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP516-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 10:11:08 AM UTC 2026

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   98 (  98 unt;   0 nHn;   4 RR)
%            Number of literals    :   98 (  97 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   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   :  284 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c2,axiom,
    multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c3,plain,
    multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X)))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    X2 = multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X)))),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    inverse(X2) = inverse(multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X))))),
    inference(congruence,[status(thm)],[c4]) ).

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

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

cnf(c8,plain,
    multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X)))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c9,plain,
    X3 = multiply(X,multiply(multiply(X3,X2),inverse(multiply(X,X2)))),
    inference(symmetry,[status(thm)],[c8]) ).

cnf(c10,plain,
    multiply(X3,inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2)))))) = multiply(multiply(X,multiply(multiply(X3,X2),inverse(multiply(X,X2)))),inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2)))))),
    inference(congruence,[status(thm)],[c9]) ).

cnf(c11,plain,
    multiply(X4,multiply(X3,inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2))))))) = multiply(X4,multiply(multiply(X,multiply(multiply(X3,X2),inverse(multiply(X,X2)))),inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2))))))),
    inference(congruence,[status(thm)],[c10]) ).

cnf(c12,plain,
    multiply(X4,multiply(multiply(X,multiply(multiply(X3,X2),inverse(multiply(X,X2)))),inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2))))))) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c13,plain,
    multiply(X4,multiply(X3,inverse(multiply(X4,multiply(multiply(X3,X2),inverse(multiply(X,X2))))))) = X,
    inference(transitivity,[status(thm)],[c11,c12]) ).

cnf(c14,plain,
    multiply(X3,multiply(X2,inverse(multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X))))))) = X3,
    inference(substitution,[status(thm)],[c13]) ).

cnf(c15,plain,
    multiply(X2,multiply(X,inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c7,c14]) ).

cnf(c16,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c17,plain,
    inverse(X2) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c16]) ).

cnf(c18,plain,
    multiply(X2,inverse(X3)) = multiply(X2,inverse(multiply(X3,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c17]) ).

cnf(c19,plain,
    multiply(X3,multiply(X2,inverse(X3))) = multiply(X3,multiply(X2,inverse(multiply(X3,multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c18]) ).

cnf(c20,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c21,plain,
    multiply(X2,inverse(multiply(X3,multiply(X,inverse(X))))) = multiply(multiply(X2,multiply(X,inverse(X))),inverse(multiply(X3,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c20]) ).

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

cnf(c23,plain,
    multiply(X3,multiply(multiply(X2,multiply(X,inverse(X))),inverse(multiply(X3,multiply(X,inverse(X)))))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c24,plain,
    multiply(X3,multiply(X2,inverse(multiply(X3,multiply(X,inverse(X)))))) = X2,
    inference(transitivity,[status(thm)],[c22,c23]) ).

cnf(c25,plain,
    multiply(X2,multiply(X,inverse(X2))) = X,
    inference(transitivity,[status(thm)],[c19,c24]) ).

cnf(c26,plain,
    multiply(X,multiply(multiply(X2,X),inverse(X))) = multiply(X2,X),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c27,plain,
    multiply(X2,X) = multiply(X,multiply(multiply(X2,X),inverse(X))),
    inference(symmetry,[status(thm)],[c26]) ).

cnf(c28,plain,
    multiply(multiply(X3,X),multiply(multiply(X2,X),inverse(multiply(X3,X)))) = multiply(X2,X),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c29,plain,
    multiply(X2,X) = multiply(multiply(X3,X),multiply(multiply(X2,X),inverse(multiply(X3,X)))),
    inference(symmetry,[status(thm)],[c28]) ).

cnf(c30,plain,
    multiply(multiply(X2,X),inverse(X2)) = multiply(multiply(multiply(X3,X),multiply(multiply(X2,X),inverse(multiply(X3,X)))),inverse(X2)),
    inference(congruence,[status(thm)],[c29]) ).

cnf(c31,plain,
    multiply(X3,multiply(multiply(X2,X),inverse(X2))) = multiply(X3,multiply(multiply(multiply(X3,X),multiply(multiply(X2,X),inverse(multiply(X3,X)))),inverse(X2))),
    inference(congruence,[status(thm)],[c30]) ).

cnf(c32,plain,
    multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X)))) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c33,plain,
    X2 = multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X)))),
    inference(symmetry,[status(thm)],[c32]) ).

cnf(c34,plain,
    inverse(X2) = inverse(multiply(X3,multiply(multiply(X2,X),inverse(multiply(X3,X))))),
    inference(congruence,[status(thm)],[c33]) ).

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

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

cnf(c37,plain,
    multiply(X4,multiply(multiply(X3,multiply(multiply(X2,X),inverse(multiply(X4,X)))),inverse(multiply(X4,multiply(multiply(X2,X),inverse(multiply(X4,X))))))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c38,plain,
    multiply(X4,multiply(multiply(X3,multiply(multiply(X2,X),inverse(multiply(X4,X)))),inverse(X2))) = X3,
    inference(transitivity,[status(thm)],[c36,c37]) ).

cnf(c39,plain,
    multiply(X3,multiply(multiply(multiply(X3,X),multiply(multiply(X2,X),inverse(multiply(X3,X)))),inverse(X2))) = multiply(X3,X),
    inference(substitution,[status(thm)],[c38]) ).

cnf(c40,plain,
    multiply(X3,multiply(multiply(X2,X),inverse(X2))) = multiply(X3,X),
    inference(transitivity,[status(thm)],[c31,c39]) ).

cnf(c41,plain,
    multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),multiply(multiply(X2,X),inverse(X2))) = multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),X),
    inference(substitution,[status(thm)],[c40]) ).

cnf(c42,plain,
    multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),X) = multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),multiply(multiply(X2,X),inverse(X2))),
    inference(symmetry,[status(thm)],[c41]) ).

cnf(c43,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c44,plain,
    inverse(X2) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c43]) ).

cnf(c45,plain,
    multiply(X3,inverse(X2)) = multiply(X3,inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c44]) ).

cnf(c46,plain,
    multiply(X4,multiply(X3,inverse(X2))) = multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    inverse(multiply(X4,multiply(X3,inverse(X2)))) = inverse(multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X))))))),
    inference(congruence,[status(thm)],[c46]) ).

cnf(c48,plain,
    multiply(X3,inverse(multiply(X4,multiply(X3,inverse(X2))))) = multiply(X3,inverse(multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X)))))))),
    inference(congruence,[status(thm)],[c47]) ).

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

cnf(c50,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c51,plain,
    multiply(X3,inverse(multiply(X2,multiply(X,inverse(X))))) = multiply(multiply(X3,multiply(X,inverse(X))),inverse(multiply(X2,multiply(X,inverse(X))))),
    inference(congruence,[status(thm)],[c50]) ).

cnf(c52,plain,
    multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X)))))) = multiply(X4,multiply(multiply(X3,multiply(X,inverse(X))),inverse(multiply(X2,multiply(X,inverse(X)))))),
    inference(congruence,[status(thm)],[c51]) ).

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

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

cnf(c55,plain,
    multiply(X4,multiply(X3,inverse(multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X))))))))) = multiply(X4,multiply(X3,inverse(multiply(X4,multiply(multiply(X3,multiply(X,inverse(X))),inverse(multiply(X2,multiply(X,inverse(X))))))))),
    inference(congruence,[status(thm)],[c54]) ).

cnf(c56,plain,
    multiply(X4,multiply(X3,inverse(multiply(X4,multiply(multiply(X3,multiply(X,inverse(X))),inverse(multiply(X2,multiply(X,inverse(X))))))))) = X2,
    inference(substitution,[status(thm)],[c13]) ).

cnf(c57,plain,
    multiply(X4,multiply(X3,inverse(multiply(X4,multiply(X3,inverse(multiply(X2,multiply(X,inverse(X))))))))) = X2,
    inference(transitivity,[status(thm)],[c55,c56]) ).

cnf(c58,plain,
    multiply(X3,multiply(X2,inverse(multiply(X3,multiply(X2,inverse(X)))))) = X,
    inference(transitivity,[status(thm)],[c49,c57]) ).

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

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

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

cnf(c62,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

cnf(c63,plain,
    inverse(X2) = inverse(multiply(X2,multiply(X,inverse(X)))),
    inference(congruence,[status(thm)],[c62]) ).

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

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

cnf(c66,plain,
    multiply(multiply(X3,multiply(X2,inverse(X4))),inverse(X2)) = multiply(multiply(X3,multiply(X2,inverse(multiply(X4,multiply(X,inverse(X)))))),inverse(X2)),
    inference(congruence,[status(thm)],[c65]) ).

cnf(c67,plain,
    multiply(X4,multiply(multiply(X3,multiply(X2,inverse(X4))),inverse(X2))) = multiply(X4,multiply(multiply(X3,multiply(X2,inverse(multiply(X4,multiply(X,inverse(X)))))),inverse(X2))),
    inference(congruence,[status(thm)],[c66]) ).

cnf(c68,plain,
    X2 = multiply(X2,multiply(X,inverse(X))),
    inference(symmetry,[status(thm)],[c15]) ).

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

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

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

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

cnf(c73,plain,
    multiply(X4,multiply(multiply(X3,multiply(multiply(X2,multiply(X,inverse(X))),inverse(multiply(X4,multiply(X,inverse(X)))))),inverse(X2))) = X3,
    inference(substitution,[status(thm)],[c38]) ).

cnf(c74,plain,
    multiply(X4,multiply(multiply(X3,multiply(X2,inverse(multiply(X4,multiply(X,inverse(X)))))),inverse(X2))) = X3,
    inference(transitivity,[status(thm)],[c72,c73]) ).

cnf(c75,plain,
    multiply(X3,multiply(multiply(X2,multiply(X,inverse(X3))),inverse(X))) = X2,
    inference(transitivity,[status(thm)],[c67,c74]) ).

cnf(c76,plain,
    multiply(multiply(X3,multiply(X2,inverse(X))),multiply(multiply(X3,multiply(X2,inverse(multiply(X3,multiply(X2,inverse(X)))))),inverse(X2))) = X3,
    inference(substitution,[status(thm)],[c75]) ).

cnf(c77,plain,
    multiply(multiply(X3,multiply(X2,inverse(X))),multiply(X,inverse(X2))) = X3,
    inference(transitivity,[status(thm)],[c61,c76]) ).

cnf(c78,plain,
    multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),multiply(multiply(X2,X),inverse(X2))) = X3,
    inference(substitution,[status(thm)],[c77]) ).

cnf(c79,plain,
    multiply(multiply(X3,multiply(X2,inverse(multiply(X2,X)))),X) = X3,
    inference(transitivity,[status(thm)],[c42,c78]) ).

cnf(c80,plain,
    multiply(multiply(X,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X2))))),inverse(X2)) = X,
    inference(substitution,[status(thm)],[c79]) ).

cnf(c81,plain,
    X = multiply(multiply(X,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X2))))),inverse(X2)),
    inference(symmetry,[status(thm)],[c80]) ).

cnf(c82,plain,
    multiply(multiply(X2,inverse(X2)),X) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X2))))),inverse(X2))),
    inference(congruence,[status(thm)],[c81]) ).

cnf(c83,plain,
    multiply(multiply(X2,inverse(X2)),multiply(multiply(X,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X2))))),inverse(X2))) = X,
    inference(substitution,[status(thm)],[c38]) ).

cnf(c84,plain,
    multiply(multiply(X2,inverse(X2)),X) = X,
    inference(transitivity,[status(thm)],[c82,c83]) ).

cnf(c85,plain,
    multiply(multiply(X,inverse(X)),X2) = X2,
    inference(substitution,[status(thm)],[c84]) ).

cnf(c86,plain,
    X2 = multiply(multiply(X,inverse(X)),X2),
    inference(symmetry,[status(thm)],[c85]) ).

cnf(c87,plain,
    inverse(X2) = inverse(multiply(multiply(X,inverse(X)),X2)),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    multiply(multiply(X3,X2),inverse(X2)) = multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2))),
    inference(congruence,[status(thm)],[c87]) ).

cnf(c89,plain,
    multiply(multiply(X,inverse(X)),multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2)))) = multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2))),
    inference(substitution,[status(thm)],[c84]) ).

cnf(c90,plain,
    multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2))) = multiply(multiply(X,inverse(X)),multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2)))),
    inference(symmetry,[status(thm)],[c89]) ).

cnf(c91,plain,
    multiply(multiply(X,inverse(X)),multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2)))) = X3,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c92,plain,
    multiply(multiply(X3,X2),inverse(multiply(multiply(X,inverse(X)),X2))) = X3,
    inference(transitivity,[status(thm)],[c90,c91]) ).

cnf(c93,plain,
    multiply(multiply(X2,X),inverse(X)) = X2,
    inference(transitivity,[status(thm)],[c88,c92]) ).

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

cnf(c95,plain,
    multiply(X2,X) = multiply(X,X2),
    inference(transitivity,[status(thm)],[c27,c94]) ).

cnf(c96,plain,
    multiply(b,a) = multiply(a,b),
    inference(substitution,[status(thm)],[c95]) ).

cnf(c97,plain,
    multiply(a,b) = multiply(b,a),
    inference(symmetry,[status(thm)],[c96]) ).

cnf(c98,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP516-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  % Computer : n020.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 10:07:18 UTC 2026
% 0.16/0.39  % CPUTime  : 
% 0.16/0.39  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.21/0.52  
% 0.21/0.52  % SZS status Unsatisfiable
% 0.21/0.52  
% 0.21/0.53  % SZS output start CNFRefutation
% See solution above
% 0.21/0.58  
% 0.21/0.58  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------