%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 10:11:46 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.47s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 7 RR)
% Number of literals : 49 ( 48 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
tuple(mult(X1,x0),mult(x0,X1)) != tuple(unit,unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c3,plain,
rd(mult(mult(ld(X,unit),X),X),X) = mult(ld(X,unit),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
mult(ld(X,unit),X) = rd(mult(mult(ld(X,unit),X),X),X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c6,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
X = mult(X,unit),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(mult(mult(X,X2),X),X) = mult(mult(mult(X,X2),X),mult(X,unit)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
mult(mult(mult(A2,B2),A2),mult(A2,C)) = mult(A2,mult(mult(mult(B2,A2),A2),C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(c10,plain,
mult(mult(mult(X2,X),X2),mult(X2,unit)) = mult(X2,mult(mult(mult(X,X2),X2),unit)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(mult(mult(X,X2),X2),unit) = mult(mult(X,X2),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c12,plain,
mult(X2,mult(mult(mult(X,X2),X2),unit)) = mult(X2,mult(mult(X,X2),X2)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(mult(mult(X2,X),X2),mult(X2,unit)) = mult(X2,mult(mult(X,X2),X2)),
inference(transitivity,[status(thm)],[c10,c12]) ).
cnf(c14,plain,
mult(mult(mult(X2,X),X2),X2) = mult(X2,mult(mult(X,X2),X2)),
inference(transitivity,[status(thm)],[c8,c13]) ).
cnf(c15,plain,
mult(mult(mult(X2,ld(X2,X)),X2),X2) = mult(X2,mult(mult(ld(X2,X),X2),X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(X2,mult(mult(ld(X2,X),X2),X2)) = mult(mult(mult(X2,ld(X2,X)),X2),X2),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c18,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(mult(X2,ld(X2,X)),X2) = mult(X,X2),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(mult(mult(X2,ld(X2,X)),X2),X2) = mult(mult(X,X2),X2),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(X2,mult(mult(ld(X2,X),X2),X2)) = mult(mult(X,X2),X2),
inference(transitivity,[status(thm)],[c16,c20]) ).
cnf(c22,plain,
mult(mult(X,X2),X2) = mult(X2,mult(mult(ld(X2,X),X2),X2)),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
ld(X2,mult(mult(X,X2),X2)) = ld(X2,mult(X2,mult(mult(ld(X2,X),X2),X2))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c25,plain,
ld(X2,mult(X2,mult(mult(ld(X2,X),X2),X2))) = mult(mult(ld(X2,X),X2),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
ld(X2,mult(mult(X,X2),X2)) = mult(mult(ld(X2,X),X2),X2),
inference(transitivity,[status(thm)],[c23,c25]) ).
cnf(c27,plain,
ld(X,mult(mult(unit,X),X)) = mult(mult(ld(X,unit),X),X),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
mult(mult(ld(X,unit),X),X) = ld(X,mult(mult(unit,X),X)),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c30,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(mult(unit,X),X) = mult(X,X),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
ld(X,mult(mult(unit,X),X)) = ld(X,mult(X,X)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c24]) ).
cnf(c34,plain,
ld(X,mult(mult(unit,X),X)) = X,
inference(transitivity,[status(thm)],[c32,c33]) ).
cnf(c35,plain,
mult(mult(ld(X,unit),X),X) = X,
inference(transitivity,[status(thm)],[c28,c34]) ).
cnf(c36,plain,
rd(mult(mult(ld(X,unit),X),X),X) = rd(X,X),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c29]) ).
cnf(c38,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
rd(X,X) = rd(mult(unit,X),X),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
rd(mult(unit,X),X) = unit,
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
rd(X,X) = unit,
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
rd(mult(mult(ld(X,unit),X),X),X) = unit,
inference(transitivity,[status(thm)],[c36,c41]) ).
cnf(c43,plain,
mult(ld(X,unit),X) = unit,
inference(transitivity,[status(thm)],[c4,c42]) ).
cnf(c44,plain,
mult(ld(x0,unit),x0) = unit,
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
tuple(mult(ld(x0,unit),x0),mult(x0,ld(x0,unit))) = tuple(unit,mult(x0,ld(x0,unit))),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
mult(x0,ld(x0,unit)) = unit,
inference(substitution,[status(thm)],[c17]) ).
cnf(c47,plain,
tuple(unit,mult(x0,ld(x0,unit))) = tuple(unit,unit),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
tuple(mult(ld(x0,unit),x0),mult(x0,ld(x0,unit))) = tuple(unit,unit),
inference(transitivity,[status(thm)],[c45,c47]) ).
cnf(c49,plain,
$false,
inference(resolution,[status(thm)],[c1,c48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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 10:34:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.47 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
% 0.10/0.47
% 0.10/0.47 % SZS status Unsatisfiable
% 0.10/0.47
% 0.10/0.47 % SZS output start CNFRefutation
% See solution above
% 0.41/0.48
% 0.41/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------