%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP681-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 10:11:42 AM UTC 2026
% Result : Unsatisfiable 3.79s 0.99s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 10
% Syntax : Number of clauses : 215 ( 215 unt; 0 nHn; 16 RR)
% Number of literals : 215 ( 214 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 284 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(mult(op_c,op_c),op_d),a) != mult(a,mult(mult(op_c,op_c),op_d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c3,plain,
mult(mult(op_c,op_c),ld(mult(op_c,op_c),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X = mult(mult(op_c,op_c),ld(mult(op_c,op_c),X)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
mult(mult(mult(op_c,op_c),op_d),X) = mult(mult(mult(op_c,op_c),op_d),mult(mult(op_c,op_c),ld(mult(op_c,op_c),X))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c7,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(X,X) = mult(X,mult(unit,X)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(X,X),X2) = mult(mult(X,mult(unit,X)),X2),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
mult(A2,mult(B2,mult(A2,C))) = mult(mult(A2,mult(B2,A2)),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c12,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(mult(X2,mult(unit,X2)),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(unit,mult(X2,X))),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(unit,mult(X2,X)) = mult(X2,X),
inference(substitution,[status(thm)],[c6]) ).
cnf(c15,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
mult(mult(X2,X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c10,c16]) ).
cnf(c18,plain,
mult(mult(op_c,op_c),X) = mult(op_c,mult(op_c,X)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,axiom,
mult(op_c,A2) = mult(A2,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c20,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(op_c,mult(op_c,X)) = mult(op_c,mult(X,op_c)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(mult(op_c,op_c),X) = mult(op_c,mult(X,op_c)),
inference(transitivity,[status(thm)],[c18,c21]) ).
cnf(c23,plain,
mult(op_c,mult(X,op_c)) = mult(mult(X,op_c),op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c24,plain,
ld(op_c,mult(mult(op_c,op_c),X)) = ld(op_c,mult(op_c,mult(X,op_c))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c25,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c26,plain,
ld(op_c,mult(op_c,mult(X,op_c))) = mult(X,op_c),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
ld(op_c,mult(mult(op_c,op_c),X)) = mult(X,op_c),
inference(transitivity,[status(thm)],[c24,c26]) ).
cnf(c28,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X,op_c))) = mult(mult(X,op_c),op_c),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(mult(X,op_c),op_c) = ld(op_c,mult(mult(op_c,op_c),mult(X,op_c))),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(mult(op_c,op_c),mult(X,op_c)) = mult(op_c,mult(op_c,mult(X,op_c))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c31,plain,
mult(op_c,mult(X2,mult(X,X2))) = mult(mult(X2,mult(X,X2)),op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c32,plain,
mult(X2,mult(X,mult(X2,op_c))) = mult(mult(X2,mult(X,X2)),op_c),
inference(substitution,[status(thm)],[c11]) ).
cnf(c33,plain,
mult(mult(X2,mult(X,X2)),op_c) = mult(X2,mult(X,mult(X2,op_c))),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(op_c,mult(X2,mult(X,X2))) = mult(X2,mult(X,mult(X2,op_c))),
inference(transitivity,[status(thm)],[c31,c33]) ).
cnf(c35,plain,
mult(op_c,mult(op_c,mult(X,op_c))) = mult(op_c,mult(X,mult(op_c,op_c))),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
mult(mult(op_c,op_c),mult(X,op_c)) = mult(op_c,mult(X,mult(op_c,op_c))),
inference(transitivity,[status(thm)],[c30,c35]) ).
cnf(c37,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X,op_c))) = ld(op_c,mult(op_c,mult(X,mult(op_c,op_c)))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
ld(op_c,mult(op_c,mult(X,mult(op_c,op_c)))) = mult(X,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c39,plain,
ld(op_c,mult(mult(op_c,op_c),mult(X,op_c))) = mult(X,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c37,c38]) ).
cnf(c40,plain,
mult(mult(X,op_c),op_c) = mult(X,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c29,c39]) ).
cnf(c41,plain,
mult(op_c,mult(X,op_c)) = mult(X,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c23,c40]) ).
cnf(c42,plain,
mult(mult(op_c,op_c),X) = mult(X,mult(op_c,op_c)),
inference(transitivity,[status(thm)],[c22,c41]) ).
cnf(c43,plain,
mult(mult(mult(op_c,op_c),op_d),mult(mult(op_c,op_c),X)) = mult(mult(mult(op_c,op_c),op_d),mult(X,mult(op_c,op_c))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,axiom,
mult(op_d,A2) = mult(A2,op_d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c45,plain,
mult(op_d,X) = mult(X,op_d),
inference(substitution,[status(thm)],[c44]) ).
cnf(c46,plain,
mult(X,op_d) = mult(op_d,X),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
rd(mult(X,op_d),X) = rd(mult(op_d,X),X),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c49,plain,
rd(mult(op_d,X),X) = op_d,
inference(substitution,[status(thm)],[c48]) ).
cnf(c50,plain,
rd(mult(X,op_d),X) = op_d,
inference(transitivity,[status(thm)],[c47,c49]) ).
cnf(c51,plain,
op_d = rd(mult(X,op_d),X),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
ld(op_d,mult(X,op_d)) = ld(rd(mult(X,op_d),X),mult(X,op_d)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c54,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
ld(rd(X2,X),mult(rd(X2,X),X)) = X,
inference(substitution,[status(thm)],[c25]) ).
cnf(c58,plain,
ld(rd(X2,X),X2) = X,
inference(transitivity,[status(thm)],[c56,c57]) ).
cnf(c59,plain,
ld(rd(mult(X,op_d),X),mult(X,op_d)) = X,
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
ld(op_d,mult(X,op_d)) = X,
inference(transitivity,[status(thm)],[c52,c59]) ).
cnf(c61,plain,
ld(op_d,mult(mult(op_c,op_c),op_d)) = mult(op_c,op_c),
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
mult(op_c,op_c) = ld(op_d,mult(mult(op_c,op_c),op_d)),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(X,mult(op_c,op_c)) = mult(X,ld(op_d,mult(mult(op_c,op_c),op_d))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,mult(op_c,op_c))) = mult(mult(mult(op_c,op_c),op_d),mult(X,ld(op_d,mult(mult(op_c,op_c),op_d)))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
ld(X,mult(X,rd(unit,X))) = rd(unit,X),
inference(substitution,[status(thm)],[c25]) ).
cnf(c66,plain,
rd(unit,X) = ld(X,mult(X,rd(unit,X))),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c68,plain,
mult(rd(unit,X),unit) = rd(unit,X),
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
rd(unit,X) = mult(rd(unit,X),unit),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
mult(X,rd(unit,X)) = mult(X,mult(rd(unit,X),unit)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
mult(X2,mult(rd(X,X2),mult(X2,X3))) = mult(mult(X2,mult(rd(X,X2),X2)),X3),
inference(substitution,[status(thm)],[c11]) ).
cnf(c72,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c73,plain,
mult(X2,mult(rd(X,X2),X2)) = mult(X2,X),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
mult(mult(X3,mult(rd(X2,X3),X3)),X) = mult(mult(X3,X2),X),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
mult(X3,mult(rd(X2,X3),mult(X3,X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c71,c74]) ).
cnf(c76,plain,
mult(X3,mult(rd(X2,X3),mult(X3,ld(X3,X)))) = mult(mult(X3,X2),ld(X3,X)),
inference(substitution,[status(thm)],[c75]) ).
cnf(c77,plain,
mult(mult(X3,X2),ld(X3,X)) = mult(X3,mult(rd(X2,X3),mult(X3,ld(X3,X)))),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c79,plain,
mult(rd(X2,X3),mult(X3,ld(X3,X))) = mult(rd(X2,X3),X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
mult(X3,mult(rd(X2,X3),mult(X3,ld(X3,X)))) = mult(X3,mult(rd(X2,X3),X)),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
mult(mult(X3,X2),ld(X3,X)) = mult(X3,mult(rd(X2,X3),X)),
inference(transitivity,[status(thm)],[c77,c80]) ).
cnf(c82,plain,
mult(mult(X2,unit),ld(X2,X)) = mult(X2,mult(rd(unit,X2),X)),
inference(substitution,[status(thm)],[c81]) ).
cnf(c83,plain,
mult(X2,mult(rd(unit,X2),X)) = mult(mult(X2,unit),ld(X2,X)),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c84,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c67]) ).
cnf(c85,plain,
mult(mult(X2,unit),ld(X2,X)) = mult(X2,ld(X2,X)),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c87,plain,
mult(mult(X2,unit),ld(X2,X)) = X,
inference(transitivity,[status(thm)],[c85,c86]) ).
cnf(c88,plain,
mult(X2,mult(rd(unit,X2),X)) = X,
inference(transitivity,[status(thm)],[c83,c87]) ).
cnf(c89,plain,
mult(X,mult(rd(unit,X),unit)) = unit,
inference(substitution,[status(thm)],[c88]) ).
cnf(c90,plain,
mult(X,rd(unit,X)) = unit,
inference(transitivity,[status(thm)],[c70,c89]) ).
cnf(c91,plain,
ld(X,mult(X,rd(unit,X))) = ld(X,unit),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
rd(unit,X) = ld(X,unit),
inference(transitivity,[status(thm)],[c66,c91]) ).
cnf(c93,plain,
rd(unit,op_d) = ld(op_d,unit),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
ld(op_d,unit) = rd(unit,op_d),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
mult(X,ld(op_d,unit)) = mult(X,rd(unit,op_d)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
mult(op_d,mult(rd(unit,op_d),mult(X,rd(unit,op_d)))) = mult(X,rd(unit,op_d)),
inference(substitution,[status(thm)],[c88]) ).
cnf(c97,plain,
mult(X,rd(unit,op_d)) = mult(op_d,mult(rd(unit,op_d),mult(X,rd(unit,op_d)))),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
mult(op_d,mult(X2,mult(X,X2))) = mult(mult(X2,mult(X,X2)),op_d),
inference(substitution,[status(thm)],[c44]) ).
cnf(c99,plain,
mult(X2,mult(X,mult(X2,op_d))) = mult(mult(X2,mult(X,X2)),op_d),
inference(substitution,[status(thm)],[c11]) ).
cnf(c100,plain,
mult(mult(X2,mult(X,X2)),op_d) = mult(X2,mult(X,mult(X2,op_d))),
inference(symmetry,[status(thm)],[c99]) ).
cnf(c101,plain,
mult(op_d,mult(X2,mult(X,X2))) = mult(X2,mult(X,mult(X2,op_d))),
inference(transitivity,[status(thm)],[c98,c100]) ).
cnf(c102,plain,
mult(op_d,mult(rd(unit,op_d),mult(X,rd(unit,op_d)))) = mult(rd(unit,op_d),mult(X,mult(rd(unit,op_d),op_d))),
inference(substitution,[status(thm)],[c101]) ).
cnf(c103,plain,
rd(unit,op_d) = ld(op_d,unit),
inference(substitution,[status(thm)],[c92]) ).
cnf(c104,plain,
mult(rd(unit,op_d),mult(X,mult(rd(unit,op_d),op_d))) = mult(ld(op_d,unit),mult(X,mult(rd(unit,op_d),op_d))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
rd(unit,op_d) = ld(op_d,unit),
inference(substitution,[status(thm)],[c92]) ).
cnf(c106,plain,
mult(rd(unit,op_d),op_d) = mult(ld(op_d,unit),op_d),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
mult(X,mult(rd(unit,op_d),op_d)) = mult(X,mult(ld(op_d,unit),op_d)),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
mult(ld(op_d,unit),mult(X,mult(rd(unit,op_d),op_d))) = mult(ld(op_d,unit),mult(X,mult(ld(op_d,unit),op_d))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
ld(X,unit) = rd(unit,X),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c110,plain,
mult(ld(X2,unit),X) = mult(rd(unit,X2),X),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
ld(X2,mult(X2,mult(rd(unit,X2),X))) = mult(rd(unit,X2),X),
inference(substitution,[status(thm)],[c25]) ).
cnf(c112,plain,
mult(rd(unit,X2),X) = ld(X2,mult(X2,mult(rd(unit,X2),X))),
inference(symmetry,[status(thm)],[c111]) ).
cnf(c113,plain,
ld(X2,mult(X2,mult(rd(unit,X2),X))) = ld(X2,X),
inference(congruence,[status(thm)],[c88]) ).
cnf(c114,plain,
mult(rd(unit,X2),X) = ld(X2,X),
inference(transitivity,[status(thm)],[c112,c113]) ).
cnf(c115,plain,
mult(ld(X2,unit),X) = ld(X2,X),
inference(transitivity,[status(thm)],[c110,c114]) ).
cnf(c116,plain,
mult(ld(op_d,unit),mult(X,mult(ld(op_d,unit),op_d))) = ld(op_d,mult(X,mult(ld(op_d,unit),op_d))),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
mult(ld(op_d,unit),op_d) = ld(op_d,op_d),
inference(substitution,[status(thm)],[c115]) ).
cnf(c118,plain,
mult(X,mult(ld(op_d,unit),op_d)) = mult(X,ld(op_d,op_d)),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
ld(op_d,mult(X,mult(ld(op_d,unit),op_d))) = ld(op_d,mult(X,ld(op_d,op_d))),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c67]) ).
cnf(c121,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
ld(X,X) = ld(X,mult(X,unit)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
ld(X,mult(X,unit)) = unit,
inference(substitution,[status(thm)],[c25]) ).
cnf(c124,plain,
ld(X,X) = unit,
inference(transitivity,[status(thm)],[c122,c123]) ).
cnf(c125,plain,
ld(op_d,op_d) = unit,
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
mult(X,ld(op_d,op_d)) = mult(X,unit),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
ld(op_d,mult(X,ld(op_d,op_d))) = ld(op_d,mult(X,unit)),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c67]) ).
cnf(c129,plain,
ld(op_d,mult(X,unit)) = ld(op_d,X),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
ld(op_d,mult(X,ld(op_d,op_d))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c127,c129]) ).
cnf(c131,plain,
ld(op_d,mult(X,mult(ld(op_d,unit),op_d))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c119,c130]) ).
cnf(c132,plain,
mult(ld(op_d,unit),mult(X,mult(ld(op_d,unit),op_d))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c116,c131]) ).
cnf(c133,plain,
mult(ld(op_d,unit),mult(X,mult(rd(unit,op_d),op_d))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c108,c132]) ).
cnf(c134,plain,
mult(rd(unit,op_d),mult(X,mult(rd(unit,op_d),op_d))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c104,c133]) ).
cnf(c135,plain,
mult(op_d,mult(rd(unit,op_d),mult(X,rd(unit,op_d)))) = ld(op_d,X),
inference(transitivity,[status(thm)],[c102,c134]) ).
cnf(c136,plain,
mult(X,rd(unit,op_d)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c97,c135]) ).
cnf(c137,plain,
mult(X,ld(op_d,unit)) = ld(op_d,X),
inference(transitivity,[status(thm)],[c95,c136]) ).
cnf(c138,plain,
mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit)) = ld(op_d,mult(mult(op_c,op_c),op_d)),
inference(substitution,[status(thm)],[c137]) ).
cnf(c139,plain,
ld(op_d,mult(mult(op_c,op_c),op_d)) = mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit)),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
mult(X,ld(op_d,mult(mult(op_c,op_c),op_d))) = mult(X,mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit))),
inference(congruence,[status(thm)],[c139]) ).
cnf(c141,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,ld(op_d,mult(mult(op_c,op_c),op_d)))) = mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit)))),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit)))) = mult(mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))),ld(op_d,unit)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c143,plain,
mult(mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))),ld(op_d,unit)) = ld(op_d,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))),
inference(substitution,[status(thm)],[c137]) ).
cnf(c144,plain,
ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))))) = mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))),
inference(substitution,[status(thm)],[c25]) ).
cnf(c145,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))) = ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))))),
inference(symmetry,[status(thm)],[c144]) ).
cnf(c146,plain,
ld(op_d,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))) = ld(op_d,ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
mult(op_c,ld(mult(mult(op_c,op_c),op_d),X)) = mult(ld(mult(mult(op_c,op_c),op_d),X),op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c148,plain,
mult(op_d,mult(op_c,op_c)) = mult(mult(op_c,op_c),op_d),
inference(substitution,[status(thm)],[c44]) ).
cnf(c149,plain,
mult(mult(op_c,op_c),op_d) = mult(op_d,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
mult(mult(mult(op_c,op_c),op_d),X) = mult(mult(op_d,mult(op_c,op_c)),X),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
ld(op_c,mult(mult(mult(op_c,op_c),op_d),X)) = ld(op_c,mult(mult(op_d,mult(op_c,op_c)),X)),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
mult(X,mult(op_c,op_c)) = mult(mult(op_c,op_c),X),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c153,plain,
mult(mult(X2,mult(op_c,op_c)),X) = mult(mult(mult(op_c,op_c),X2),X),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
mult(mult(op_c,op_c),X) = mult(op_c,mult(op_c,X)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c155,plain,
mult(mult(mult(op_c,op_c),X2),X) = mult(mult(op_c,mult(op_c,X2)),X),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c157,plain,
mult(op_c,mult(op_c,X)) = mult(op_c,mult(X,op_c)),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
mult(mult(op_c,mult(op_c,X2)),X) = mult(mult(op_c,mult(X2,op_c)),X),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
mult(op_c,mult(X2,mult(op_c,X))) = mult(mult(op_c,mult(X2,op_c)),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c160,plain,
mult(mult(op_c,mult(X2,op_c)),X) = mult(op_c,mult(X2,mult(op_c,X))),
inference(symmetry,[status(thm)],[c159]) ).
cnf(c161,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c162,plain,
mult(X2,mult(op_c,X)) = mult(X2,mult(X,op_c)),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
mult(op_c,mult(X2,mult(op_c,X))) = mult(op_c,mult(X2,mult(X,op_c))),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
mult(mult(op_c,mult(X2,op_c)),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c160,c163]) ).
cnf(c165,plain,
mult(mult(op_c,mult(op_c,X2)),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c158,c164]) ).
cnf(c166,plain,
mult(mult(mult(op_c,op_c),X2),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c155,c165]) ).
cnf(c167,plain,
mult(mult(X2,mult(op_c,op_c)),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c153,c166]) ).
cnf(c168,plain,
ld(op_c,mult(mult(X2,mult(op_c,op_c)),X)) = ld(op_c,mult(op_c,mult(X2,mult(X,op_c)))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
ld(op_c,mult(op_c,mult(X2,mult(X,op_c)))) = mult(X2,mult(X,op_c)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c170,plain,
ld(op_c,mult(mult(X2,mult(op_c,op_c)),X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c168,c169]) ).
cnf(c171,plain,
ld(op_c,mult(mult(op_d,mult(op_c,op_c)),X)) = mult(op_d,mult(X,op_c)),
inference(substitution,[status(thm)],[c170]) ).
cnf(c172,plain,
ld(op_c,mult(mult(mult(op_c,op_c),op_d),X)) = mult(op_d,mult(X,op_c)),
inference(transitivity,[status(thm)],[c151,c171]) ).
cnf(c173,plain,
ld(op_d,ld(op_c,mult(mult(mult(op_c,op_c),op_d),X))) = ld(op_d,mult(op_d,mult(X,op_c))),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,plain,
ld(op_d,mult(op_d,mult(X,op_c))) = mult(X,op_c),
inference(substitution,[status(thm)],[c25]) ).
cnf(c175,plain,
ld(op_d,ld(op_c,mult(mult(mult(op_c,op_c),op_d),X))) = mult(X,op_c),
inference(transitivity,[status(thm)],[c173,c174]) ).
cnf(c176,plain,
ld(op_d,ld(op_c,mult(mult(mult(op_c,op_c),op_d),ld(mult(mult(op_c,op_c),op_d),X)))) = mult(ld(mult(mult(op_c,op_c),op_d),X),op_c),
inference(substitution,[status(thm)],[c175]) ).
cnf(c177,plain,
mult(ld(mult(mult(op_c,op_c),op_d),X),op_c) = ld(op_d,ld(op_c,mult(mult(mult(op_c,op_c),op_d),ld(mult(mult(op_c,op_c),op_d),X)))),
inference(symmetry,[status(thm)],[c176]) ).
cnf(c178,plain,
mult(mult(mult(op_c,op_c),op_d),ld(mult(mult(op_c,op_c),op_d),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c179,plain,
ld(op_c,mult(mult(mult(op_c,op_c),op_d),ld(mult(mult(op_c,op_c),op_d),X))) = ld(op_c,X),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
ld(op_d,ld(op_c,mult(mult(mult(op_c,op_c),op_d),ld(mult(mult(op_c,op_c),op_d),X)))) = ld(op_d,ld(op_c,X)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
mult(ld(mult(mult(op_c,op_c),op_d),X),op_c) = ld(op_d,ld(op_c,X)),
inference(transitivity,[status(thm)],[c177,c180]) ).
cnf(c182,plain,
mult(op_c,ld(mult(mult(op_c,op_c),op_d),X)) = ld(op_d,ld(op_c,X)),
inference(transitivity,[status(thm)],[c147,c181]) ).
cnf(c183,plain,
mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))) = ld(op_d,ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))),
inference(substitution,[status(thm)],[c182]) ).
cnf(c184,plain,
ld(op_d,ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))) = mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))),
inference(symmetry,[status(thm)],[c183]) ).
cnf(c185,plain,
mult(op_c,mult(X2,mult(X,X2))) = mult(mult(X2,mult(X,X2)),op_c),
inference(substitution,[status(thm)],[c19]) ).
cnf(c186,plain,
ld(X2,mult(op_c,mult(X2,mult(X,X2)))) = ld(X2,mult(mult(X2,mult(X,X2)),op_c)),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
mult(X3,mult(X2,mult(X3,X))) = mult(mult(X3,mult(X2,X3)),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c188,plain,
mult(mult(X3,mult(X2,X3)),X) = mult(X3,mult(X2,mult(X3,X))),
inference(symmetry,[status(thm)],[c187]) ).
cnf(c189,plain,
ld(X3,mult(mult(X3,mult(X2,X3)),X)) = ld(X3,mult(X3,mult(X2,mult(X3,X)))),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
ld(X3,mult(X3,mult(X2,mult(X3,X)))) = mult(X2,mult(X3,X)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c191,plain,
ld(X3,mult(mult(X3,mult(X2,X3)),X)) = mult(X2,mult(X3,X)),
inference(transitivity,[status(thm)],[c189,c190]) ).
cnf(c192,plain,
ld(X2,mult(mult(X2,mult(X,X2)),op_c)) = mult(X,mult(X2,op_c)),
inference(substitution,[status(thm)],[c191]) ).
cnf(c193,plain,
ld(X2,mult(op_c,mult(X2,mult(X,X2)))) = mult(X,mult(X2,op_c)),
inference(transitivity,[status(thm)],[c186,c192]) ).
cnf(c194,plain,
ld(mult(mult(op_c,op_c),op_d),mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))))) = mult(X,mult(mult(mult(op_c,op_c),op_d),op_c)),
inference(substitution,[status(thm)],[c193]) ).
cnf(c195,plain,
mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))) = mult(op_c,mult(X,mult(mult(mult(op_c,op_c),op_d),op_c))),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
mult(mult(X,mult(op_c,op_c)),mult(mult(op_c,op_c),op_d)) = mult(op_c,mult(X,mult(mult(mult(op_c,op_c),op_d),op_c))),
inference(substitution,[status(thm)],[c167]) ).
cnf(c197,plain,
mult(op_c,mult(X,mult(mult(mult(op_c,op_c),op_d),op_c))) = mult(mult(X,mult(op_c,op_c)),mult(mult(op_c,op_c),op_d)),
inference(symmetry,[status(thm)],[c196]) ).
cnf(c198,plain,
mult(X,mult(op_c,op_c)) = mult(mult(op_c,op_c),X),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c199,plain,
mult(mult(X,mult(op_c,op_c)),mult(mult(op_c,op_c),op_d)) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
mult(op_c,mult(X,mult(mult(mult(op_c,op_c),op_d),op_c))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c197,c199]) ).
cnf(c201,plain,
mult(op_c,ld(mult(mult(op_c,op_c),op_d),mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c195,c200]) ).
cnf(c202,plain,
ld(op_d,ld(op_c,mult(op_c,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c184,c201]) ).
cnf(c203,plain,
ld(op_d,mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d)))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c146,c202]) ).
cnf(c204,plain,
mult(mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(op_c,op_c),op_d))),ld(op_d,unit)) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c143,c203]) ).
cnf(c205,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,mult(mult(mult(op_c,op_c),op_d),ld(op_d,unit)))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c142,c204]) ).
cnf(c206,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,ld(op_d,mult(mult(op_c,op_c),op_d)))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c141,c205]) ).
cnf(c207,plain,
mult(mult(mult(op_c,op_c),op_d),mult(X,mult(op_c,op_c))) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c64,c206]) ).
cnf(c208,plain,
mult(mult(mult(op_c,op_c),op_d),mult(mult(op_c,op_c),X)) = mult(mult(mult(op_c,op_c),X),mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c43,c207]) ).
cnf(c209,plain,
mult(mult(mult(op_c,op_c),op_d),mult(mult(op_c,op_c),ld(mult(op_c,op_c),X))) = mult(mult(mult(op_c,op_c),ld(mult(op_c,op_c),X)),mult(mult(op_c,op_c),op_d)),
inference(substitution,[status(thm)],[c208]) ).
cnf(c210,plain,
mult(mult(op_c,op_c),ld(mult(op_c,op_c),X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c211,plain,
mult(mult(mult(op_c,op_c),ld(mult(op_c,op_c),X)),mult(mult(op_c,op_c),op_d)) = mult(X,mult(mult(op_c,op_c),op_d)),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
mult(mult(mult(op_c,op_c),op_d),mult(mult(op_c,op_c),ld(mult(op_c,op_c),X))) = mult(X,mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c209,c211]) ).
cnf(c213,plain,
mult(mult(mult(op_c,op_c),op_d),X) = mult(X,mult(mult(op_c,op_c),op_d)),
inference(transitivity,[status(thm)],[c5,c212]) ).
cnf(c214,plain,
mult(mult(mult(op_c,op_c),op_d),a) = mult(a,mult(mult(op_c,op_c),op_d)),
inference(substitution,[status(thm)],[c213]) ).
cnf(c215,plain,
$false,
inference(resolution,[status(thm)],[c1,c214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP681-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:38:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/0.99 Command-line arguments: --flatten-regeneralise
% 3.79/0.99
% 3.79/0.99 % SZS status Unsatisfiable
% 3.79/0.99
% 3.79/1.00 % SZS output start CNFRefutation
% See solution above
% 3.79/1.05
% 3.79/1.05 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------