%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP702-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 10:11:47 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of clauses : 139 ( 139 unt; 0 nHn; 44 RR)
% Number of literals : 139 ( 138 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c3,plain,
ld(op_c,mult(op_c,op_c)) = op_c,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
op_c = ld(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
op_d = ld(A2,mult(op_c,A2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
cnf(c6,plain,
op_d = ld(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
ld(op_c,mult(op_c,op_c)) = op_d,
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
op_c = op_d,
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c11,plain,
mult(X,ld(X,op_c)) = op_c,
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
op_c = mult(X,ld(X,op_c)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(c14,plain,
mult(unit,ld(X,op_c)) = ld(X,op_c),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
ld(X,op_c) = mult(unit,ld(X,op_c)),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(X,ld(X,op_c)) = mult(X,mult(unit,ld(X,op_c))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c18,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
ld(X,op_c) = ld(mult(X,unit),op_c),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(unit,ld(X,op_c)) = mult(unit,ld(mult(X,unit),op_c)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(X,mult(unit,ld(X,op_c))) = mult(X,mult(unit,ld(mult(X,unit),op_c))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
op_f = mult(A2,mult(B2,ld(mult(A2,B2),op_c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f13) ).
cnf(c24,plain,
op_f = mult(X,mult(unit,ld(mult(X,unit),op_c))),
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(X,mult(unit,ld(mult(X,unit),op_c))) = op_f,
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(X,mult(unit,ld(X,op_c))) = op_f,
inference(transitivity,[status(thm)],[c22,c25]) ).
cnf(c27,plain,
mult(X,ld(X,op_c)) = op_f,
inference(transitivity,[status(thm)],[c16,c26]) ).
cnf(c28,plain,
op_c = op_f,
inference(transitivity,[status(thm)],[c12,c27]) ).
cnf(c29,plain,
op_d = op_f,
inference(transitivity,[status(thm)],[c9,c28]) ).
cnf(c30,plain,
mult(op_d,x1) = mult(op_f,x1),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(x0,mult(op_d,x1)) = mult(x0,mult(op_f,x1)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(c33,plain,
mult(rd(op_f,X),X) = op_f,
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
op_f = mult(rd(op_f,X),X),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c36,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
rd(op_f,X) = rd(op_f,mult(unit,X)),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(rd(op_f,X),X) = mult(rd(op_f,mult(unit,X)),X),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
op_f = op_d,
inference(symmetry,[status(thm)],[c29]) ).
cnf(c40,plain,
rd(op_f,mult(unit,X)) = rd(op_d,mult(unit,X)),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
mult(rd(op_f,mult(unit,X)),X) = mult(rd(op_d,mult(unit,X)),X),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c8]) ).
cnf(c43,plain,
rd(op_d,mult(unit,X)) = rd(op_c,mult(unit,X)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
mult(rd(op_d,mult(unit,X)),X) = mult(rd(op_c,mult(unit,X)),X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(mult(rd(op_c,mult(unit,X)),X),unit) = mult(rd(op_c,mult(unit,X)),X),
inference(substitution,[status(thm)],[c17]) ).
cnf(c46,plain,
mult(rd(op_c,mult(unit,X)),X) = mult(mult(rd(op_c,mult(unit,X)),X),unit),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,axiom,
op_e = mult(mult(rd(op_c,mult(A2,B2)),B2),A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).
cnf(c48,plain,
op_e = mult(mult(rd(op_c,mult(unit,X)),X),unit),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
mult(mult(rd(op_c,mult(unit,X)),X),unit) = op_e,
inference(symmetry,[status(thm)],[c48]) ).
cnf(c50,plain,
mult(rd(op_c,mult(unit,X)),X) = op_e,
inference(transitivity,[status(thm)],[c46,c49]) ).
cnf(c51,plain,
mult(rd(op_d,mult(unit,X)),X) = op_e,
inference(transitivity,[status(thm)],[c44,c50]) ).
cnf(c52,plain,
mult(rd(op_f,mult(unit,X)),X) = op_e,
inference(transitivity,[status(thm)],[c41,c51]) ).
cnf(c53,plain,
mult(rd(op_f,X),X) = op_e,
inference(transitivity,[status(thm)],[c38,c52]) ).
cnf(c54,plain,
op_f = op_e,
inference(transitivity,[status(thm)],[c34,c53]) ).
cnf(c55,plain,
mult(op_f,x1) = mult(op_e,x1),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
mult(x0,mult(op_f,x1)) = mult(x0,mult(op_e,x1)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
op_e = op_f,
inference(symmetry,[status(thm)],[c54]) ).
cnf(c58,plain,
mult(op_e,X) = mult(op_f,X),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
op_f = op_d,
inference(symmetry,[status(thm)],[c29]) ).
cnf(c60,plain,
mult(op_f,X) = mult(op_d,X),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c8]) ).
cnf(c62,plain,
mult(op_d,X) = mult(op_c,X),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(X,ld(X,mult(op_c,X))) = mult(op_c,X),
inference(substitution,[status(thm)],[c10]) ).
cnf(c64,plain,
mult(op_c,X) = mult(X,ld(X,mult(op_c,X))),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
op_d = ld(X,mult(op_c,X)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c66,plain,
ld(X,mult(op_c,X)) = op_d,
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(X,ld(X,mult(op_c,X))) = mult(X,op_d),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
mult(X,op_d) = mult(X,op_f),
inference(congruence,[status(thm)],[c29]) ).
cnf(c69,plain,
mult(X,op_f) = mult(X,op_e),
inference(congruence,[status(thm)],[c54]) ).
cnf(c70,plain,
mult(X,op_d) = mult(X,op_e),
inference(transitivity,[status(thm)],[c68,c69]) ).
cnf(c71,plain,
mult(X,ld(X,mult(op_c,X))) = mult(X,op_e),
inference(transitivity,[status(thm)],[c67,c70]) ).
cnf(c72,plain,
mult(op_c,X) = mult(X,op_e),
inference(transitivity,[status(thm)],[c64,c71]) ).
cnf(c73,plain,
mult(op_d,X) = mult(X,op_e),
inference(transitivity,[status(thm)],[c62,c72]) ).
cnf(c74,plain,
mult(op_f,X) = mult(X,op_e),
inference(transitivity,[status(thm)],[c60,c73]) ).
cnf(c75,plain,
mult(op_e,X) = mult(X,op_e),
inference(transitivity,[status(thm)],[c58,c74]) ).
cnf(c76,plain,
mult(op_e,x1) = mult(x1,op_e),
inference(substitution,[status(thm)],[c75]) ).
cnf(c77,plain,
mult(x0,mult(op_e,x1)) = mult(x0,mult(x1,op_e)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
op_e = op_f,
inference(symmetry,[status(thm)],[c54]) ).
cnf(c79,plain,
mult(op_e,X) = mult(op_f,X),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
mult(mult(op_e,X),X2) = mult(mult(op_f,X),X2),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
op_f = op_d,
inference(symmetry,[status(thm)],[c29]) ).
cnf(c82,plain,
mult(op_f,X) = mult(op_d,X),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
mult(mult(op_f,X2),X) = mult(mult(op_d,X2),X),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c8]) ).
cnf(c85,plain,
mult(op_d,X) = mult(op_c,X),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
mult(mult(op_d,X2),X) = mult(mult(op_c,X2),X),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,axiom,
mult(op_c,mult(A2,B2)) = mult(mult(op_c,A2),B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(c88,plain,
mult(op_c,mult(X2,X)) = mult(mult(op_c,X2),X),
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
mult(mult(op_c,X2),X) = mult(op_c,mult(X2,X)),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
mult(op_c,mult(X2,X)) = mult(op_d,mult(X2,X)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c91,plain,
mult(op_d,mult(X2,X)) = mult(op_f,mult(X2,X)),
inference(congruence,[status(thm)],[c29]) ).
cnf(c92,plain,
mult(op_f,mult(X2,X)) = mult(op_e,mult(X2,X)),
inference(congruence,[status(thm)],[c54]) ).
cnf(c93,plain,
mult(op_e,mult(X2,X)) = mult(mult(X2,X),op_e),
inference(substitution,[status(thm)],[c75]) ).
cnf(c94,plain,
op_e = op_f,
inference(symmetry,[status(thm)],[c54]) ).
cnf(c95,plain,
mult(mult(X2,X),op_e) = mult(mult(X2,X),op_f),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
op_f = op_d,
inference(symmetry,[status(thm)],[c29]) ).
cnf(c97,plain,
mult(mult(X2,X),op_f) = mult(mult(X2,X),op_d),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c8]) ).
cnf(c99,plain,
mult(mult(X2,X),op_d) = mult(mult(X2,X),op_c),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,axiom,
mult(A2,mult(B2,op_c)) = mult(mult(A2,B2),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(c101,plain,
mult(X2,mult(X,op_c)) = mult(mult(X2,X),op_c),
inference(substitution,[status(thm)],[c100]) ).
cnf(c102,plain,
mult(mult(X2,X),op_c) = mult(X2,mult(X,op_c)),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
mult(X,op_c) = mult(X,op_d),
inference(congruence,[status(thm)],[c8]) ).
cnf(c104,plain,
mult(X2,mult(X,op_c)) = mult(X2,mult(X,op_d)),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
mult(X,op_d) = mult(X,op_f),
inference(congruence,[status(thm)],[c29]) ).
cnf(c106,plain,
mult(X2,mult(X,op_d)) = mult(X2,mult(X,op_f)),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
mult(X,op_f) = mult(X,op_e),
inference(congruence,[status(thm)],[c54]) ).
cnf(c108,plain,
mult(X2,mult(X,op_f)) = mult(X2,mult(X,op_e)),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
mult(X2,mult(X,op_d)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c106,c108]) ).
cnf(c110,plain,
mult(X2,mult(X,op_c)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c104,c109]) ).
cnf(c111,plain,
mult(mult(X2,X),op_c) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c102,c110]) ).
cnf(c112,plain,
mult(mult(X2,X),op_d) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c99,c111]) ).
cnf(c113,plain,
mult(mult(X2,X),op_f) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c97,c112]) ).
cnf(c114,plain,
mult(mult(X2,X),op_e) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c95,c113]) ).
cnf(c115,plain,
mult(op_e,mult(X2,X)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c93,c114]) ).
cnf(c116,plain,
mult(op_f,mult(X2,X)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c92,c115]) ).
cnf(c117,plain,
mult(op_d,mult(X2,X)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c91,c116]) ).
cnf(c118,plain,
mult(op_c,mult(X2,X)) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c90,c117]) ).
cnf(c119,plain,
mult(mult(op_c,X2),X) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c89,c118]) ).
cnf(c120,plain,
mult(mult(op_d,X2),X) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c86,c119]) ).
cnf(c121,plain,
mult(mult(op_f,X2),X) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c83,c120]) ).
cnf(c122,plain,
mult(mult(op_e,X2),X) = mult(X2,mult(X,op_e)),
inference(transitivity,[status(thm)],[c80,c121]) ).
cnf(c123,plain,
mult(mult(op_e,x0),x1) = mult(x0,mult(x1,op_e)),
inference(substitution,[status(thm)],[c122]) ).
cnf(c124,plain,
mult(x0,mult(x1,op_e)) = mult(mult(op_e,x0),x1),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,plain,
mult(op_e,x0) = mult(x0,op_e),
inference(substitution,[status(thm)],[c75]) ).
cnf(c126,plain,
mult(mult(op_e,x0),x1) = mult(mult(x0,op_e),x1),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
op_e = op_f,
inference(symmetry,[status(thm)],[c54]) ).
cnf(c128,plain,
mult(x0,op_e) = mult(x0,op_f),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
mult(mult(x0,op_e),x1) = mult(mult(x0,op_f),x1),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
op_f = op_d,
inference(symmetry,[status(thm)],[c29]) ).
cnf(c131,plain,
mult(x0,op_f) = mult(x0,op_d),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
mult(mult(x0,op_f),x1) = mult(mult(x0,op_d),x1),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
mult(mult(x0,op_e),x1) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c129,c132]) ).
cnf(c134,plain,
mult(mult(op_e,x0),x1) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c126,c133]) ).
cnf(c135,plain,
mult(x0,mult(x1,op_e)) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c124,c134]) ).
cnf(c136,plain,
mult(x0,mult(op_e,x1)) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c77,c135]) ).
cnf(c137,plain,
mult(x0,mult(op_f,x1)) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c56,c136]) ).
cnf(c138,plain,
mult(x0,mult(op_d,x1)) = mult(mult(x0,op_d),x1),
inference(transitivity,[status(thm)],[c31,c137]) ).
cnf(c139,plain,
$false,
inference(resolution,[status(thm)],[c1,c138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP702-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n001.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sun Sep 27 10:42:15 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.47 Command-line arguments: --no-flatten-goal
% 0.12/0.47
% 0.12/0.47 % SZS status Unsatisfiable
% 0.12/0.47
% 0.12/0.47 % SZS output start CNFRefutation
% See solution above
% 0.44/0.51
% 0.44/0.51 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------