%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 10:11:40 AM UTC 2026
% Result : Unsatisfiable 0.67s 0.52s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 4 RR)
% Number of literals : 48 ( 47 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(a,b),mult(c,mult(a,b))) != mult(mult(mult(a,mult(b,c)),a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c3,plain,
rd(mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2),X2) = mult(mult(mult(X3,mult(X2,X)),X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(mult(mult(X3,mult(X2,X)),X3),X2) = rd(mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2),X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c6,plain,
mult(mult(X2,X),unit) = mult(X2,X),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
mult(X2,X) = mult(mult(X2,X),unit),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(mult(X2,X),X) = mult(mult(mult(X2,X),unit),X),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
mult(A2,mult(B2,mult(C,B2))) = mult(mult(mult(A2,B2),C),B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(c10,plain,
mult(X2,mult(X,mult(unit,X))) = mult(mult(mult(X2,X),unit),X),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(mult(X2,X),unit),X) = mult(X2,mult(X,mult(unit,X))),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c13,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(X,mult(unit,X)) = mult(X,X),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(X2,mult(X,mult(unit,X))) = mult(X2,mult(X,X)),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(mult(X2,X),unit),X) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c11,c15]) ).
cnf(c17,plain,
mult(mult(X2,X),X) = mult(X2,mult(X,X)),
inference(transitivity,[status(thm)],[c8,c16]) ).
cnf(c18,plain,
mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2) = mult(mult(mult(X3,mult(X2,X)),X3),mult(X2,X2)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
ld(X2,mult(mult(X2,X),X)) = ld(X2,mult(X2,mult(X,X))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c20,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c21,plain,
ld(X2,mult(X2,mult(X,X))) = mult(X,X),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
ld(X2,mult(mult(X2,X),X)) = mult(X,X),
inference(transitivity,[status(thm)],[c19,c21]) ).
cnf(c23,plain,
mult(X,X) = ld(X2,mult(mult(X2,X),X)),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(mult(mult(X3,mult(X2,X)),X3),mult(X2,X2)) = mult(mult(mult(X3,mult(X2,X)),X3),ld(X3,mult(mult(X3,X2),X2))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,axiom,
mult(A2,mult(B2,mult(A2,C2))) = mult(mult(mult(A2,B2),A2),C2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c26,plain,
mult(X3,mult(X2,mult(X3,ld(X3,X)))) = mult(mult(mult(X3,X2),X3),ld(X3,X)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(mult(mult(X3,X2),X3),ld(X3,X)) = mult(X3,mult(X2,mult(X3,ld(X3,X)))),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c29,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(X2,mult(X3,ld(X3,X))) = mult(X2,X),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(X3,mult(X2,mult(X3,ld(X3,X)))) = mult(X3,mult(X2,X)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(mult(mult(X3,X2),X3),ld(X3,X)) = mult(X3,mult(X2,X)),
inference(transitivity,[status(thm)],[c27,c31]) ).
cnf(c33,plain,
mult(mult(mult(X3,mult(X2,X)),X3),ld(X3,mult(mult(X3,X2),X2))) = mult(X3,mult(mult(X2,X),mult(mult(X3,X2),X2))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,axiom,
mult(mult(A2,B2),mult(C2,A2)) = mult(A2,mult(mult(B2,C2),A2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
cnf(c35,plain,
mult(mult(X2,X),mult(mult(X3,X2),X2)) = mult(X2,mult(mult(X,mult(X3,X2)),X2)),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
mult(X3,mult(mult(X2,X),mult(mult(X3,X2),X2))) = mult(X3,mult(X2,mult(mult(X,mult(X3,X2)),X2))),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
mult(X3,mult(X2,mult(mult(X,mult(X3,X2)),X2))) = mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),
inference(substitution,[status(thm)],[c9]) ).
cnf(c38,plain,
mult(X3,mult(mult(X2,X),mult(mult(X3,X2),X2))) = mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),
inference(transitivity,[status(thm)],[c36,c37]) ).
cnf(c39,plain,
mult(mult(mult(X3,mult(X2,X)),X3),ld(X3,mult(mult(X3,X2),X2))) = mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),
inference(transitivity,[status(thm)],[c33,c38]) ).
cnf(c40,plain,
mult(mult(mult(X3,mult(X2,X)),X3),mult(X2,X2)) = mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),
inference(transitivity,[status(thm)],[c24,c39]) ).
cnf(c41,plain,
mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2) = mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),
inference(transitivity,[status(thm)],[c18,c40]) ).
cnf(c42,plain,
rd(mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2),X2) = rd(mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),X2),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
rd(mult(mult(mult(X3,X2),mult(X,mult(X3,X2))),X2),X2) = mult(mult(X3,X2),mult(X,mult(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c44,plain,
rd(mult(mult(mult(mult(X3,mult(X2,X)),X3),X2),X2),X2) = mult(mult(X3,X2),mult(X,mult(X3,X2))),
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
mult(mult(mult(X3,mult(X2,X)),X3),X2) = mult(mult(X3,X2),mult(X,mult(X3,X2))),
inference(transitivity,[status(thm)],[c4,c44]) ).
cnf(c46,plain,
mult(mult(mult(a,mult(b,c)),a),b) = mult(mult(a,b),mult(c,mult(a,b))),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
mult(mult(a,b),mult(c,mult(a,b))) = mult(mult(mult(a,mult(b,c)),a),b),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
$false,
inference(resolution,[status(thm)],[c1,c47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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 10:36:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.52 Command-line arguments: --flatten --complete-subsets
% 0.67/0.52
% 0.67/0.52 % SZS status Unsatisfiable
% 0.67/0.52
% 0.67/0.52 % SZS output start CNFRefutation
% See solution above
% 0.67/0.55
% 0.67/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------