%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 5 RR)
% Number of literals : 59 ( 58 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; 3 con; 0-2 aty)
% Number of variables : 100 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(x0,X2) != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c3,plain,
mult(X3,mult(i(X3),mult(i(X3),X))) = mult(mult(mult(X3,i(X3)),i(X3)),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
mult(A2,i(A2)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c5,plain,
mult(X,i(X)) = unit,
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
mult(mult(X,i(X)),i(X)) = mult(unit,i(X)),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(mult(mult(X3,i(X3)),i(X3)),X) = mult(mult(unit,i(X3)),X),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c9,plain,
mult(unit,i(X)) = i(X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(unit,i(X3)),X) = mult(i(X3),X),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(mult(X3,i(X3)),i(X3)),X) = mult(i(X3),X),
inference(transitivity,[status(thm)],[c7,c10]) ).
cnf(c12,plain,
mult(X3,mult(i(X3),mult(i(X3),X))) = mult(i(X3),X),
inference(transitivity,[status(thm)],[c3,c11]) ).
cnf(c13,plain,
mult(x0,mult(i(x0),mult(i(x0),mult(x0,x1)))) = mult(i(x0),mult(x0,x1)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c15,plain,
mult(mult(mult(X3,X),X),unit) = mult(mult(X3,X),X),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(X3,X),X) = mult(mult(mult(X3,X),X),unit),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
mult(X3,mult(X,mult(X,unit))) = mult(mult(mult(X3,X),X),unit),
inference(substitution,[status(thm)],[c2]) ).
cnf(c18,plain,
mult(mult(mult(X3,X),X),unit) = mult(X3,mult(X,mult(X,unit))),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c14]) ).
cnf(c20,plain,
mult(X,mult(X,unit)) = mult(X,X),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(X3,mult(X,mult(X,unit))) = mult(X3,mult(X,X)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(mult(mult(X3,X),X),unit) = mult(X3,mult(X,X)),
inference(transitivity,[status(thm)],[c18,c21]) ).
cnf(c23,plain,
mult(mult(X3,X),X) = mult(X3,mult(X,X)),
inference(transitivity,[status(thm)],[c16,c22]) ).
cnf(c24,plain,
mult(X3,mult(X,X)) = mult(mult(X3,X),X),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(mult(X3,mult(X,X)),X4) = mult(mult(mult(X3,X),X),X4),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(X4,mult(X3,mult(X3,X))) = mult(mult(mult(X4,X3),X3),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
mult(mult(mult(X4,X3),X3),X) = mult(X4,mult(X3,mult(X3,X))),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
mult(mult(X4,mult(X3,X3)),X) = mult(X4,mult(X3,mult(X3,X))),
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
mult(mult(i(mult(X3,X3)),mult(X3,X3)),X) = mult(i(mult(X3,X3)),mult(X3,mult(X3,X))),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(i(mult(X3,X3)),mult(X3,mult(X3,X))) = mult(mult(i(mult(X3,X3)),mult(X3,X3)),X),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,axiom,
mult(i(A2),A2) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c32,plain,
mult(i(mult(X,X)),mult(X,X)) = unit,
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(mult(i(mult(X3,X3)),mult(X3,X3)),X) = mult(unit,X),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c35,plain,
mult(mult(i(mult(X3,X3)),mult(X3,X3)),X) = X,
inference(transitivity,[status(thm)],[c33,c34]) ).
cnf(c36,plain,
mult(i(mult(X3,X3)),mult(X3,mult(X3,X))) = X,
inference(transitivity,[status(thm)],[c30,c35]) ).
cnf(c37,plain,
mult(i(mult(X3,X3)),mult(X3,mult(X3,mult(i(X3),mult(X3,X))))) = mult(i(X3),mult(X3,X)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(i(X3),mult(X3,X)) = mult(i(mult(X3,X3)),mult(X3,mult(X3,mult(i(X3),mult(X3,X))))),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
mult(i(X3),mult(X3,mult(X3,X))) = mult(mult(mult(i(X3),X3),X3),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c40,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c31]) ).
cnf(c41,plain,
mult(mult(i(X),X),X) = mult(unit,X),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(mult(mult(i(X3),X3),X3),X) = mult(mult(unit,X3),X),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c44,plain,
mult(mult(unit,X3),X) = mult(X3,X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(mult(mult(i(X3),X3),X3),X) = mult(X3,X),
inference(transitivity,[status(thm)],[c42,c44]) ).
cnf(c46,plain,
mult(i(X3),mult(X3,mult(X3,X))) = mult(X3,X),
inference(transitivity,[status(thm)],[c39,c45]) ).
cnf(c47,plain,
mult(X3,X) = mult(i(X3),mult(X3,mult(X3,X))),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
mult(i(X3),mult(X3,X)) = mult(i(X3),mult(i(X3),mult(X3,mult(X3,X)))),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
mult(X3,mult(i(X3),mult(X3,X))) = mult(X3,mult(i(X3),mult(i(X3),mult(X3,mult(X3,X))))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
mult(X3,mult(i(X3),mult(i(X3),mult(X3,mult(X3,X))))) = mult(i(X3),mult(X3,mult(X3,X))),
inference(substitution,[status(thm)],[c12]) ).
cnf(c51,plain,
mult(X3,mult(i(X3),mult(i(X3),mult(X3,mult(X3,X))))) = mult(X3,X),
inference(transitivity,[status(thm)],[c50,c46]) ).
cnf(c52,plain,
mult(X3,mult(i(X3),mult(X3,X))) = mult(X3,X),
inference(transitivity,[status(thm)],[c49,c51]) ).
cnf(c53,plain,
mult(X3,mult(X3,mult(i(X3),mult(X3,X)))) = mult(X3,mult(X3,X)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
mult(i(mult(X3,X3)),mult(X3,mult(X3,mult(i(X3),mult(X3,X))))) = mult(i(mult(X3,X3)),mult(X3,mult(X3,X))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
mult(i(mult(X3,X3)),mult(X3,mult(X3,mult(i(X3),mult(X3,X))))) = X,
inference(transitivity,[status(thm)],[c54,c36]) ).
cnf(c56,plain,
mult(i(X3),mult(X3,X)) = X,
inference(transitivity,[status(thm)],[c38,c55]) ).
cnf(c57,plain,
mult(i(x0),mult(x0,x1)) = x1,
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(x0,mult(i(x0),mult(i(x0),mult(x0,x1)))) = x1,
inference(transitivity,[status(thm)],[c13,c57]) ).
cnf(c59,plain,
$false,
inference(resolution,[status(thm)],[c1,c58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n014.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 27 10:36:46 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 Command-line arguments: --flatten-regeneralise
% 0.13/0.42
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42
% 0.13/0.42 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43
% 0.13/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------