%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 10:11:49 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 6 RR)
% Number of literals : 45 ( 44 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c3,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X2,X)))) = mult(op_c,mult(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(op_c,mult(X2,X)) = ld(op_c,mult(op_c,mult(op_c,mult(X2,X)))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c6,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(X,X) = mult(X,mult(unit,X)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(mult(X2,X2),X) = mult(mult(X2,mult(unit,X2)),X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
mult(A2,mult(B2,mult(A2,C))) = mult(mult(A2,mult(B2,A2)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c11,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(mult(X2,mult(unit,X2)),X),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(unit,mult(X2,X))),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(unit,mult(X2,X)) = mult(X2,X),
inference(substitution,[status(thm)],[c5]) ).
cnf(c14,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c12,c14]) ).
cnf(c16,plain,
mult(mult(X2,X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c9,c15]) ).
cnf(c17,plain,
mult(mult(op_c,op_c),mult(X2,X)) = mult(op_c,mult(op_c,mult(X2,X))),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(op_c,mult(op_c,mult(X2,X))) = mult(mult(op_c,op_c),mult(X2,X)),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,axiom,
mult(mult(op_c,op_c),mult(A2,B2)) = mult(mult(mult(op_c,op_c),A2),B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
cnf(c20,plain,
mult(mult(op_c,op_c),mult(X2,X)) = mult(mult(mult(op_c,op_c),X2),X),
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(mult(op_c,op_c),X) = mult(op_c,mult(op_c,X)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c22,plain,
mult(mult(mult(op_c,op_c),X2),X) = mult(mult(op_c,mult(op_c,X2)),X),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
mult(op_c,A2) = mult(A2,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(c24,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(op_c,mult(op_c,X)) = mult(op_c,mult(X,op_c)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(mult(op_c,mult(op_c,X2)),X) = mult(mult(op_c,mult(X2,op_c)),X),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(op_c,mult(X2,mult(op_c,X))) = mult(mult(op_c,mult(X2,op_c)),X),
inference(substitution,[status(thm)],[c10]) ).
cnf(c28,plain,
mult(mult(op_c,mult(X2,op_c)),X) = mult(op_c,mult(X2,mult(op_c,X))),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(op_c,X) = mult(X,op_c),
inference(substitution,[status(thm)],[c23]) ).
cnf(c30,plain,
mult(X2,mult(op_c,X)) = mult(X2,mult(X,op_c)),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(op_c,mult(X2,mult(op_c,X))) = mult(op_c,mult(X2,mult(X,op_c))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(mult(op_c,mult(X2,op_c)),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c28,c31]) ).
cnf(c33,plain,
mult(mult(op_c,mult(op_c,X2)),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c26,c32]) ).
cnf(c34,plain,
mult(mult(mult(op_c,op_c),X2),X) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c22,c33]) ).
cnf(c35,plain,
mult(mult(op_c,op_c),mult(X2,X)) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c20,c34]) ).
cnf(c36,plain,
mult(op_c,mult(op_c,mult(X2,X))) = mult(op_c,mult(X2,mult(X,op_c))),
inference(transitivity,[status(thm)],[c18,c35]) ).
cnf(c37,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X2,X)))) = ld(op_c,mult(op_c,mult(X2,mult(X,op_c)))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
ld(op_c,mult(op_c,mult(X2,mult(X,op_c)))) = mult(X2,mult(X,op_c)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
ld(op_c,mult(op_c,mult(op_c,mult(X2,X)))) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c37,c38]) ).
cnf(c40,plain,
mult(op_c,mult(X2,X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c4,c39]) ).
cnf(c41,plain,
mult(op_c,mult(a,b)) = mult(a,mult(b,op_c)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(a,mult(b,op_c)) = mult(op_c,mult(a,b)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(op_c,mult(a,b)) = mult(mult(a,b),op_c),
inference(substitution,[status(thm)],[c23]) ).
cnf(c44,plain,
mult(a,mult(b,op_c)) = mult(mult(a,b),op_c),
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
$false,
inference(resolution,[status(thm)],[c1,c44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP708-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 10:32:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.48 Command-line arguments: --no-flatten-goal
% 0.14/0.48
% 0.14/0.48 % SZS status Unsatisfiable
% 0.14/0.48
% 0.14/0.48 % SZS output start CNFRefutation
% See solution above
% 0.56/0.49
% 0.56/0.49 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------