%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP682-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 3 RR)
% Number of literals : 49 ( 48 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; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c3,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X = ld(X,mult(X,X)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ld(X,X) = ld(X,ld(X,mult(X,X))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
mult(A2,ld(A2,B)) = ld(A2,mult(A2,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(c7,plain,
mult(X,ld(X,X)) = ld(X,mult(X,X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
ld(X,mult(X,X)) = mult(X,ld(X,X)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
ld(X,ld(X,mult(X,X))) = ld(X,mult(X,ld(X,X))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
ld(A2,mult(A2,ld(B2,B2))) = rd(mult(rd(A2,A2),B2),B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(c11,plain,
ld(X,mult(X,ld(X,X))) = rd(mult(rd(X,X),X),X),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,axiom,
mult(rd(A2,B2),B2) = rd(mult(A2,B2),B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(c13,plain,
mult(rd(X,X),X) = rd(mult(X,X),X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
rd(mult(rd(X,X),X),X) = rd(rd(mult(X,X),X),X),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
rd(mult(A2,A2),A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c16,plain,
rd(mult(X,X),X) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
rd(rd(mult(X,X),X),X) = rd(X,X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
rd(mult(rd(X,X),X),X) = rd(X,X),
inference(transitivity,[status(thm)],[c14,c17]) ).
cnf(c19,plain,
ld(X,mult(X,ld(X,X))) = rd(X,X),
inference(transitivity,[status(thm)],[c11,c18]) ).
cnf(c20,plain,
ld(X,ld(X,mult(X,X))) = rd(X,X),
inference(transitivity,[status(thm)],[c9,c19]) ).
cnf(c21,plain,
ld(X,X) = rd(X,X),
inference(transitivity,[status(thm)],[c5,c20]) ).
cnf(c22,plain,
rd(X,X) = ld(X,X),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(X,rd(X,X)) = mult(X,ld(X,X)),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(X,ld(X,X)) = ld(X,mult(X,X)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c25,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
mult(X,ld(X,X)) = X,
inference(transitivity,[status(thm)],[c24,c25]) ).
cnf(c27,plain,
mult(X,rd(X,X)) = X,
inference(transitivity,[status(thm)],[c23,c26]) ).
cnf(c28,plain,
X = mult(X,rd(X,X)),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(ld(X2,X3),X) = mult(ld(X2,X3),mult(X,rd(X,X))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
ld(ld(X3,X2),mult(ld(X3,X2),X)) = ld(ld(X3,X2),mult(ld(X3,X2),mult(X,rd(X,X)))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,axiom,
ld(ld(A2,B2),mult(ld(A2,B2),mult(C,D))) = mult(ld(A2,mult(A2,C)),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c32,plain,
ld(ld(X3,X2),mult(ld(X3,X2),mult(X,rd(X,X)))) = mult(ld(X3,mult(X3,X)),rd(X,X)),
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
ld(ld(X3,mult(X3,X3)),mult(ld(X3,mult(X3,X3)),mult(X2,X))) = mult(ld(X3,mult(X3,X2)),X),
inference(substitution,[status(thm)],[c31]) ).
cnf(c34,plain,
mult(ld(X3,mult(X3,X2)),X) = ld(ld(X3,mult(X3,X3)),mult(ld(X3,mult(X3,X3)),mult(X2,X))),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c36,plain,
ld(ld(X3,mult(X3,X3)),mult(ld(X3,mult(X3,X3)),mult(X2,X))) = ld(X3,mult(ld(X3,mult(X3,X3)),mult(X2,X))),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c38,plain,
mult(ld(X3,mult(X3,X3)),mult(X2,X)) = mult(X3,mult(X2,X)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
ld(X3,mult(ld(X3,mult(X3,X3)),mult(X2,X))) = ld(X3,mult(X3,mult(X2,X))),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
ld(ld(X3,mult(X3,X3)),mult(ld(X3,mult(X3,X3)),mult(X2,X))) = ld(X3,mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c36,c39]) ).
cnf(c41,plain,
mult(ld(X3,mult(X3,X2)),X) = ld(X3,mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c34,c40]) ).
cnf(c42,plain,
mult(ld(X2,mult(X2,X)),rd(X,X)) = ld(X2,mult(X2,mult(X,rd(X,X)))),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(X2,mult(X,rd(X,X))) = mult(X2,X),
inference(congruence,[status(thm)],[c27]) ).
cnf(c44,plain,
ld(X2,mult(X2,mult(X,rd(X,X)))) = ld(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(ld(X2,mult(X2,X)),rd(X,X)) = ld(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c42,c44]) ).
cnf(c46,plain,
ld(ld(X3,X2),mult(ld(X3,X2),mult(X,rd(X,X)))) = ld(X3,mult(X3,X)),
inference(transitivity,[status(thm)],[c32,c45]) ).
cnf(c47,plain,
ld(ld(X3,X2),mult(ld(X3,X2),X)) = ld(X3,mult(X3,X)),
inference(transitivity,[status(thm)],[c30,c46]) ).
cnf(c48,plain,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) = ld(x0,mult(x0,x2)),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
$false,
inference(resolution,[status(thm)],[c1,c48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP682-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.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 10:39:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 Command-line arguments: --no-flatten-goal
% 0.10/0.45
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.46
% 0.10/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------