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Twee---2.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : GRP660-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 10:11:36 AM UTC 2026

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :    6
% Syntax   : Number of clauses     :  243 ( 243 unt;   0 nHn;   3 RR)
%            Number of literals    :  243 ( 242 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  502 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
    mult(rd(x1,x1),x0) != x0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c2,axiom,
    mult(A,ld(A,B)) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

cnf(c3,plain,
    mult(rd(X,X),ld(rd(X,X),X2)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c4,plain,
    X2 = mult(rd(X,X),ld(rd(X,X),X2)),
    inference(symmetry,[status(thm)],[c3]) ).

cnf(c5,plain,
    rd(X2,rd(X,X)) = rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)),
    inference(congruence,[status(thm)],[c4]) ).

cnf(c6,axiom,
    mult(mult(mult(A2,B2),C),A2) = mult(A2,mult(B2,mult(C,A2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

cnf(c7,plain,
    mult(mult(mult(X2,X),X3),X2) = mult(X2,mult(X,mult(X3,X2))),
    inference(substitution,[status(thm)],[c6]) ).

cnf(c8,plain,
    mult(X3,mult(X2,mult(X,X3))) = mult(mult(mult(X3,X2),X),X3),
    inference(symmetry,[status(thm)],[c7]) ).

cnf(c9,plain,
    rd(mult(X3,mult(X2,mult(X,X3))),X3) = rd(mult(mult(mult(X3,X2),X),X3),X3),
    inference(congruence,[status(thm)],[c8]) ).

cnf(c10,axiom,
    rd(mult(A2,B2),B2) = A2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

cnf(c11,plain,
    rd(mult(mult(mult(X3,X2),X),X3),X3) = mult(mult(X3,X2),X),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c12,plain,
    rd(mult(X3,mult(X2,mult(X,X3))),X3) = mult(mult(X3,X2),X),
    inference(transitivity,[status(thm)],[c9,c11]) ).

cnf(c13,plain,
    rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3) = mult(mult(X3,rd(X2,mult(X,X3))),X),
    inference(substitution,[status(thm)],[c12]) ).

cnf(c14,plain,
    mult(mult(X3,rd(X2,mult(X,X3))),X) = rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3),
    inference(symmetry,[status(thm)],[c13]) ).

cnf(c15,axiom,
    mult(rd(A2,B2),B2) = A2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

cnf(c16,plain,
    mult(rd(X2,mult(X,X3)),mult(X,X3)) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c17,plain,
    mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))) = mult(X3,X2),
    inference(congruence,[status(thm)],[c16]) ).

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

cnf(c19,plain,
    mult(mult(X3,rd(X2,mult(X,X3))),X) = rd(mult(X3,X2),X3),
    inference(transitivity,[status(thm)],[c14,c18]) ).

cnf(c20,plain,
    mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
    inference(substitution,[status(thm)],[c19]) ).

cnf(c21,plain,
    rd(mult(rd(X2,X2),X),rd(X2,X2)) = mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)),
    inference(symmetry,[status(thm)],[c20]) ).

cnf(c22,plain,
    rd(mult(rd(ld(X,X),rd(X,X)),X),X) = rd(ld(X,X),rd(X,X)),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c23,plain,
    rd(ld(X,X),rd(X,X)) = rd(mult(rd(ld(X,X),rd(X,X)),X),X),
    inference(symmetry,[status(thm)],[c22]) ).

cnf(c24,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c25,plain,
    X2 = mult(rd(X2,X),X),
    inference(symmetry,[status(thm)],[c24]) ).

cnf(c26,plain,
    rd(X2,rd(X2,X)) = rd(mult(rd(X2,X),X),rd(X2,X)),
    inference(congruence,[status(thm)],[c25]) ).

cnf(c27,plain,
    ld(X2,rd(X2,rd(X2,X))) = ld(X2,rd(mult(rd(X2,X),X),rd(X2,X))),
    inference(congruence,[status(thm)],[c26]) ).

cnf(c28,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c29,plain,
    X = mult(X2,ld(X2,X)),
    inference(symmetry,[status(thm)],[c28]) ).

cnf(c30,plain,
    mult(rd(X3,X2),X) = mult(rd(X3,X2),mult(X2,ld(X2,X))),
    inference(congruence,[status(thm)],[c29]) ).

cnf(c31,plain,
    rd(mult(rd(X3,X2),X),rd(X3,X2)) = rd(mult(rd(X3,X2),mult(X2,ld(X2,X))),rd(X3,X2)),
    inference(congruence,[status(thm)],[c30]) ).

cnf(c32,plain,
    mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))),
    inference(substitution,[status(thm)],[c6]) ).

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

cnf(c34,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c35,plain,
    mult(mult(rd(X3,X2),X2),X) = mult(X3,X),
    inference(congruence,[status(thm)],[c34]) ).

cnf(c36,plain,
    mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)) = mult(mult(X3,X),rd(X3,X2)),
    inference(congruence,[status(thm)],[c35]) ).

cnf(c37,plain,
    mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))) = mult(mult(X3,X),rd(X3,X2)),
    inference(transitivity,[status(thm)],[c33,c36]) ).

cnf(c38,plain,
    mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))) = mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)),
    inference(substitution,[status(thm)],[c37]) ).

cnf(c39,plain,
    mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)) = mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))),
    inference(symmetry,[status(thm)],[c38]) ).

cnf(c40,plain,
    mult(rd(X2,rd(X3,X)),rd(X3,X)) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c41,plain,
    mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X))) = mult(X,X2),
    inference(congruence,[status(thm)],[c40]) ).

cnf(c42,plain,
    mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))) = mult(rd(X3,X),mult(X,X2)),
    inference(congruence,[status(thm)],[c41]) ).

cnf(c43,plain,
    mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)) = mult(rd(X3,X),mult(X,X2)),
    inference(transitivity,[status(thm)],[c39,c42]) ).

cnf(c44,plain,
    mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,X)),
    inference(substitution,[status(thm)],[c43]) ).

cnf(c45,plain,
    mult(rd(X3,X2),mult(X2,X)) = mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),
    inference(symmetry,[status(thm)],[c44]) ).

cnf(c46,plain,
    rd(mult(rd(X3,X2),mult(X2,X)),rd(X3,X2)) = rd(mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),rd(X3,X2)),
    inference(congruence,[status(thm)],[c45]) ).

cnf(c47,plain,
    rd(mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),rd(X3,X2)) = mult(X3,rd(X,rd(X3,X2))),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c48,plain,
    rd(mult(rd(X3,X2),mult(X2,X)),rd(X3,X2)) = mult(X3,rd(X,rd(X3,X2))),
    inference(transitivity,[status(thm)],[c46,c47]) ).

cnf(c49,plain,
    rd(mult(rd(X3,X2),mult(X2,ld(X2,X))),rd(X3,X2)) = mult(X3,rd(ld(X2,X),rd(X3,X2))),
    inference(substitution,[status(thm)],[c48]) ).

cnf(c50,plain,
    rd(mult(rd(X3,X2),X),rd(X3,X2)) = mult(X3,rd(ld(X2,X),rd(X3,X2))),
    inference(transitivity,[status(thm)],[c31,c49]) ).

cnf(c51,plain,
    ld(X3,rd(mult(rd(X3,X2),X),rd(X3,X2))) = ld(X3,mult(X3,rd(ld(X2,X),rd(X3,X2)))),
    inference(congruence,[status(thm)],[c50]) ).

cnf(c52,axiom,
    ld(A2,mult(A2,B2)) = B2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

cnf(c53,plain,
    ld(X3,mult(X3,rd(ld(X2,X),rd(X3,X2)))) = rd(ld(X2,X),rd(X3,X2)),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c54,plain,
    ld(X3,rd(mult(rd(X3,X2),X),rd(X3,X2))) = rd(ld(X2,X),rd(X3,X2)),
    inference(transitivity,[status(thm)],[c51,c53]) ).

cnf(c55,plain,
    ld(X2,rd(mult(rd(X2,X),X),rd(X2,X))) = rd(ld(X,X),rd(X2,X)),
    inference(substitution,[status(thm)],[c54]) ).

cnf(c56,plain,
    ld(X2,rd(X2,rd(X2,X))) = rd(ld(X,X),rd(X2,X)),
    inference(transitivity,[status(thm)],[c27,c55]) ).

cnf(c57,plain,
    ld(X,rd(X,rd(X,X))) = rd(ld(X,X),rd(X,X)),
    inference(substitution,[status(thm)],[c56]) ).

cnf(c58,plain,
    rd(ld(X,X),rd(X,X)) = ld(X,rd(X,rd(X,X))),
    inference(symmetry,[status(thm)],[c57]) ).

cnf(c59,plain,
    mult(rd(ld(X,X),rd(X,X)),X) = mult(ld(X,rd(X,rd(X,X))),X),
    inference(congruence,[status(thm)],[c58]) ).

cnf(c60,plain,
    mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(X,rd(X2,X2)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c61,plain,
    mult(X,rd(X2,X2)) = mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),
    inference(symmetry,[status(thm)],[c60]) ).

cnf(c62,plain,
    mult(mult(X,rd(X2,X2)),X2) = mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2),
    inference(congruence,[status(thm)],[c61]) ).

cnf(c63,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c64,plain,
    X = mult(X2,ld(X2,X)),
    inference(symmetry,[status(thm)],[c63]) ).

cnf(c65,plain,
    mult(X,rd(X2,X3)) = mult(mult(X2,ld(X2,X)),rd(X2,X3)),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    ld(rd(X2,X3),mult(X,rd(X2,X3))) = ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))),
    inference(congruence,[status(thm)],[c65]) ).

cnf(c67,plain,
    mult(mult(X3,X),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))),
    inference(symmetry,[status(thm)],[c37]) ).

cnf(c68,plain,
    ld(rd(X3,X2),mult(mult(X3,X),rd(X3,X2))) = ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2))))),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2))))) = mult(X2,mult(X,rd(X3,X2))),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c70,plain,
    ld(rd(X3,X2),mult(mult(X3,X),rd(X3,X2))) = mult(X2,mult(X,rd(X3,X2))),
    inference(transitivity,[status(thm)],[c68,c69]) ).

cnf(c71,plain,
    ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))) = mult(X3,mult(ld(X2,X),rd(X2,X3))),
    inference(substitution,[status(thm)],[c70]) ).

cnf(c72,plain,
    ld(rd(X2,X3),mult(X,rd(X2,X3))) = mult(X3,mult(ld(X2,X),rd(X2,X3))),
    inference(transitivity,[status(thm)],[c66,c71]) ).

cnf(c73,plain,
    ld(rd(X2,X2),mult(X,rd(X2,X2))) = mult(X2,mult(ld(X2,X),rd(X2,X2))),
    inference(substitution,[status(thm)],[c72]) ).

cnf(c74,plain,
    mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),
    inference(congruence,[status(thm)],[c73]) ).

cnf(c75,plain,
    mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2) = mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(X2,X)),
    inference(substitution,[status(thm)],[c43]) ).

cnf(c77,plain,
    mult(rd(X2,X2),mult(X2,X)) = mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),
    inference(symmetry,[status(thm)],[c76]) ).

cnf(c78,plain,
    mult(mult(rd(X2,X2),mult(X2,X)),X2) = mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2),
    inference(congruence,[status(thm)],[c77]) ).

cnf(c79,plain,
    mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),mult(rd(X2,X2),X2))),
    inference(substitution,[status(thm)],[c6]) ).

cnf(c80,plain,
    mult(rd(X,X),X) = X,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c81,plain,
    mult(rd(X,rd(X2,X2)),mult(rd(X2,X2),X2)) = mult(rd(X,rd(X2,X2)),X2),
    inference(congruence,[status(thm)],[c80]) ).

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

cnf(c83,plain,
    mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),X2)),
    inference(transitivity,[status(thm)],[c79,c82]) ).

cnf(c84,plain,
    mult(mult(rd(X2,X2),mult(X2,X)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),X2)),
    inference(transitivity,[status(thm)],[c78,c83]) ).

cnf(c85,plain,
    mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2) = mult(X2,mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2)),
    inference(substitution,[status(thm)],[c84]) ).

cnf(c86,plain,
    rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)) = ld(X2,X),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c87,plain,
    mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2) = mult(ld(X2,X),X2),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    mult(X2,mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2)) = mult(X2,mult(ld(X2,X),X2)),
    inference(congruence,[status(thm)],[c87]) ).

cnf(c89,plain,
    mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2) = mult(X2,mult(ld(X2,X),X2)),
    inference(transitivity,[status(thm)],[c85,c88]) ).

cnf(c90,plain,
    mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2) = mult(X2,mult(ld(X2,X),X2)),
    inference(transitivity,[status(thm)],[c75,c89]) ).

cnf(c91,plain,
    mult(mult(X,rd(X2,X2)),X2) = mult(X2,mult(ld(X2,X),X2)),
    inference(transitivity,[status(thm)],[c62,c90]) ).

cnf(c92,plain,
    ld(X2,mult(mult(X,rd(X2,X2)),X2)) = ld(X2,mult(X2,mult(ld(X2,X),X2))),
    inference(congruence,[status(thm)],[c91]) ).

cnf(c93,plain,
    ld(X2,mult(X2,mult(ld(X2,X),X2))) = mult(ld(X2,X),X2),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c94,plain,
    ld(X2,mult(mult(X,rd(X2,X2)),X2)) = mult(ld(X2,X),X2),
    inference(transitivity,[status(thm)],[c92,c93]) ).

cnf(c95,plain,
    ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)) = mult(ld(X2,rd(X,rd(X2,X2))),X2),
    inference(substitution,[status(thm)],[c94]) ).

cnf(c96,plain,
    mult(ld(X2,rd(X,rd(X2,X2))),X2) = ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)),
    inference(symmetry,[status(thm)],[c95]) ).

cnf(c97,plain,
    mult(rd(X,rd(X2,X2)),rd(X2,X2)) = X,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c98,plain,
    mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2) = mult(X,X2),
    inference(congruence,[status(thm)],[c97]) ).

cnf(c99,plain,
    ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)) = ld(X2,mult(X,X2)),
    inference(congruence,[status(thm)],[c98]) ).

cnf(c100,plain,
    mult(ld(X2,rd(X,rd(X2,X2))),X2) = ld(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c96,c99]) ).

cnf(c101,plain,
    mult(ld(X,rd(X,rd(X,X))),X) = ld(X,mult(X,X)),
    inference(substitution,[status(thm)],[c100]) ).

cnf(c102,plain,
    ld(X,mult(X,X)) = X,
    inference(substitution,[status(thm)],[c52]) ).

cnf(c103,plain,
    mult(ld(X,rd(X,rd(X,X))),X) = X,
    inference(transitivity,[status(thm)],[c101,c102]) ).

cnf(c104,plain,
    mult(rd(ld(X,X),rd(X,X)),X) = X,
    inference(transitivity,[status(thm)],[c59,c103]) ).

cnf(c105,plain,
    rd(mult(rd(ld(X,X),rd(X,X)),X),X) = rd(X,X),
    inference(congruence,[status(thm)],[c104]) ).

cnf(c106,plain,
    rd(ld(X,X),rd(X,X)) = rd(X,X),
    inference(transitivity,[status(thm)],[c23,c105]) ).

cnf(c107,plain,
    rd(X,X) = rd(ld(X,X),rd(X,X)),
    inference(symmetry,[status(thm)],[c106]) ).

cnf(c108,plain,
    mult(rd(X,X),rd(X,X)) = mult(rd(ld(X,X),rd(X,X)),rd(X,X)),
    inference(congruence,[status(thm)],[c107]) ).

cnf(c109,plain,
    mult(rd(ld(X,X),rd(X,X)),rd(X,X)) = ld(X,X),
    inference(substitution,[status(thm)],[c15]) ).

cnf(c110,plain,
    mult(rd(X,X),rd(X,X)) = ld(X,X),
    inference(transitivity,[status(thm)],[c108,c109]) ).

cnf(c111,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c112,plain,
    X2 = mult(rd(X2,X),X),
    inference(symmetry,[status(thm)],[c111]) ).

cnf(c113,plain,
    ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
    inference(congruence,[status(thm)],[c112]) ).

cnf(c114,plain,
    ld(rd(X2,X),mult(rd(X2,X),X)) = X,
    inference(substitution,[status(thm)],[c52]) ).

cnf(c115,plain,
    ld(rd(X2,X),X2) = X,
    inference(transitivity,[status(thm)],[c113,c114]) ).

cnf(c116,plain,
    ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = mult(X,rd(X,X)),
    inference(substitution,[status(thm)],[c115]) ).

cnf(c117,plain,
    mult(X,rd(X,X)) = ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)),
    inference(symmetry,[status(thm)],[c116]) ).

cnf(c118,plain,
    rd(mult(X3,X2),X3) = mult(mult(X3,rd(X2,mult(X,X3))),X),
    inference(symmetry,[status(thm)],[c19]) ).

cnf(c119,plain,
    rd(rd(mult(X3,X2),X3),X) = rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X) = mult(X3,rd(X2,mult(X,X3))),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c121,plain,
    rd(rd(mult(X3,X2),X3),X) = mult(X3,rd(X2,mult(X,X3))),
    inference(transitivity,[status(thm)],[c119,c120]) ).

cnf(c122,plain,
    rd(rd(mult(X2,X2),X2),X) = mult(X2,rd(X2,mult(X,X2))),
    inference(substitution,[status(thm)],[c121]) ).

cnf(c123,plain,
    mult(X2,rd(X2,mult(X,X2))) = rd(rd(mult(X2,X2),X2),X),
    inference(symmetry,[status(thm)],[c122]) ).

cnf(c124,plain,
    rd(mult(X,X),X) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c125,plain,
    rd(rd(mult(X2,X2),X2),X) = rd(X2,X),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    mult(X2,rd(X2,mult(X,X2))) = rd(X2,X),
    inference(transitivity,[status(thm)],[c123,c125]) ).

cnf(c127,plain,
    rd(X2,X) = mult(X2,rd(X2,mult(X,X2))),
    inference(symmetry,[status(thm)],[c126]) ).

cnf(c128,plain,
    ld(X2,rd(X2,X)) = ld(X2,mult(X2,rd(X2,mult(X,X2)))),
    inference(congruence,[status(thm)],[c127]) ).

cnf(c129,plain,
    ld(X2,mult(X2,rd(X2,mult(X,X2)))) = rd(X2,mult(X,X2)),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c130,plain,
    ld(X2,rd(X2,X)) = rd(X2,mult(X,X2)),
    inference(transitivity,[status(thm)],[c128,c129]) ).

cnf(c131,plain,
    ld(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),mult(X,rd(X,X))),
    inference(substitution,[status(thm)],[c130]) ).

cnf(c132,plain,
    rd(rd(X,X),mult(X,rd(X,X))) = ld(rd(X,X),rd(rd(X,X),X)),
    inference(symmetry,[status(thm)],[c131]) ).

cnf(c133,plain,
    ld(rd(X2,X2),mult(X,rd(X2,X2))) = mult(X2,mult(ld(X2,X),rd(X2,X2))),
    inference(substitution,[status(thm)],[c72]) ).

cnf(c134,plain,
    rd(ld(rd(X2,X2),mult(X,rd(X2,X2))),X2) = rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2),
    inference(congruence,[status(thm)],[c133]) ).

cnf(c135,plain,
    mult(rd(X,X2),X2) = X,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c136,plain,
    X = mult(rd(X,X2),X2),
    inference(symmetry,[status(thm)],[c135]) ).

cnf(c137,plain,
    mult(X2,X) = mult(X2,mult(rd(X,X3),X3)),
    inference(congruence,[status(thm)],[c136]) ).

cnf(c138,plain,
    mult(X3,mult(X2,X)) = mult(X3,mult(X2,mult(rd(X,X3),X3))),
    inference(congruence,[status(thm)],[c137]) ).

cnf(c139,plain,
    rd(mult(X3,mult(X2,X)),X3) = rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3),
    inference(congruence,[status(thm)],[c138]) ).

cnf(c140,plain,
    rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3) = mult(mult(X3,X2),rd(X,X3)),
    inference(substitution,[status(thm)],[c12]) ).

cnf(c141,plain,
    rd(mult(X3,mult(X2,X)),X3) = mult(mult(X3,X2),rd(X,X3)),
    inference(transitivity,[status(thm)],[c139,c140]) ).

cnf(c142,plain,
    rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2) = mult(mult(X2,ld(X2,X)),rd(rd(X2,X2),X2)),
    inference(substitution,[status(thm)],[c141]) ).

cnf(c143,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c144,plain,
    mult(mult(X2,ld(X2,X)),rd(rd(X2,X2),X2)) = mult(X,rd(rd(X2,X2),X2)),
    inference(congruence,[status(thm)],[c143]) ).

cnf(c145,plain,
    rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
    inference(transitivity,[status(thm)],[c142,c144]) ).

cnf(c146,plain,
    rd(ld(rd(X2,X2),mult(X,rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
    inference(transitivity,[status(thm)],[c134,c145]) ).

cnf(c147,plain,
    rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X) = mult(rd(X,X),rd(rd(X,X),X)),
    inference(substitution,[status(thm)],[c146]) ).

cnf(c148,plain,
    mult(rd(X,X),rd(rd(X,X),X)) = rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X),
    inference(symmetry,[status(thm)],[c147]) ).

cnf(c149,plain,
    ld(rd(X,X),mult(rd(X,X),rd(X,X))) = rd(X,X),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c150,plain,
    rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X) = rd(rd(X,X),X),
    inference(congruence,[status(thm)],[c149]) ).

cnf(c151,plain,
    mult(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),X),
    inference(transitivity,[status(thm)],[c148,c150]) ).

cnf(c152,plain,
    rd(rd(X,X),X) = mult(rd(X,X),rd(rd(X,X),X)),
    inference(symmetry,[status(thm)],[c151]) ).

cnf(c153,plain,
    ld(rd(X,X),rd(rd(X,X),X)) = ld(rd(X,X),mult(rd(X,X),rd(rd(X,X),X))),
    inference(congruence,[status(thm)],[c152]) ).

cnf(c154,plain,
    ld(rd(X,X),mult(rd(X,X),rd(rd(X,X),X))) = rd(rd(X,X),X),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c155,plain,
    ld(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),X),
    inference(transitivity,[status(thm)],[c153,c154]) ).

cnf(c156,plain,
    rd(rd(X,X),mult(X,rd(X,X))) = rd(rd(X,X),X),
    inference(transitivity,[status(thm)],[c132,c155]) ).

cnf(c157,plain,
    ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = ld(rd(rd(X,X),X),rd(X,X)),
    inference(congruence,[status(thm)],[c156]) ).

cnf(c158,plain,
    ld(rd(rd(X,X),X),rd(X,X)) = X,
    inference(substitution,[status(thm)],[c115]) ).

cnf(c159,plain,
    ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = X,
    inference(transitivity,[status(thm)],[c157,c158]) ).

cnf(c160,plain,
    mult(X,rd(X,X)) = X,
    inference(transitivity,[status(thm)],[c117,c159]) ).

cnf(c161,plain,
    X = mult(X,rd(X,X)),
    inference(symmetry,[status(thm)],[c160]) ).

cnf(c162,plain,
    ld(X,X) = ld(X,mult(X,rd(X,X))),
    inference(congruence,[status(thm)],[c161]) ).

cnf(c163,plain,
    ld(X,mult(X,rd(X,X))) = rd(X,X),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c164,plain,
    ld(X,X) = rd(X,X),
    inference(transitivity,[status(thm)],[c162,c163]) ).

cnf(c165,plain,
    mult(rd(X,X),rd(X,X)) = rd(X,X),
    inference(transitivity,[status(thm)],[c110,c164]) ).

cnf(c166,plain,
    rd(X,mult(rd(X2,X2),rd(X2,X2))) = rd(X,rd(X2,X2)),
    inference(congruence,[status(thm)],[c165]) ).

cnf(c167,plain,
    mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))) = mult(rd(X2,X2),rd(X,rd(X2,X2))),
    inference(congruence,[status(thm)],[c166]) ).

cnf(c168,plain,
    mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)),
    inference(congruence,[status(thm)],[c167]) ).

cnf(c169,plain,
    mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(X3,mult(ld(X3,X2),mult(X,X3))),
    inference(substitution,[status(thm)],[c6]) ).

cnf(c170,plain,
    mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(mult(X3,ld(X3,X2)),X),X3),
    inference(symmetry,[status(thm)],[c169]) ).

cnf(c171,plain,
    mult(X2,ld(X2,X)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c172,plain,
    mult(mult(X3,ld(X3,X2)),X) = mult(X2,X),
    inference(congruence,[status(thm)],[c171]) ).

cnf(c173,plain,
    mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(mult(X2,X),X3),
    inference(congruence,[status(thm)],[c172]) ).

cnf(c174,plain,
    mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(X2,X),X3),
    inference(transitivity,[status(thm)],[c170,c173]) ).

cnf(c175,plain,
    mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(mult(X3,rd(X2,X)),X),
    inference(substitution,[status(thm)],[c174]) ).

cnf(c176,plain,
    mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),mult(rd(X2,X),X))),
    inference(symmetry,[status(thm)],[c175]) ).

cnf(c177,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c178,plain,
    mult(ld(X,X3),mult(rd(X2,X),X)) = mult(ld(X,X3),X2),
    inference(congruence,[status(thm)],[c177]) ).

cnf(c179,plain,
    mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(X,mult(ld(X,X3),X2)),
    inference(congruence,[status(thm)],[c178]) ).

cnf(c180,plain,
    mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),X2)),
    inference(transitivity,[status(thm)],[c176,c179]) ).

cnf(c181,plain,
    mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),X)),
    inference(substitution,[status(thm)],[c180]) ).

cnf(c182,plain,
    mult(mult(X2,X),X3) = mult(X3,mult(ld(X3,X2),mult(X,X3))),
    inference(symmetry,[status(thm)],[c174]) ).

cnf(c183,plain,
    ld(X3,mult(mult(X2,X),X3)) = ld(X3,mult(X3,mult(ld(X3,X2),mult(X,X3)))),
    inference(congruence,[status(thm)],[c182]) ).

cnf(c184,plain,
    ld(X3,mult(X3,mult(ld(X3,X2),mult(X,X3)))) = mult(ld(X3,X2),mult(X,X3)),
    inference(substitution,[status(thm)],[c52]) ).

cnf(c185,plain,
    ld(X3,mult(mult(X2,X),X3)) = mult(ld(X3,X2),mult(X,X3)),
    inference(transitivity,[status(thm)],[c183,c184]) ).

cnf(c186,plain,
    ld(X3,mult(mult(rd(X2,X),X),X3)) = mult(ld(X3,rd(X2,X)),mult(X,X3)),
    inference(substitution,[status(thm)],[c185]) ).

cnf(c187,plain,
    mult(ld(X3,rd(X2,X)),mult(X,X3)) = ld(X3,mult(mult(rd(X2,X),X),X3)),
    inference(symmetry,[status(thm)],[c186]) ).

cnf(c188,plain,
    mult(rd(X2,X),X) = X2,
    inference(substitution,[status(thm)],[c15]) ).

cnf(c189,plain,
    mult(mult(rd(X2,X),X),X3) = mult(X2,X3),
    inference(congruence,[status(thm)],[c188]) ).

cnf(c190,plain,
    ld(X3,mult(mult(rd(X2,X),X),X3)) = ld(X3,mult(X2,X3)),
    inference(congruence,[status(thm)],[c189]) ).

cnf(c191,plain,
    mult(ld(X3,rd(X2,X)),mult(X,X3)) = ld(X3,mult(X2,X3)),
    inference(transitivity,[status(thm)],[c187,c190]) ).

cnf(c192,plain,
    ld(X3,mult(X2,X3)) = mult(ld(X3,rd(X2,X)),mult(X,X3)),
    inference(symmetry,[status(thm)],[c191]) ).

cnf(c193,plain,
    rd(ld(X3,mult(X2,X3)),mult(X,X3)) = rd(mult(ld(X3,rd(X2,X)),mult(X,X3)),mult(X,X3)),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    rd(mult(ld(X3,rd(X2,X)),mult(X,X3)),mult(X,X3)) = ld(X3,rd(X2,X)),
    inference(substitution,[status(thm)],[c10]) ).

cnf(c195,plain,
    rd(ld(X3,mult(X2,X3)),mult(X,X3)) = ld(X3,rd(X2,X)),
    inference(transitivity,[status(thm)],[c193,c194]) ).

cnf(c196,plain,
    rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = ld(rd(X,X),rd(X,X)),
    inference(substitution,[status(thm)],[c195]) ).

cnf(c197,plain,
    ld(rd(X,X),rd(X,X)) = rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))),
    inference(symmetry,[status(thm)],[c196]) ).

cnf(c198,plain,
    ld(rd(X,X),mult(X,rd(X,X))) = ld(rd(X,X),X),
    inference(congruence,[status(thm)],[c160]) ).

cnf(c199,plain,
    rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = rd(ld(rd(X,X),X),mult(X,rd(X,X))),
    inference(congruence,[status(thm)],[c198]) ).

cnf(c200,plain,
    ld(rd(X,X),X) = X,
    inference(substitution,[status(thm)],[c115]) ).

cnf(c201,plain,
    rd(ld(rd(X,X),X),mult(X,rd(X,X))) = rd(X,mult(X,rd(X,X))),
    inference(congruence,[status(thm)],[c200]) ).

cnf(c202,plain,
    rd(X,mult(X,rd(X,X))) = rd(X,X),
    inference(congruence,[status(thm)],[c160]) ).

cnf(c203,plain,
    rd(ld(rd(X,X),X),mult(X,rd(X,X))) = rd(X,X),
    inference(transitivity,[status(thm)],[c201,c202]) ).

cnf(c204,plain,
    rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = rd(X,X),
    inference(transitivity,[status(thm)],[c199,c203]) ).

cnf(c205,plain,
    ld(rd(X,X),rd(X,X)) = rd(X,X),
    inference(transitivity,[status(thm)],[c197,c204]) ).

cnf(c206,plain,
    mult(ld(rd(X2,X2),rd(X2,X2)),X) = mult(rd(X2,X2),X),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),X)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
    inference(congruence,[status(thm)],[c206]) ).

cnf(c208,plain,
    mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
    inference(transitivity,[status(thm)],[c181,c207]) ).

cnf(c209,plain,
    mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
    inference(transitivity,[status(thm)],[c168,c208]) ).

cnf(c210,plain,
    rd(mult(rd(X2,X2),X),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
    inference(transitivity,[status(thm)],[c21,c209]) ).

cnf(c211,plain,
    rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)) = mult(rd(X,X),mult(rd(X,X),ld(rd(X,X),X2))),
    inference(substitution,[status(thm)],[c210]) ).

cnf(c212,plain,
    mult(rd(X,X),ld(rd(X,X),X2)) = X2,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c213,plain,
    mult(rd(X,X),mult(rd(X,X),ld(rd(X,X),X2))) = mult(rd(X,X),X2),
    inference(congruence,[status(thm)],[c212]) ).

cnf(c214,plain,
    rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)) = mult(rd(X,X),X2),
    inference(transitivity,[status(thm)],[c211,c213]) ).

cnf(c215,plain,
    rd(X2,rd(X,X)) = mult(rd(X,X),X2),
    inference(transitivity,[status(thm)],[c5,c214]) ).

cnf(c216,plain,
    rd(X,rd(X2,X2)) = mult(rd(X2,X2),X),
    inference(substitution,[status(thm)],[c215]) ).

cnf(c217,plain,
    mult(rd(X2,X2),X) = rd(X,rd(X2,X2)),
    inference(symmetry,[status(thm)],[c216]) ).

cnf(c218,plain,
    rd(mult(X,rd(X2,X2)),rd(X2,X2)) = mult(rd(X2,X2),mult(X,rd(X2,X2))),
    inference(substitution,[status(thm)],[c215]) ).

cnf(c219,plain,
    mult(rd(X2,X2),mult(X,rd(X2,X2))) = rd(mult(X,rd(X2,X2)),rd(X2,X2)),
    inference(symmetry,[status(thm)],[c218]) ).

cnf(c220,plain,
    rd(mult(X,rd(X2,X2)),rd(X2,X2)) = X,
    inference(substitution,[status(thm)],[c10]) ).

cnf(c221,plain,
    mult(rd(X2,X2),mult(X,rd(X2,X2))) = X,
    inference(transitivity,[status(thm)],[c219,c220]) ).

cnf(c222,plain,
    X = mult(rd(X2,X2),mult(X,rd(X2,X2))),
    inference(symmetry,[status(thm)],[c221]) ).

cnf(c223,plain,
    rd(X,rd(X2,X2)) = rd(mult(rd(X2,X2),mult(X,rd(X2,X2))),rd(X2,X2)),
    inference(congruence,[status(thm)],[c222]) ).

cnf(c224,plain,
    rd(mult(rd(X2,X2),mult(X,rd(X2,X2))),rd(X2,X2)) = mult(mult(rd(X2,X2),X),rd(rd(X2,X2),rd(X2,X2))),
    inference(substitution,[status(thm)],[c141]) ).

cnf(c225,plain,
    rd(X,X) = ld(X,X),
    inference(symmetry,[status(thm)],[c164]) ).

cnf(c226,plain,
    rd(rd(X,X),rd(X,X)) = rd(ld(X,X),rd(X,X)),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    rd(rd(X,X),rd(X,X)) = rd(X,X),
    inference(transitivity,[status(thm)],[c226,c106]) ).

cnf(c228,plain,
    mult(mult(rd(X2,X2),X),rd(rd(X2,X2),rd(X2,X2))) = mult(mult(rd(X2,X2),X),rd(X2,X2)),
    inference(congruence,[status(thm)],[c227]) ).

cnf(c229,plain,
    rd(X,rd(X2,X2)) = mult(rd(X2,X2),X),
    inference(substitution,[status(thm)],[c215]) ).

cnf(c230,plain,
    mult(rd(X2,X2),X) = rd(X,rd(X2,X2)),
    inference(symmetry,[status(thm)],[c229]) ).

cnf(c231,plain,
    ld(mult(rd(X2,X2),X),X) = ld(rd(X,rd(X2,X2)),X),
    inference(congruence,[status(thm)],[c230]) ).

cnf(c232,plain,
    ld(rd(X,rd(X2,X2)),X) = rd(X2,X2),
    inference(substitution,[status(thm)],[c115]) ).

cnf(c233,plain,
    ld(mult(rd(X2,X2),X),X) = rd(X2,X2),
    inference(transitivity,[status(thm)],[c231,c232]) ).

cnf(c234,plain,
    rd(X2,X2) = ld(mult(rd(X2,X2),X),X),
    inference(symmetry,[status(thm)],[c233]) ).

cnf(c235,plain,
    mult(mult(rd(X2,X2),X),rd(X2,X2)) = mult(mult(rd(X2,X2),X),ld(mult(rd(X2,X2),X),X)),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    mult(mult(rd(X2,X2),X),ld(mult(rd(X2,X2),X),X)) = X,
    inference(substitution,[status(thm)],[c2]) ).

cnf(c237,plain,
    mult(mult(rd(X2,X2),X),rd(X2,X2)) = X,
    inference(transitivity,[status(thm)],[c235,c236]) ).

cnf(c238,plain,
    mult(mult(rd(X2,X2),X),rd(rd(X2,X2),rd(X2,X2))) = X,
    inference(transitivity,[status(thm)],[c228,c237]) ).

cnf(c239,plain,
    rd(mult(rd(X2,X2),mult(X,rd(X2,X2))),rd(X2,X2)) = X,
    inference(transitivity,[status(thm)],[c224,c238]) ).

cnf(c240,plain,
    rd(X,rd(X2,X2)) = X,
    inference(transitivity,[status(thm)],[c223,c239]) ).

cnf(c241,plain,
    mult(rd(X2,X2),X) = X,
    inference(transitivity,[status(thm)],[c217,c240]) ).

cnf(c242,plain,
    mult(rd(x1,x1),x0) = x0,
    inference(substitution,[status(thm)],[c241]) ).

cnf(c243,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c242]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP660-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n013.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 10:32:21 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.18/0.50  
% 0.18/0.50  % SZS status Unsatisfiable
% 0.18/0.50  
% 0.18/0.50  % SZS output start CNFRefutation
% See solution above
% 0.18/0.57  
% 0.18/0.57  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------