%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP730-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 10:11:52 AM UTC 2026
% Result : Unsatisfiable 17.41s 2.70s
% Output : CNFRefutation 18.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 14
% Syntax : Number of clauses : 265 ( 265 unt; 0 nHn; 3 RR)
% Number of literals : 265 ( 264 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 599 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
asoc(op_k(a,b),c,d) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
i(mult(A,B)) = mult(i(A),i(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c3,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(i(X2),i(X)) = i(mult(X2,X)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
asoc(X2,X,mult(i(X2),i(X))) = asoc(X2,X,i(mult(X2,X))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c7,plain,
mult(i(i(X)),unit) = i(i(X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
i(i(X)) = mult(i(i(X)),unit),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,axiom,
mult(i(A2),A2) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c10,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
unit = mult(i(X),X),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
mult(i(i(X)),unit) = mult(i(i(X)),mult(i(X),X)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,axiom,
mult(i(A2),mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c14,plain,
mult(i(i(X)),mult(i(X),X)) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(i(i(X)),unit) = X,
inference(transitivity,[status(thm)],[c12,c14]) ).
cnf(c16,plain,
i(i(X)) = X,
inference(transitivity,[status(thm)],[c8,c15]) ).
cnf(c17,plain,
i(i(asoc(X2,X,i(mult(X2,X))))) = asoc(X2,X,i(mult(X2,X))),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
asoc(X2,X,i(mult(X2,X))) = i(i(asoc(X2,X,i(mult(X2,X))))),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c20,plain,
mult(rd(i(X2),X),X2) = mult(rd(i(X2),X),i(i(X2))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(i(X),mult(X,X2)) = X2,
inference(substitution,[status(thm)],[c13]) ).
cnf(c22,plain,
X2 = mult(i(X),mult(X,X2)),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
rd(X2,mult(X,X2)) = rd(mult(i(X),mult(X,X2)),mult(X,X2)),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c25,plain,
rd(mult(i(X),mult(X,X2)),mult(X,X2)) = i(X),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
rd(X2,mult(X,X2)) = i(X),
inference(transitivity,[status(thm)],[c23,c25]) ).
cnf(c27,plain,
rd(X,mult(rd(X2,X),X)) = i(rd(X2,X)),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
i(rd(X2,X)) = rd(X,mult(rd(X2,X),X)),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c30,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
rd(X,mult(rd(X2,X),X)) = rd(X,X2),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
i(rd(X2,X)) = rd(X,X2),
inference(transitivity,[status(thm)],[c28,c31]) ).
cnf(c33,plain,
i(rd(X,X2)) = rd(X2,X),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
rd(X2,X) = i(rd(X,X2)),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(rd(X2,X),i(X2)) = mult(i(rd(X,X2)),i(X2)),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
i(mult(rd(X,X2),X2)) = mult(i(rd(X,X2)),i(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c37,plain,
mult(i(rd(X,X2)),i(X2)) = i(mult(rd(X,X2),X2)),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c29]) ).
cnf(c39,plain,
i(mult(rd(X,X2),X2)) = i(X),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
mult(i(rd(X,X2)),i(X2)) = i(X),
inference(transitivity,[status(thm)],[c37,c39]) ).
cnf(c41,plain,
mult(rd(X2,X),i(X2)) = i(X),
inference(transitivity,[status(thm)],[c35,c40]) ).
cnf(c42,plain,
mult(rd(i(X2),X),i(i(X2))) = i(X),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(rd(i(X2),X),X2) = i(X),
inference(transitivity,[status(thm)],[c20,c42]) ).
cnf(c44,plain,
mult(rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))),mult(X2,X)) = i(i(asoc(X2,X,i(mult(X2,X))))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
i(i(asoc(X2,X,i(mult(X2,X))))) = mult(rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))),mult(X2,X)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c47,plain,
mult(i(X2),i(X)) = i(mult(X2,X)),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
mult(mult(i(X2),i(X)),mult(X2,mult(X,X3))) = mult(i(mult(X2,X)),mult(X2,mult(X,X3))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,axiom,
op_l(A2,B2,C) = mult(i(mult(C,B2)),mult(C,mult(B2,A2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
cnf(c50,plain,
op_l(X,X2,X3) = mult(i(mult(X3,X2)),mult(X3,mult(X2,X))),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
mult(i(mult(X3,X2)),mult(X3,mult(X2,X))) = op_l(X,X2,X3),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
mult(mult(i(X3),i(X2)),mult(X3,mult(X2,X))) = op_l(X,X2,X3),
inference(transitivity,[status(thm)],[c48,c51]) ).
cnf(c53,plain,
mult(mult(i(i(X2)),i(mult(X2,X))),mult(i(X2),mult(mult(X2,X),X3))) = op_l(X3,mult(X2,X),i(X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
op_l(X3,mult(X2,X),i(X2)) = mult(mult(i(i(X2)),i(mult(X2,X))),mult(i(X2),mult(mult(X2,X),X3))),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,plain,
mult(i(X),mult(X,mult(X3,rd(X2,i(asoc(X,X3,X2)))))) = mult(X3,rd(X2,i(asoc(X,X3,X2)))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c56,plain,
mult(X3,rd(X2,i(asoc(X,X3,X2)))) = mult(i(X),mult(X,mult(X3,rd(X2,i(asoc(X,X3,X2)))))),
inference(symmetry,[status(thm)],[c55]) ).
cnf(c57,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c58,plain,
rd(X,i(X2)) = rd(i(i(X)),i(X2)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
i(X) = mult(rd(X2,X),i(X2)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c60,plain,
rd(i(X),i(X2)) = rd(mult(rd(X2,X),i(X2)),i(X2)),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
rd(mult(rd(X2,X),i(X2)),i(X2)) = rd(X2,X),
inference(substitution,[status(thm)],[c24]) ).
cnf(c62,plain,
rd(i(X),i(X2)) = rd(X2,X),
inference(transitivity,[status(thm)],[c60,c61]) ).
cnf(c63,plain,
rd(i(i(X)),i(X2)) = rd(X2,i(X)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
rd(X,i(X2)) = rd(X2,i(X)),
inference(transitivity,[status(thm)],[c58,c63]) ).
cnf(c65,plain,
rd(X2,i(X)) = rd(X,i(X2)),
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
op_r(rd(X2,i(X)),i(X2),X2) = op_r(rd(X,i(X2)),i(X2),X2),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c29]) ).
cnf(c68,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
mult(X3,X) = mult(mult(rd(X3,X2),X2),X),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
rd(mult(X3,X),mult(X2,X)) = rd(mult(mult(rd(X3,X2),X2),X),mult(X2,X)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,axiom,
op_r(A2,B2,C2) = rd(mult(mult(A2,B2),C2),mult(B2,C2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
cnf(c72,plain,
op_r(rd(X3,X2),X2,X) = rd(mult(mult(rd(X3,X2),X2),X),mult(X2,X)),
inference(substitution,[status(thm)],[c71]) ).
cnf(c73,plain,
rd(mult(mult(rd(X3,X2),X2),X),mult(X2,X)) = op_r(rd(X3,X2),X2,X),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
rd(mult(X3,X),mult(X2,X)) = op_r(rd(X3,X2),X2,X),
inference(transitivity,[status(thm)],[c70,c73]) ).
cnf(c75,plain,
rd(mult(X,X2),mult(i(X2),X2)) = op_r(rd(X,i(X2)),i(X2),X2),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
op_r(rd(X,i(X2)),i(X2),X2) = rd(mult(X,X2),mult(i(X2),X2)),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c9]) ).
cnf(c78,plain,
rd(mult(X,X2),mult(i(X2),X2)) = rd(mult(X,X2),unit),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c80,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
rd(X,unit) = rd(mult(X,unit),unit),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
rd(mult(X,unit),unit) = X,
inference(substitution,[status(thm)],[c24]) ).
cnf(c83,plain,
rd(X,unit) = X,
inference(transitivity,[status(thm)],[c81,c82]) ).
cnf(c84,plain,
rd(mult(X,X2),unit) = mult(X,X2),
inference(substitution,[status(thm)],[c83]) ).
cnf(c85,plain,
rd(mult(X,X2),mult(i(X2),X2)) = mult(X,X2),
inference(transitivity,[status(thm)],[c78,c84]) ).
cnf(c86,plain,
op_r(rd(X,i(X2)),i(X2),X2) = mult(X,X2),
inference(transitivity,[status(thm)],[c76,c85]) ).
cnf(c87,plain,
op_r(rd(X2,i(X)),i(X2),X2) = mult(X,X2),
inference(transitivity,[status(thm)],[c66,c86]) ).
cnf(c88,plain,
op_r(rd(asoc(X2,X,X4),i(X3)),i(asoc(X2,X,X4)),asoc(X2,X,X4)) = mult(X3,asoc(X2,X,X4)),
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
mult(X4,asoc(X3,X2,X)) = op_r(rd(asoc(X3,X2,X),i(X4)),i(asoc(X3,X2,X)),asoc(X3,X2,X)),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
op_r(X4,X3,asoc(X2,X,X5)) = rd(mult(mult(X4,X3),asoc(X2,X,X5)),mult(X3,asoc(X2,X,X5))),
inference(substitution,[status(thm)],[c71]) ).
cnf(c91,axiom,
mult(mult(A2,B2),C2) = mult(mult(A2,mult(B2,C2)),asoc(A2,B2,C2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c92,plain,
mult(mult(X5,X4),asoc(X3,X2,X)) = mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c91]) ).
cnf(c93,axiom,
asoc(A2,B2,asoc(C2,D,E)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).
cnf(c94,plain,
asoc(X5,X4,asoc(X3,X2,X)) = unit,
inference(substitution,[status(thm)],[c93]) ).
cnf(c95,plain,
mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))) = mult(mult(X5,mult(X4,asoc(X3,X2,X))),unit),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
mult(mult(X5,mult(X4,asoc(X3,X2,X))),unit) = mult(X5,mult(X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c97,plain,
mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))) = mult(X5,mult(X4,asoc(X3,X2,X))),
inference(transitivity,[status(thm)],[c95,c96]) ).
cnf(c98,plain,
mult(mult(X5,X4),asoc(X3,X2,X)) = mult(X5,mult(X4,asoc(X3,X2,X))),
inference(transitivity,[status(thm)],[c92,c97]) ).
cnf(c99,plain,
rd(mult(mult(X5,X4),asoc(X3,X2,X)),mult(X4,asoc(X3,X2,X))) = rd(mult(X5,mult(X4,asoc(X3,X2,X))),mult(X4,asoc(X3,X2,X))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
rd(mult(X5,mult(X4,asoc(X3,X2,X))),mult(X4,asoc(X3,X2,X))) = X5,
inference(substitution,[status(thm)],[c24]) ).
cnf(c101,plain,
rd(mult(mult(X5,X4),asoc(X3,X2,X)),mult(X4,asoc(X3,X2,X))) = X5,
inference(transitivity,[status(thm)],[c99,c100]) ).
cnf(c102,plain,
op_r(X5,X4,asoc(X3,X2,X)) = X5,
inference(transitivity,[status(thm)],[c90,c101]) ).
cnf(c103,plain,
op_r(rd(asoc(X3,X2,X),i(X4)),i(asoc(X3,X2,X)),asoc(X3,X2,X)) = rd(asoc(X3,X2,X),i(X4)),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
rd(X4,i(asoc(X3,X2,X))) = rd(asoc(X3,X2,X),i(X4)),
inference(substitution,[status(thm)],[c64]) ).
cnf(c105,plain,
rd(asoc(X3,X2,X),i(X4)) = rd(X4,i(asoc(X3,X2,X))),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c106,plain,
op_r(rd(asoc(X3,X2,X),i(X4)),i(asoc(X3,X2,X)),asoc(X3,X2,X)) = rd(X4,i(asoc(X3,X2,X))),
inference(transitivity,[status(thm)],[c103,c105]) ).
cnf(c107,plain,
mult(X4,asoc(X3,X2,X)) = rd(X4,i(asoc(X3,X2,X))),
inference(transitivity,[status(thm)],[c89,c106]) ).
cnf(c108,plain,
mult(X,asoc(X3,X2,X)) = rd(X,i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
rd(X,i(asoc(X3,X2,X))) = mult(X,asoc(X3,X2,X)),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
mult(X2,rd(X,i(asoc(X3,X2,X)))) = mult(X2,mult(X,asoc(X3,X2,X))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
mult(X3,mult(X2,rd(X,i(asoc(X3,X2,X))))) = mult(X3,mult(X2,mult(X,asoc(X3,X2,X)))),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
mult(mult(X2,X),asoc(X3,X2,X)) = mult(X2,mult(X,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c98]) ).
cnf(c113,plain,
mult(X2,mult(X,asoc(X3,X2,X))) = mult(mult(X2,X),asoc(X3,X2,X)),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
mult(X3,mult(X2,mult(X,asoc(X3,X2,X)))) = mult(X3,mult(mult(X2,X),asoc(X3,X2,X))),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
mult(mult(X3,mult(X2,X)),asoc(X3,X2,X)) = mult(X3,mult(mult(X2,X),asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c98]) ).
cnf(c116,plain,
mult(X3,mult(mult(X2,X),asoc(X3,X2,X))) = mult(mult(X3,mult(X2,X)),asoc(X3,X2,X)),
inference(symmetry,[status(thm)],[c115]) ).
cnf(c117,plain,
mult(mult(X3,X2),X) = mult(mult(X3,mult(X2,X)),asoc(X3,X2,X)),
inference(substitution,[status(thm)],[c91]) ).
cnf(c118,plain,
mult(mult(X3,mult(X2,X)),asoc(X3,X2,X)) = mult(mult(X3,X2),X),
inference(symmetry,[status(thm)],[c117]) ).
cnf(c119,plain,
mult(X3,mult(mult(X2,X),asoc(X3,X2,X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c116,c118]) ).
cnf(c120,plain,
mult(X3,mult(X2,mult(X,asoc(X3,X2,X)))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c114,c119]) ).
cnf(c121,plain,
mult(X3,mult(X2,rd(X,i(asoc(X3,X2,X))))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c111,c120]) ).
cnf(c122,plain,
mult(X,mult(X3,rd(X2,i(asoc(X,X3,X2))))) = mult(mult(X,X3),X2),
inference(substitution,[status(thm)],[c121]) ).
cnf(c123,plain,
mult(i(X),mult(X,mult(X3,rd(X2,i(asoc(X,X3,X2)))))) = mult(i(X),mult(mult(X,X3),X2)),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
mult(X3,rd(X2,i(asoc(X,X3,X2)))) = mult(i(X),mult(mult(X,X3),X2)),
inference(transitivity,[status(thm)],[c56,c123]) ).
cnf(c125,plain,
mult(X,rd(X3,i(asoc(X2,X,X3)))) = mult(i(X2),mult(mult(X2,X),X3)),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
mult(i(X2),mult(mult(X2,X),X3)) = mult(X,rd(X3,i(asoc(X2,X,X3)))),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
mult(mult(i(i(X2)),i(mult(X2,X))),mult(i(X2),mult(mult(X2,X),X3))) = mult(mult(i(i(X2)),i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
mult(i(i(X2)),i(mult(X2,X))) = mult(X2,i(mult(X2,X))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c129,plain,
mult(mult(i(i(X2)),i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = mult(mult(X2,i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c131,plain,
mult(X2,i(mult(X2,X))) = mult(X2,mult(i(X2),i(X))),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
mult(mult(X2,i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = mult(mult(X2,mult(i(X2),i(X))),mult(X,rd(X3,i(asoc(X2,X,X3))))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c134,plain,
mult(X2,mult(i(X2),X)) = mult(i(i(X2)),mult(i(X2),X)),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
mult(i(i(X2)),mult(i(X2),X)) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c136,plain,
mult(X2,mult(i(X2),X)) = X,
inference(transitivity,[status(thm)],[c134,c135]) ).
cnf(c137,plain,
mult(X2,mult(i(X2),i(X))) = i(X),
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
mult(mult(X2,mult(i(X2),i(X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = mult(i(X),mult(X,rd(X3,i(asoc(X2,X,X3))))),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
mult(i(X),mult(X,rd(X3,i(asoc(X2,X,X3))))) = rd(X3,i(asoc(X2,X,X3))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c140,plain,
mult(mult(X2,mult(i(X2),i(X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = rd(X3,i(asoc(X2,X,X3))),
inference(transitivity,[status(thm)],[c138,c139]) ).
cnf(c141,plain,
mult(mult(X2,i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = rd(X3,i(asoc(X2,X,X3))),
inference(transitivity,[status(thm)],[c132,c140]) ).
cnf(c142,plain,
mult(mult(i(i(X2)),i(mult(X2,X))),mult(X,rd(X3,i(asoc(X2,X,X3))))) = rd(X3,i(asoc(X2,X,X3))),
inference(transitivity,[status(thm)],[c129,c141]) ).
cnf(c143,plain,
mult(mult(i(i(X2)),i(mult(X2,X))),mult(i(X2),mult(mult(X2,X),X3))) = rd(X3,i(asoc(X2,X,X3))),
inference(transitivity,[status(thm)],[c127,c142]) ).
cnf(c144,plain,
op_l(X3,mult(X2,X),i(X2)) = rd(X3,i(asoc(X2,X,X3))),
inference(transitivity,[status(thm)],[c54,c143]) ).
cnf(c145,plain,
op_l(i(mult(X2,X)),mult(X2,X),i(X2)) = rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))),
inference(substitution,[status(thm)],[c144]) ).
cnf(c146,plain,
rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))) = op_l(i(mult(X2,X)),mult(X2,X),i(X2)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
mult(rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))),mult(X2,X)) = mult(op_l(i(mult(X2,X)),mult(X2,X),i(X2)),mult(X2,X)),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c149,plain,
mult(op_l(i(X),X,X2),X) = mult(op_l(i(X),X,X2),i(i(X))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c151,plain,
op_l(i(X),X,X2) = op_l(i(X),i(i(X)),X2),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
mult(op_l(i(X),X,X2),i(i(X))) = mult(op_l(i(X),i(i(X)),X2),i(i(X))),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
mult(i(X2),mult(i(i(X2)),i(X))) = i(X),
inference(substitution,[status(thm)],[c136]) ).
cnf(c154,plain,
i(X) = mult(i(X2),mult(i(i(X2)),i(X))),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
mult(op_l(X,i(X),X2),i(X)) = mult(op_l(X,i(X),X2),mult(i(X2),mult(i(i(X2)),i(X)))),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
i(mult(i(X2),X)) = mult(i(i(X2)),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c157,plain,
mult(i(i(X2)),i(X)) = i(mult(i(X2),X)),
inference(symmetry,[status(thm)],[c156]) ).
cnf(c158,plain,
mult(i(X2),mult(i(i(X2)),i(X))) = mult(i(X2),i(mult(i(X2),X))),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
mult(op_l(X,i(X),X2),mult(i(X2),mult(i(i(X2)),i(X)))) = mult(op_l(X,i(X),X2),mult(i(X2),i(mult(i(X2),X)))),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c161,plain,
mult(i(X2),X) = mult(i(X2),i(i(X))),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
mult(mult(i(X2),X),X2) = mult(mult(i(X2),i(i(X))),X2),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c164,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c163]) ).
cnf(c165,plain,
mult(mult(i(X),i(X2)),X) = mult(mult(i(X),i(X2)),mult(X,unit)),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,axiom,
mult(A2,i(A2)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c167,plain,
mult(X,i(X)) = unit,
inference(substitution,[status(thm)],[c166]) ).
cnf(c168,plain,
unit = mult(X,i(X)),
inference(symmetry,[status(thm)],[c167]) ).
cnf(c169,plain,
mult(X,unit) = mult(X,mult(X2,i(X2))),
inference(congruence,[status(thm)],[c168]) ).
cnf(c170,plain,
mult(mult(i(X),i(X2)),mult(X,unit)) = mult(mult(i(X),i(X2)),mult(X,mult(X2,i(X2)))),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
mult(mult(i(X),i(X2)),mult(X,mult(X2,i(X2)))) = op_l(i(X2),X2,X),
inference(substitution,[status(thm)],[c52]) ).
cnf(c172,plain,
mult(mult(i(X),i(X2)),mult(X,unit)) = op_l(i(X2),X2,X),
inference(transitivity,[status(thm)],[c170,c171]) ).
cnf(c173,plain,
mult(mult(i(X),i(X2)),X) = op_l(i(X2),X2,X),
inference(transitivity,[status(thm)],[c165,c172]) ).
cnf(c174,plain,
mult(mult(i(X2),i(i(X))),X2) = op_l(i(i(X)),i(X),X2),
inference(substitution,[status(thm)],[c173]) ).
cnf(c175,plain,
op_l(i(i(X)),i(X),X2) = op_l(X,i(X),X2),
inference(congruence,[status(thm)],[c16]) ).
cnf(c176,plain,
mult(mult(i(X2),i(i(X))),X2) = op_l(X,i(X),X2),
inference(transitivity,[status(thm)],[c174,c175]) ).
cnf(c177,plain,
mult(mult(i(X2),X),X2) = op_l(X,i(X),X2),
inference(transitivity,[status(thm)],[c162,c176]) ).
cnf(c178,plain,
op_l(X,i(X),X2) = mult(mult(i(X2),X),X2),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
mult(op_l(X,i(X),X2),mult(i(X2),i(mult(i(X2),X)))) = mult(mult(mult(i(X2),X),X2),mult(i(X2),i(mult(i(X2),X)))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
i(mult(X,X2)) = mult(i(X),i(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c181,plain,
mult(i(X),i(X2)) = i(mult(X,X2)),
inference(symmetry,[status(thm)],[c180]) ).
cnf(c182,plain,
mult(mult(X2,X),mult(i(X),i(X2))) = mult(mult(X2,X),i(mult(X,X2))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c184,plain,
mult(X2,X) = mult(X2,i(i(X))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
mult(mult(X2,X),i(mult(X,X2))) = mult(mult(X2,i(i(X))),i(mult(X,X2))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c187,plain,
mult(X2,i(i(X))) = mult(i(i(X2)),i(i(X))),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
mult(mult(X2,i(i(X))),i(mult(X,X2))) = mult(mult(i(i(X2)),i(i(X))),i(mult(X,X2))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
i(mult(i(X2),i(X))) = mult(i(i(X2)),i(i(X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c190,plain,
mult(i(i(X2)),i(i(X))) = i(mult(i(X2),i(X))),
inference(symmetry,[status(thm)],[c189]) ).
cnf(c191,plain,
mult(mult(i(i(X2)),i(i(X))),i(mult(X,X2))) = mult(i(mult(i(X2),i(X))),i(mult(X,X2))),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
i(mult(mult(i(X2),i(X)),mult(X,X2))) = mult(i(mult(i(X2),i(X))),i(mult(X,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c193,plain,
mult(i(mult(i(X2),i(X))),i(mult(X,X2))) = i(mult(mult(i(X2),i(X)),mult(X,X2))),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
i(mult(X2,X)) = mult(i(X2),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c195,plain,
mult(i(X2),i(X)) = i(mult(X2,X)),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
mult(mult(i(X2),i(X)),mult(X,X2)) = mult(i(mult(X2,X)),mult(X,X2)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,axiom,
mult(A2,B2) = mult(mult(B2,A2),op_k(A2,B2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
cnf(c198,plain,
mult(X,X2) = mult(mult(X2,X),op_k(X,X2)),
inference(substitution,[status(thm)],[c197]) ).
cnf(c199,plain,
mult(i(mult(X2,X)),mult(X,X2)) = mult(i(mult(X2,X)),mult(mult(X2,X),op_k(X,X2))),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
mult(i(mult(X2,X)),mult(mult(X2,X),op_k(X,X2))) = op_k(X,X2),
inference(substitution,[status(thm)],[c13]) ).
cnf(c201,plain,
mult(i(mult(X2,X)),mult(X,X2)) = op_k(X,X2),
inference(transitivity,[status(thm)],[c199,c200]) ).
cnf(c202,plain,
mult(mult(i(X2),i(X)),mult(X,X2)) = op_k(X,X2),
inference(transitivity,[status(thm)],[c196,c201]) ).
cnf(c203,plain,
i(mult(mult(i(X2),i(X)),mult(X,X2))) = i(op_k(X,X2)),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
mult(i(mult(i(X2),i(X))),i(mult(X,X2))) = i(op_k(X,X2)),
inference(transitivity,[status(thm)],[c193,c203]) ).
cnf(c205,plain,
mult(mult(i(i(X2)),i(i(X))),i(mult(X,X2))) = i(op_k(X,X2)),
inference(transitivity,[status(thm)],[c191,c204]) ).
cnf(c206,plain,
mult(mult(X2,i(i(X))),i(mult(X,X2))) = i(op_k(X,X2)),
inference(transitivity,[status(thm)],[c188,c205]) ).
cnf(c207,plain,
mult(mult(X2,X),i(mult(X,X2))) = i(op_k(X,X2)),
inference(transitivity,[status(thm)],[c185,c206]) ).
cnf(c208,plain,
mult(mult(X2,X),mult(i(X),i(X2))) = i(op_k(X,X2)),
inference(transitivity,[status(thm)],[c182,c207]) ).
cnf(c209,plain,
mult(mult(mult(i(X2),X),X2),mult(i(X2),i(mult(i(X2),X)))) = i(op_k(X2,mult(i(X2),X))),
inference(substitution,[status(thm)],[c208]) ).
cnf(c210,plain,
mult(mult(i(X),i(X2)),mult(i(i(X2)),i(i(X)))) = i(op_k(i(X2),i(X))),
inference(substitution,[status(thm)],[c208]) ).
cnf(c211,plain,
i(op_k(i(X2),i(X))) = mult(mult(i(X),i(X2)),mult(i(i(X2)),i(i(X)))),
inference(symmetry,[status(thm)],[c210]) ).
cnf(c212,plain,
i(mult(i(X2),i(X))) = mult(i(i(X2)),i(i(X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c213,plain,
mult(i(i(X2)),i(i(X))) = i(mult(i(X2),i(X))),
inference(symmetry,[status(thm)],[c212]) ).
cnf(c214,plain,
mult(mult(i(X),i(X2)),mult(i(i(X2)),i(i(X)))) = mult(mult(i(X),i(X2)),i(mult(i(X2),i(X)))),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
i(mult(X,X2)) = mult(i(X),i(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c216,plain,
mult(i(X),i(X2)) = i(mult(X,X2)),
inference(symmetry,[status(thm)],[c215]) ).
cnf(c217,plain,
mult(mult(i(X),i(X2)),i(mult(i(X2),i(X)))) = mult(i(mult(X,X2)),i(mult(i(X2),i(X)))),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
i(mult(mult(X,X2),mult(i(X2),i(X)))) = mult(i(mult(X,X2)),i(mult(i(X2),i(X)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c219,plain,
mult(i(mult(X,X2)),i(mult(i(X2),i(X)))) = i(mult(mult(X,X2),mult(i(X2),i(X)))),
inference(symmetry,[status(thm)],[c218]) ).
cnf(c220,plain,
mult(mult(X,X2),mult(i(X2),i(X))) = i(op_k(X2,X)),
inference(substitution,[status(thm)],[c208]) ).
cnf(c221,plain,
i(mult(mult(X,X2),mult(i(X2),i(X)))) = i(i(op_k(X2,X))),
inference(congruence,[status(thm)],[c220]) ).
cnf(c222,plain,
i(i(op_k(X2,X))) = op_k(X2,X),
inference(substitution,[status(thm)],[c16]) ).
cnf(c223,plain,
i(mult(mult(X,X2),mult(i(X2),i(X)))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c221,c222]) ).
cnf(c224,plain,
mult(i(mult(X,X2)),i(mult(i(X2),i(X)))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c219,c223]) ).
cnf(c225,plain,
mult(mult(i(X),i(X2)),i(mult(i(X2),i(X)))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c217,c224]) ).
cnf(c226,plain,
mult(mult(i(X),i(X2)),mult(i(i(X2)),i(i(X)))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c214,c225]) ).
cnf(c227,plain,
i(op_k(i(X2),i(X))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c211,c226]) ).
cnf(c228,plain,
op_k(X2,X) = i(op_k(i(X2),i(X))),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
i(op_k(X2,X)) = i(i(op_k(i(X2),i(X)))),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
i(i(op_k(i(X2),i(X)))) = op_k(i(X2),i(X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c231,plain,
i(op_k(X2,X)) = op_k(i(X2),i(X)),
inference(transitivity,[status(thm)],[c229,c230]) ).
cnf(c232,plain,
i(op_k(X2,mult(i(X2),X))) = op_k(i(X2),i(mult(i(X2),X))),
inference(substitution,[status(thm)],[c231]) ).
cnf(c233,plain,
i(mult(i(X2),X)) = mult(i(i(X2)),i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c234,plain,
op_k(i(X2),i(mult(i(X2),X))) = op_k(i(X2),mult(i(i(X2)),i(X))),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
mult(i(i(X2)),i(X)) = mult(X2,i(X)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c236,plain,
op_k(i(X2),mult(i(i(X2)),i(X))) = op_k(i(X2),mult(X2,i(X))),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
op_k(i(X2),i(mult(i(X2),X))) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c234,c236]) ).
cnf(c238,plain,
i(op_k(X2,mult(i(X2),X))) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c232,c237]) ).
cnf(c239,plain,
mult(mult(mult(i(X2),X),X2),mult(i(X2),i(mult(i(X2),X)))) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c209,c238]) ).
cnf(c240,plain,
mult(op_l(X,i(X),X2),mult(i(X2),i(mult(i(X2),X)))) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c179,c239]) ).
cnf(c241,plain,
mult(op_l(X,i(X),X2),mult(i(X2),mult(i(i(X2)),i(X)))) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c159,c240]) ).
cnf(c242,plain,
mult(op_l(X,i(X),X2),i(X)) = op_k(i(X2),mult(X2,i(X))),
inference(transitivity,[status(thm)],[c155,c241]) ).
cnf(c243,plain,
mult(op_l(i(X),i(i(X)),X2),i(i(X))) = op_k(i(X2),mult(X2,i(i(X)))),
inference(substitution,[status(thm)],[c242]) ).
cnf(c244,plain,
mult(X2,i(i(X))) = mult(X2,X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c245,plain,
op_k(i(X2),mult(X2,i(i(X)))) = op_k(i(X2),mult(X2,X)),
inference(congruence,[status(thm)],[c244]) ).
cnf(c246,plain,
mult(op_l(i(X),i(i(X)),X2),i(i(X))) = op_k(i(X2),mult(X2,X)),
inference(transitivity,[status(thm)],[c243,c245]) ).
cnf(c247,plain,
mult(op_l(i(X),X,X2),i(i(X))) = op_k(i(X2),mult(X2,X)),
inference(transitivity,[status(thm)],[c152,c246]) ).
cnf(c248,plain,
mult(op_l(i(X),X,X2),X) = op_k(i(X2),mult(X2,X)),
inference(transitivity,[status(thm)],[c149,c247]) ).
cnf(c249,plain,
mult(op_l(i(mult(X2,X)),mult(X2,X),i(X2)),mult(X2,X)) = op_k(i(i(X2)),mult(i(X2),mult(X2,X))),
inference(substitution,[status(thm)],[c248]) ).
cnf(c250,plain,
op_k(i(i(X2)),mult(i(X2),mult(X2,X))) = op_k(X2,mult(i(X2),mult(X2,X))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c251,plain,
mult(i(X2),mult(X2,X)) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c252,plain,
op_k(X2,mult(i(X2),mult(X2,X))) = op_k(X2,X),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
op_k(i(i(X2)),mult(i(X2),mult(X2,X))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c250,c252]) ).
cnf(c254,plain,
mult(op_l(i(mult(X2,X)),mult(X2,X),i(X2)),mult(X2,X)) = op_k(X2,X),
inference(transitivity,[status(thm)],[c249,c253]) ).
cnf(c255,plain,
mult(rd(i(mult(X2,X)),i(asoc(X2,X,i(mult(X2,X))))),mult(X2,X)) = op_k(X2,X),
inference(transitivity,[status(thm)],[c147,c254]) ).
cnf(c256,plain,
i(i(asoc(X2,X,i(mult(X2,X))))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c45,c255]) ).
cnf(c257,plain,
asoc(X2,X,i(mult(X2,X))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c18,c256]) ).
cnf(c258,plain,
asoc(X2,X,mult(i(X2),i(X))) = op_k(X2,X),
inference(transitivity,[status(thm)],[c5,c257]) ).
cnf(c259,plain,
op_k(X2,X) = asoc(X2,X,mult(i(X2),i(X))),
inference(symmetry,[status(thm)],[c258]) ).
cnf(c260,plain,
asoc(op_k(X4,X3),X2,X) = asoc(asoc(X4,X3,mult(i(X4),i(X3))),X2,X),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,axiom,
asoc(asoc(A2,B2,C2),D2,E2) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).
cnf(c262,plain,
asoc(asoc(X4,X3,mult(i(X4),i(X3))),X2,X) = unit,
inference(substitution,[status(thm)],[c261]) ).
cnf(c263,plain,
asoc(op_k(X4,X3),X2,X) = unit,
inference(transitivity,[status(thm)],[c260,c262]) ).
cnf(c264,plain,
asoc(op_k(a,b),c,d) = unit,
inference(substitution,[status(thm)],[c263]) ).
cnf(c265,plain,
$false,
inference(resolution,[status(thm)],[c1,c264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP730-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 10:41:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.41/2.70 Command-line arguments: --no-flatten-goal
% 17.41/2.70
% 17.41/2.70 % SZS status Unsatisfiable
% 17.41/2.70
% 18.15/2.71 % SZS output start CNFRefutation
% See solution above
% 18.83/2.84
% 18.83/2.84 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------