%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP656-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 10:11:35 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 2 RR)
% Number of literals : 36 ( 35 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; 0 con; 1-2 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(c3,plain,
rd(mult(ld(X2,X2),X),X) = ld(X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
ld(X2,X2) = rd(mult(ld(X2,X2),X),X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(mult(A2,B2),mult(C,A2)) = mult(mult(A2,mult(B2,C)),A2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c6,plain,
mult(mult(X3,X2),mult(ld(X2,X),X3)) = mult(mult(X3,mult(X2,ld(X2,X))),X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c8,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(X3,mult(X2,ld(X2,X))) = mult(X3,X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(mult(X3,mult(X2,ld(X2,X))),X3) = mult(mult(X3,X),X3),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(X3,X2),mult(ld(X2,X),X3)) = mult(mult(X3,X),X3),
inference(transitivity,[status(thm)],[c6,c10]) ).
cnf(c12,plain,
mult(mult(X3,X),X3) = mult(mult(X3,X2),mult(ld(X2,X),X3)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
ld(mult(X3,X2),mult(mult(X3,X),X3)) = ld(mult(X3,X2),mult(mult(X3,X2),mult(ld(X2,X),X3))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c15,plain,
ld(mult(X3,X2),mult(mult(X3,X2),mult(ld(X2,X),X3))) = mult(ld(X2,X),X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
ld(mult(X3,X2),mult(mult(X3,X),X3)) = mult(ld(X2,X),X3),
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
ld(mult(X,X2),mult(mult(X,X2),X)) = mult(ld(X2,X2),X),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(ld(X2,X2),X) = ld(mult(X,X2),mult(mult(X,X2),X)),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
ld(mult(X,X2),mult(mult(X,X2),X)) = X,
inference(substitution,[status(thm)],[c14]) ).
cnf(c20,plain,
mult(ld(X2,X2),X) = X,
inference(transitivity,[status(thm)],[c18,c19]) ).
cnf(c21,plain,
rd(mult(ld(X2,X2),X),X) = rd(X,X),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
X = mult(ld(X2,X2),X),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c23,plain,
rd(X,X) = rd(mult(ld(X2,X2),X),X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
rd(mult(ld(X2,X2),X),X) = ld(X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c25,plain,
rd(X,X) = ld(X2,X2),
inference(transitivity,[status(thm)],[c23,c24]) ).
cnf(c26,plain,
rd(mult(ld(X2,X2),X),X) = ld(X3,X3),
inference(transitivity,[status(thm)],[c21,c25]) ).
cnf(c27,plain,
ld(X,X) = ld(X2,X2),
inference(transitivity,[status(thm)],[c4,c26]) ).
cnf(c28,plain,
mult(X2,ld(X,X)) = mult(X2,ld(X2,X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(X,ld(X,X)) = X,
inference(substitution,[status(thm)],[c7]) ).
cnf(c30,plain,
mult(X2,ld(X,X)) = X2,
inference(transitivity,[status(thm)],[c28,c29]) ).
cnf(c31,plain,
mult(x1_2(ld(X,X)),ld(X,X)) = x1_2(ld(X,X)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
tuple(mult(ld(X,X),x1(ld(X,X))),mult(x1_2(ld(X,X)),ld(X,X))) = tuple(mult(ld(X,X),x1(ld(X,X))),x1_2(ld(X,X))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(ld(X,X),x1(ld(X,X))) = x1(ld(X,X)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c34,plain,
tuple(mult(ld(X,X),x1(ld(X,X))),x1_2(ld(X,X))) = tuple(x1(ld(X,X)),x1_2(ld(X,X))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
tuple(mult(ld(X,X),x1(ld(X,X))),mult(x1_2(ld(X,X)),ld(X,X))) = tuple(x1(ld(X,X)),x1_2(ld(X,X))),
inference(transitivity,[status(thm)],[c32,c34]) ).
cnf(c36,plain,
$false,
inference(resolution,[status(thm)],[c1,c35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP656-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n012.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Sun Sep 27 10:32:04 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.10/0.41
% 0.10/0.41 % SZS status Unsatisfiable
% 0.10/0.41
% 0.10/0.41 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43
% 0.10/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------