%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP503-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:14:10 AM UTC 2026
% Result : Unsatisfiable 9.57s 2.35s
% Output : Refutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 13
% Syntax : Number of formulae : 181 ( 134 unt; 10 def)
% Number of atoms : 265 ( 165 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 169 ( 85 ~; 79 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 464 ( 0 sgn 464 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f4,f2,f2]) ).
fof(f6,definition,
sF0 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
inverse(b2) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = double_divide(b2,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
double_divide(b2,sF0) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = inverse(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
inverse(sF1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = double_divide(a2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
double_divide(a2,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = inverse(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
inverse(sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,plain,
a2 != sF4,
inference(definition_folding,[],[f5,f15,f13,f11,f9,f7]) ).
fof(f18,definition,
( spl5_1
<=> inverse(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f20,plain,
( inverse(sF3) = sF4
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f21,plain,
spl5_1,
inference(avatar_split_clause,[],[f15,f18]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))) = double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X0)))),inverse(double_divide(X5,double_divide(X1,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f25,definition,
( spl5_2
<=> inverse(b2) = sF0 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f27,plain,
( inverse(b2) = sF0
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
spl5_2,
inference(avatar_split_clause,[],[f7,f25]) ).
fof(f30,definition,
( spl5_3
<=> double_divide(a2,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f32,plain,
( double_divide(a2,sF2) = sF3
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl5_3,
inference(avatar_split_clause,[],[f13,f30]) ).
fof(f38,definition,
( spl5_4
<=> double_divide(b2,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f40,plain,
( double_divide(b2,sF0) = sF1
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
spl5_4,
inference(avatar_split_clause,[],[f9,f38]) ).
fof(f43,plain,
( ! [X0,X1] : sF0 = double_divide(double_divide(X0,inverse(sF1)),double_divide(inverse(b2),inverse(double_divide(X1,double_divide(X0,X1)))))
| ~ spl5_4 ),
inference(superposition,[],[f1,f40]) ).
fof(f44,plain,
( ! [X0,X1] : sF0 = double_divide(double_divide(X0,inverse(sF1)),double_divide(sF0,inverse(double_divide(X1,double_divide(X0,X1)))))
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f43,f27]) ).
fof(f45,plain,
( ! [X0,X1] : sF0 = double_divide(double_divide(X0,sF2),double_divide(sF0,inverse(double_divide(X1,double_divide(X0,X1)))))
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f44,f11]) ).
fof(f54,definition,
( spl5_6
<=> a2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f56,plain,
( a2 != sF4
| spl5_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
~ spl5_6,
inference(avatar_split_clause,[],[f16,f54]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),inverse(double_divide(X9,double_divide(inverse(X3),X9))))),
inference(superposition,[],[f22,f22]) ).
fof(f84,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f22,f22]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X5) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(X5),inverse(double_divide(X6,double_divide(inverse(X3),X6))))),
inference(superposition,[],[f1,f22]) ).
fof(f93,plain,
! [X2,X8,X6,X7,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(X2,double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),
inference(forward_demodulation,[],[f71,f86]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X4,double_divide(X2,X4))) = double_divide(double_divide(X3,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),double_divide(inverse(inverse(X0)),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f84]) ).
fof(f140,plain,
! [X2,X1,X4] : inverse(double_divide(X1,double_divide(X2,X1))) = inverse(double_divide(X4,double_divide(X2,X4))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f250,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f1,f93]) ).
fof(f301,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X0))),X2),X3))),X0) = X3,
inference(superposition,[],[f1,f250]) ).
fof(f348,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1)),inverse(double_divide(X0,X3))),X0) = X3,
inference(superposition,[],[f301,f301]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X4,X0)) = inverse(double_divide(X1,double_divide(double_divide(inverse(X2),inverse(double_divide(double_divide(double_divide(X3,inverse(double_divide(X2,X4))),X3),X0))),X1))),
inference(superposition,[],[f140,f301]) ).
fof(f374,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(X5,double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(double_divide(X3,X4))))),X2),X0))),X5))))) = X4,
inference(superposition,[],[f1,f301]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X6,X0) = double_divide(inverse(X1),inverse(double_divide(X2,double_divide(double_divide(inverse(X3),inverse(double_divide(double_divide(double_divide(X4,inverse(double_divide(X3,inverse(double_divide(X1,double_divide(X5,double_divide(X6,X5))))))),X4),X0))),X2)))),
inference(superposition,[],[f93,f301]) ).
fof(f379,plain,
! [X0,X1,X6,X5] : double_divide(X6,X0) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X5,double_divide(X6,X5)))),X0))),
inference(backward_demodulation,[],[f375,f370]) ).
fof(f381,plain,
! [X3,X0,X4] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),X0)))) = X4,
inference(backward_demodulation,[],[f374,f370]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(X4,double_divide(X3,X4))),double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),inverse(double_divide(X2,double_divide(X3,X2))))))) = X1,
inference(superposition,[],[f381,f84]) ).
fof(f458,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = double_divide(inverse(double_divide(X2,X1)),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X3))),
inference(superposition,[],[f379,f140]) ).
fof(f481,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(X0,X3)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f381,f379]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X2,double_divide(inverse(X3),X2))) = inverse(double_divide(inverse(double_divide(inverse(double_divide(X3,double_divide(X4,double_divide(X0,X4)))),X1)),double_divide(X0,X1))),
inference(superposition,[],[f140,f379]) ).
fof(f539,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(X0,double_divide(a2,X0))
| ~ spl5_3 ),
inference(superposition,[],[f481,f32]) ).
fof(f787,plain,
( ! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,sF2),X0)) = double_divide(double_divide(sF0,inverse(double_divide(X2,double_divide(X1,X2)))),sF0)
| ~ spl5_2
| ~ spl5_4 ),
inference(superposition,[],[f481,f45]) ).
fof(f892,plain,
( ! [X2,X0,X1] : double_divide(sF2,X1) = double_divide(inverse(double_divide(X0,double_divide(a2,X0))),inverse(double_divide(inverse(double_divide(X2,double_divide(sF3,X2))),X1)))
| ~ spl5_3 ),
inference(superposition,[],[f458,f539]) ).
fof(f927,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,inverse(double_divide(inverse(double_divide(X3,double_divide(double_divide(X4,X0),X3))),X1))) = double_divide(inverse(double_divide(X2,X4)),inverse(double_divide(X0,X1))),
inference(superposition,[],[f458,f458]) ).
fof(f930,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,X0)),inverse(double_divide(X3,double_divide(X4,X3))))))) = double_divide(inverse(double_divide(X1,X4)),inverse(X0)),
inference(superposition,[],[f458,f381]) ).
fof(f980,plain,
! [X3,X1,X4] : double_divide(inverse(double_divide(inverse(double_divide(X4,double_divide(X3,X4))),X3)),inverse(X1)) = X1,
inference(backward_demodulation,[],[f407,f930]) ).
fof(f1038,plain,
( ! [X0,X1] : sF3 = double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1)),sF4)
| ~ spl5_1 ),
inference(superposition,[],[f980,f20]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(double_divide(double_divide(X2,inverse(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1)))),X2)),inverse(double_divide(X3,X4))),X3) = X4,
inference(superposition,[],[f348,f980]) ).
fof(f1067,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2)),inverse(double_divide(X3,X4))),double_divide(inverse(X3),inverse(double_divide(inverse(X0),X0)))) = X4,
inference(superposition,[],[f1,f980]) ).
fof(f1070,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(double_divide(inverse(double_divide(inverse(double_divide(X4,double_divide(X5,X4))),X5)),inverse(X6)),double_divide(inverse(double_divide(X3,inverse(double_divide(X1,X6)))),inverse(double_divide(inverse(X0),X0)))),
inference(superposition,[],[f22,f980]) ).
fof(f1074,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),X0))) = double_divide(X4,double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3)),inverse(double_divide(X1,double_divide(X5,double_divide(X4,X5)))))),
inference(superposition,[],[f93,f980]) ).
fof(f1087,plain,
! [X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),X0))) = double_divide(X4,double_divide(X1,double_divide(X5,double_divide(X4,X5)))),
inference(forward_demodulation,[],[f1074,f980]) ).
fof(f1088,plain,
! [X2,X3,X0,X1,X6] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(X6,double_divide(inverse(double_divide(X3,inverse(double_divide(X1,X6)))),inverse(double_divide(inverse(X0),X0)))),
inference(forward_demodulation,[],[f1070,f980]) ).
fof(f1090,plain,
! [X3,X0,X4] : double_divide(double_divide(X3,X4),double_divide(inverse(X3),inverse(double_divide(inverse(X0),X0)))) = X4,
inference(forward_demodulation,[],[f1067,f980]) ).
fof(f1107,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,double_divide(inverse(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X3))),X2),X0)))),inverse(double_divide(inverse(X4),X4)))) = X3,
inference(superposition,[],[f1090,f301]) ).
fof(f1143,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(double_divide(inverse(X3),X3))) = double_divide(double_divide(inverse(X1),inverse(X0)),X2),
inference(superposition,[],[f301,f1090]) ).
fof(f1165,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(X1,X0),X2) = double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X4,double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(X3),X3))),X4))),X2))),
inference(superposition,[],[f458,f1090]) ).
fof(f1169,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(inverse(double_divide(inverse(X0),inverse(X1))),inverse(double_divide(inverse(double_divide(inverse(X3),X3)),X2))),
inference(forward_demodulation,[],[f1165,f927]) ).
fof(f1170,plain,
! [X2,X3,X1,X6] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(X6,double_divide(double_divide(inverse(X1),inverse(X3)),X6)),
inference(backward_demodulation,[],[f1088,f1143]) ).
fof(f1175,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,X3))),X2)),inverse(inverse(X1))),X0)) = X3,
inference(forward_demodulation,[],[f1107,f1143]) ).
fof(f1179,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,inverse(double_divide(X0,double_divide(X6,double_divide(X5,X6))))) = double_divide(X3,double_divide(double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),X4)),inverse(inverse(X5))),X3)),
inference(superposition,[],[f1175,f93]) ).
fof(f1205,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,X4) = double_divide(X2,double_divide(double_divide(inverse(double_divide(double_divide(X3,inverse(double_divide(X0,double_divide(X1,X0)))),X3)),inverse(inverse(X4))),X2)),
inference(superposition,[],[f1175,f140]) ).
fof(f1353,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,double_divide(X4,double_divide(X2,X4))) = double_divide(X0,double_divide(double_divide(X1,X2),double_divide(X3,double_divide(X0,X3)))),
inference(superposition,[],[f458,f1087]) ).
fof(f1364,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(X0,double_divide(X1,double_divide(X2,double_divide(X0,X2)))),inverse(X1))),inverse(double_divide(X4,double_divide(inverse(inverse(X3)),X4)))) = X3,
inference(superposition,[],[f250,f1087]) ).
fof(f1921,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(X3,X2)),inverse(double_divide(X4,double_divide(inverse(X1),X4)))) = double_divide(X3,double_divide(X0,double_divide(double_divide(inverse(X1),inverse(X2)),X0))),
inference(superposition,[],[f93,f1170]) ).
fof(f1956,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X5,double_divide(X2,X5))) = double_divide(X3,double_divide(double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X0,double_divide(double_divide(inverse(X1),inverse(X2)),X0)))),X4)),inverse(inverse(inverse(X1)))),X3)),
inference(superposition,[],[f1175,f1170]) ).
fof(f2005,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X3,double_divide(double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),X4)),inverse(inverse(X5))),X3)) = double_divide(double_divide(inverse(X0),inverse(X2)),X5),
inference(superposition,[],[f1175,f1170]) ).
fof(f2014,plain,
( ! [X2,X0,X1] : double_divide(sF2,sF3) = double_divide(double_divide(double_divide(inverse(X0),inverse(X2)),a2),double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))
| ~ spl5_3 ),
inference(superposition,[],[f539,f1170]) ).
fof(f2015,plain,
! [X2,X0,X6,X5] : double_divide(X2,inverse(double_divide(X0,double_divide(X6,double_divide(X5,X6))))) = double_divide(double_divide(inverse(X0),inverse(X2)),X5),
inference(backward_demodulation,[],[f1179,f2005]) ).
fof(f2029,plain,
! [X2,X1,X5] : inverse(double_divide(X5,double_divide(X2,X5))) = double_divide(double_divide(inverse(X1),inverse(X2)),inverse(X1)),
inference(forward_demodulation,[],[f1956,f1205]) ).
fof(f2392,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X1,inverse(double_divide(X2,double_divide(X3,X0)))) = double_divide(double_divide(inverse(X2),inverse(X1)),double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X5,inverse(X5)))),X4)),inverse(double_divide(X3,X0)))),
inference(superposition,[],[f2015,f348]) ).
fof(f2589,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X0,X3)))),X1)),double_divide(X0,X1))) = double_divide(double_divide(inverse(X4),inverse(inverse(X2))),inverse(X4)),
inference(superposition,[],[f2029,f379]) ).
fof(f2591,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(inverse(X3),X3)),double_divide(X0,double_divide(X1,double_divide(X2,double_divide(X0,X2)))))) = double_divide(double_divide(inverse(X4),inverse(inverse(X1))),inverse(X4)),
inference(superposition,[],[f2029,f1087]) ).
fof(f2686,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X0,double_divide(double_divide(X1,X2),X0))),X4))),X2) = X4,
inference(superposition,[],[f301,f2029]) ).
fof(f2722,plain,
! [X2,X1,X4] : double_divide(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(double_divide(X2,X4))),X2) = X4,
inference(forward_demodulation,[],[f2686,f927]) ).
fof(f2764,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X0)),double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2)),inverse(double_divide(X4,X0)))) = X4,
inference(superposition,[],[f2722,f348]) ).
fof(f2791,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),X1),double_divide(X2,double_divide(X0,X2)))),inverse(X3)) = X3,
inference(superposition,[],[f2722,f1087]) ).
fof(f2803,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(double_divide(X0,X2))),X0) = X2,
inference(superposition,[],[f301,f2722]) ).
fof(f2859,plain,
! [X0,X1,X4] : double_divide(X0,inverse(double_divide(double_divide(inverse(X1),X1),double_divide(X4,X0)))) = X4,
inference(forward_demodulation,[],[f2764,f2392]) ).
fof(f2893,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(X0)),double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2)),inverse(double_divide(X4,X0)))) = X4,
inference(superposition,[],[f2803,f348]) ).
fof(f2905,plain,
! [X2,X3,X0,X1] : inverse(X0) = double_divide(double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(X0)),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3))),
inference(superposition,[],[f2803,f980]) ).
fof(f2919,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(inverse(double_divide(inverse(X1),X1)),double_divide(X2,double_divide(X0,X2)))),inverse(X3)) = X3,
inference(superposition,[],[f2803,f1087]) ).
fof(f2928,plain,
! [X2,X3,X0,X1] : double_divide(X3,X0) = double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(double_divide(X2,double_divide(double_divide(X3,X0),X2)))),
inference(superposition,[],[f1170,f2803]) ).
fof(f2934,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(inverse(inverse(inverse(double_divide(inverse(X1),X1)))),inverse(double_divide(inverse(X2),X2))),X0)) = X0,
inference(superposition,[],[f1090,f2803]) ).
fof(f2948,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X4,double_divide(X2,X4))),X3))) = double_divide(double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(double_divide(X2,X0))),X3),
inference(superposition,[],[f458,f2803]) ).
fof(f2989,plain,
! [X0,X1,X4] : double_divide(X0,inverse(double_divide(inverse(double_divide(inverse(X1),X1)),double_divide(X4,X0)))) = X4,
inference(forward_demodulation,[],[f2893,f2392]) ).
fof(f3023,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(double_divide(inverse(X2),X2)),X0))) = double_divide(inverse(inverse(double_divide(inverse(X3),X3))),inverse(double_divide(X1,X0))),
inference(superposition,[],[f2989,f2803]) ).
fof(f3035,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X0,X3)) = double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X1)),inverse(double_divide(inverse(double_divide(inverse(X4),X4)),double_divide(X0,X1)))),
inference(superposition,[],[f2989,f458]) ).
fof(f3036,plain,
! [X2,X3,X0,X1,X4] : inverse(X1) = double_divide(inverse(double_divide(inverse(X3),X3)),inverse(double_divide(inverse(double_divide(inverse(X4),X4)),double_divide(X0,double_divide(X1,double_divide(X2,double_divide(X0,X2))))))),
inference(superposition,[],[f2989,f1087]) ).
fof(f3102,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X1),X1)),inverse(double_divide(X2,double_divide(X0,X2)))) = X0,
inference(superposition,[],[f84,f2989]) ).
fof(f3104,plain,
! [X2,X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,double_divide(X2,double_divide(X1,X2)))),
inference(superposition,[],[f1087,f2989]) ).
fof(f3106,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(superposition,[],[f381,f2989]) ).
fof(f3108,plain,
! [X2,X0,X1] : double_divide(X0,inverse(inverse(double_divide(inverse(X1),X1)))) = double_divide(X0,inverse(double_divide(inverse(X2),X2))),
inference(superposition,[],[f2803,f2989]) ).
fof(f3123,plain,
! [X3,X0,X1,X4] : double_divide(double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1)),inverse(double_divide(X3,X4))),X3) = X4,
inference(backward_demodulation,[],[f1065,f3106]) ).
fof(f3129,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,double_divide(X0,X3)))),X1)),double_divide(X0,X1))) = X2,
inference(backward_demodulation,[],[f2589,f3106]) ).
fof(f3130,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(X3),X3)),double_divide(X0,double_divide(X1,double_divide(X2,double_divide(X0,X2)))))) = X1,
inference(backward_demodulation,[],[f2591,f3106]) ).
fof(f3150,plain,
! [X3,X1,X4] : double_divide(inverse(double_divide(inverse(inverse(X1)),inverse(X1))),inverse(double_divide(X4,double_divide(inverse(inverse(X3)),X4)))) = X3,
inference(backward_demodulation,[],[f1364,f3104]) ).
fof(f3186,plain,
! [X3,X1] : double_divide(inverse(inverse(double_divide(inverse(X1),X1))),inverse(X3)) = X3,
inference(backward_demodulation,[],[f2791,f3104]) ).
fof(f3187,plain,
! [X2,X1,X4] : double_divide(X1,double_divide(X4,double_divide(X2,X4))) = inverse(inverse(double_divide(X1,X2))),
inference(backward_demodulation,[],[f1353,f3104]) ).
fof(f3197,plain,
! [X3,X1] : double_divide(inverse(inverse(inverse(double_divide(inverse(X1),X1)))),inverse(X3)) = X3,
inference(backward_demodulation,[],[f2919,f3104]) ).
fof(f3205,plain,
! [X3,X1,X4] : inverse(X1) = double_divide(inverse(double_divide(inverse(X3),X3)),inverse(double_divide(inverse(double_divide(inverse(X4),X4)),inverse(inverse(X1))))),
inference(forward_demodulation,[],[f3036,f3104]) ).
fof(f3228,plain,
! [X3,X1] : inverse(double_divide(inverse(double_divide(inverse(X3),X3)),inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f3130,f3104]) ).
fof(f3233,plain,
! [X2,X3] : inverse(double_divide(X2,double_divide(inverse(X3),X2))) = X3,
inference(backward_demodulation,[],[f500,f3129]) ).
fof(f3243,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),X3) = X4,
inference(forward_demodulation,[],[f3123,f980]) ).
fof(f3247,plain,
! [X2,X0] : inverse(double_divide(double_divide(inverse(X2),X2),X0)) = X0,
inference(backward_demodulation,[],[f2934,f3197]) ).
fof(f3282,plain,
! [X2,X0,X5] : double_divide(double_divide(inverse(X0),inverse(X2)),X5) = double_divide(X2,inverse(inverse(inverse(double_divide(X0,X5))))),
inference(backward_demodulation,[],[f2015,f3187]) ).
fof(f3339,plain,
! [X2,X3,X1,X4] : double_divide(inverse(double_divide(X3,X2)),inverse(double_divide(X4,double_divide(inverse(X1),X4)))) = inverse(inverse(double_divide(X3,double_divide(inverse(X1),inverse(X2))))),
inference(backward_demodulation,[],[f1921,f3187]) ).
fof(f3401,plain,
! [X2,X3,X0] : inverse(X0) = double_divide(X0,inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3))),
inference(backward_demodulation,[],[f2905,f3186]) ).
fof(f3415,plain,
! [X2,X3,X0,X4] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X4,double_divide(X2,X4))),X3))) = double_divide(double_divide(X2,X0),X3),
inference(backward_demodulation,[],[f2948,f3186]) ).
fof(f3423,plain,
! [X2,X0,X1] : double_divide(X1,X0) = double_divide(X1,inverse(double_divide(inverse(double_divide(inverse(X2),X2)),X0))),
inference(backward_demodulation,[],[f3023,f3186]) ).
fof(f3430,plain,
! [X2,X3,X0] : double_divide(X3,X0) = double_divide(X2,double_divide(double_divide(X3,X0),X2)),
inference(backward_demodulation,[],[f2928,f3186]) ).
fof(f3451,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f3150,f3102]) ).
fof(f3603,plain,
! [X3,X1] : inverse(X1) = double_divide(inverse(double_divide(inverse(X3),X3)),X1),
inference(backward_demodulation,[],[f3205,f3228]) ).
fof(f3699,plain,
! [X2,X5] : inverse(X2) = inverse(double_divide(X5,double_divide(X2,X5))),
inference(backward_demodulation,[],[f2029,f3243]) ).
fof(f3898,plain,
( ! [X2,X0,X1] : inverse(double_divide(X2,double_divide(X1,X2))) = double_divide(X0,double_divide(double_divide(X1,sF2),X0))
| ~ spl5_2
| ~ spl5_4 ),
inference(backward_demodulation,[],[f787,f3243]) ).
fof(f3919,plain,
! [X0,X4] : double_divide(X0,double_divide(X4,X0)) = X4,
inference(backward_demodulation,[],[f2859,f3247]) ).
fof(f3945,plain,
! [X2,X3,X1] : inverse(inverse(double_divide(X3,double_divide(inverse(X1),inverse(X2))))) = double_divide(inverse(double_divide(X3,X2)),X1),
inference(forward_demodulation,[],[f3339,f3233]) ).
fof(f4050,plain,
( ! [X2,X0,X1] : double_divide(sF2,sF3) = double_divide(double_divide(X2,inverse(inverse(inverse(double_divide(X0,a2))))),double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))
| ~ spl5_3 ),
inference(backward_demodulation,[],[f2014,f3282]) ).
fof(f4245,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,X3)) = double_divide(inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X1)),double_divide(X0,X1)),
inference(backward_demodulation,[],[f3035,f3423]) ).
fof(f4249,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X2),
inference(backward_demodulation,[],[f1169,f3423]) ).
fof(f4260,plain,
( ! [X0,X1] : double_divide(sF2,X1) = double_divide(double_divide(sF3,double_divide(X0,double_divide(a2,X0))),X1)
| ~ spl5_3 ),
inference(backward_demodulation,[],[f892,f3415]) ).
fof(f4330,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(inverse(X1),X1)) = double_divide(X0,inverse(double_divide(inverse(X2),X2))),
inference(backward_demodulation,[],[f3108,f3451]) ).
fof(f4622,plain,
( ! [X2,X1] : double_divide(X1,sF2) = inverse(double_divide(X2,double_divide(X1,X2)))
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f3898,f3430]) ).
fof(f4857,plain,
( ! [X1] : sF3 = double_divide(inverse(double_divide(inverse(X1),X1)),sF4)
| ~ spl5_1 ),
inference(backward_demodulation,[],[f1038,f3699]) ).
fof(f4864,plain,
! [X3,X0] : inverse(X0) = double_divide(X0,inverse(double_divide(inverse(X3),X3))),
inference(backward_demodulation,[],[f3401,f3699]) ).
fof(f4866,plain,
! [X2,X3,X0] : double_divide(double_divide(X2,X0),X3) = double_divide(inverse(X0),inverse(double_divide(inverse(X2),X3))),
inference(backward_demodulation,[],[f3415,f3699]) ).
fof(f4919,plain,
! [X2,X3,X1] : double_divide(X3,double_divide(inverse(X1),inverse(X2))) = double_divide(inverse(double_divide(X3,X2)),X1),
inference(forward_demodulation,[],[f3945,f3451]) ).
fof(f5073,plain,
( ! [X2,X0] : double_divide(sF2,sF3) = double_divide(double_divide(X2,inverse(inverse(inverse(double_divide(X0,a2))))),double_divide(inverse(X0),inverse(X2)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f4050,f3919]) ).
fof(f5221,plain,
! [X3,X0,X1] : inverse(double_divide(X0,X3)) = double_divide(inverse(double_divide(inverse(X3),X1)),double_divide(X0,X1)),
inference(forward_demodulation,[],[f4245,f3919]) ).
fof(f5238,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(double_divide(sF3,a2),X1)
| ~ spl5_3 ),
inference(forward_demodulation,[],[f4260,f3919]) ).
fof(f5526,plain,
( ! [X1] : inverse(X1) = double_divide(X1,sF2)
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_demodulation,[],[f4622,f3919]) ).
fof(f5735,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2))) = double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X2),
inference(backward_demodulation,[],[f4249,f4866]) ).
fof(f5748,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(backward_demodulation,[],[f4330,f4864]) ).
fof(f5755,plain,
( sF3 = inverse(sF4)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f4857,f3603]) ).
fof(f5950,plain,
( ! [X2,X0] : double_divide(sF2,sF3) = double_divide(inverse(inverse(inverse(inverse(double_divide(X0,a2))))),inverse(double_divide(inverse(X2),double_divide(inverse(X0),inverse(X2)))))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5073,f4866]) ).
fof(f6081,plain,
! [X3,X0,X1] : inverse(double_divide(X0,X3)) = double_divide(inverse(X3),double_divide(inverse(double_divide(X0,X1)),inverse(X1))),
inference(forward_demodulation,[],[f5221,f4919]) ).
fof(f6096,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(inverse(a2),inverse(double_divide(inverse(sF3),X1)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5238,f4866]) ).
fof(f6318,plain,
( sF3 = inverse(a2)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(backward_demodulation,[],[f32,f5526]) ).
fof(f6502,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2))) = double_divide(inverse(X0),double_divide(inverse(X2),inverse(inverse(X1)))),
inference(forward_demodulation,[],[f5735,f4919]) ).
fof(f6694,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(inverse(inverse(inverse(inverse(double_divide(X0,a2))))),inverse(inverse(X0)))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5950,f3919]) ).
fof(f6820,plain,
! [X3,X0,X1] : inverse(double_divide(X0,X3)) = double_divide(inverse(X3),double_divide(X0,double_divide(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f6081,f4919]) ).
fof(f6833,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(inverse(a2),inverse(double_divide(sF4,X1)))
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f6096,f20]) ).
fof(f7204,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2))) = double_divide(inverse(X0),double_divide(inverse(X2),X1)),
inference(forward_demodulation,[],[f6502,f3451]) ).
fof(f7373,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(inverse(inverse(inverse(inverse(double_divide(X0,a2))))),X0)
| ~ spl5_3 ),
inference(forward_demodulation,[],[f6694,f3451]) ).
fof(f7489,plain,
! [X3,X0] : inverse(double_divide(X0,X3)) = double_divide(inverse(X3),inverse(X0)),
inference(forward_demodulation,[],[f6820,f5748]) ).
fof(f7501,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(sF3,inverse(double_divide(sF4,X1)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f6833,f6318]) ).
fof(f7811,plain,
! [X2,X3,X0] : double_divide(double_divide(X2,X0),X3) = double_divide(inverse(X0),double_divide(inverse(X3),X2)),
inference(backward_demodulation,[],[f4866,f7204]) ).
fof(f7964,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(inverse(inverse(double_divide(X0,a2))),X0)
| ~ spl5_3 ),
inference(forward_demodulation,[],[f7373,f3451]) ).
fof(f8078,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(sF3,double_divide(inverse(X1),inverse(sF4)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f7501,f7489]) ).
fof(f8485,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(double_divide(X0,a2),X0)
| ~ spl5_3 ),
inference(forward_demodulation,[],[f7964,f3451]) ).
fof(f8593,plain,
( ! [X1] : double_divide(sF2,X1) = double_divide(sF3,double_divide(inverse(X1),sF3))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f8078,f5755]) ).
fof(f8970,plain,
( ! [X0] : double_divide(sF2,sF3) = double_divide(inverse(a2),double_divide(inverse(X0),X0))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f8485,f7811]) ).
fof(f9068,plain,
( ! [X1] : inverse(X1) = double_divide(sF2,X1)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f8593,f3919]) ).
fof(f9401,plain,
( double_divide(sF2,sF3) = inverse(inverse(a2))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f8970,f5748]) ).
fof(f9781,plain,
( a2 = double_divide(sF2,sF3)
| ~ spl5_3 ),
inference(forward_demodulation,[],[f9401,f3451]) ).
fof(f10127,plain,
( a2 = inverse(sF3)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f9781,f9068]) ).
fof(f10434,plain,
( a2 = sF4
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f10127,f20]) ).
fof(f10701,plain,
( $false
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_6 ),
inference(forward_subsumption_resolution,[],[f10434,f56]) ).
fof(f10702,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_6 ),
inference(avatar_contradiction_clause,[],[f10701]) ).
cnf(s1,plain,
spl5_1,
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
spl5_3,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f41]) ).
cnf(s6,plain,
~ spl5_6,
inference(sat_conversion,[],[f57]) ).
cnf(s8,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_6 ),
inference(sat_conversion,[],[f10702]) ).
cnf(s9,plain,
~ spl5_1,
inference(rat,[],[s8,s6,s4,s3,s2]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9]) ).
fof(f12276,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP503-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:06:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.57/2.35 % (2173002)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.57/2.35 % (2173018)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2270190310:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 9.57/2.35 % (2173013)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1723973160:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 9.57/2.35 % (2173016)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1443133434:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 9.57/2.35 % (2173019)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1337369858:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 9.57/2.35 % (2173014)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3744935110:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 9.57/2.35 % (2173015)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3857508577:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 9.57/2.35 % (2173017)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=82148326:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 9.57/2.35 % (2173018)Instruction limit reached!
% 9.57/2.35 % (2173018)------------------------------
% 9.57/2.35 % (2173018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173018)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173018)Termination reason: Instruction limit
% 9.57/2.35 % (2173018)Termination phase: Saturation
% 9.57/2.35 % (2173018)Time elapsed: 0.085 s
% 9.57/2.35 % (2173018)Peak memory usage: 91 MB
% 9.57/2.35 % (2173018)Instructions burned: 259 (million)
% 9.57/2.35 % (2173016)Instruction limit reached!
% 9.57/2.35 % (2173016)------------------------------
% 9.57/2.35 % (2173016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173016)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173016)Termination reason: Instruction limit
% 9.57/2.35 % (2173016)Termination phase: Saturation
% 9.57/2.35 % (2173016)Time elapsed: 0.081 s
% 9.57/2.35 % (2173016)Peak memory usage: 89 MB
% 9.57/2.35 % (2173016)Instructions burned: 137 (million)
% 9.57/2.35 % (2173017)Instruction limit reached!
% 9.57/2.35 % (2173017)------------------------------
% 9.57/2.35 % (2173017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173017)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173017)Termination reason: Instruction limit
% 9.57/2.35 % (2173017)Termination phase: Saturation
% 9.57/2.35 % (2173017)Time elapsed: 0.119 s
% 9.57/2.35 % (2173017)Peak memory usage: 89 MB
% 9.57/2.35 % (2173017)Instructions burned: 181 (million)
% 9.57/2.35 % (2173029)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=815100690:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 9.57/2.35 % (2173030)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=962993304:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.57/2.35 % (2173032)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3309500592:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 9.57/2.35 % (2173032)Instruction limit reached!
% 9.57/2.35 % (2173032)------------------------------
% 9.57/2.35 % (2173032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173032)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173032)Termination reason: Instruction limit
% 9.57/2.35 % (2173032)Termination phase: Saturation
% 9.57/2.35 % (2173032)Time elapsed: 0.131 s
% 9.57/2.35 % (2173032)Peak memory usage: 92 MB
% 9.57/2.35 % (2173032)Instructions burned: 216 (million)
% 9.57/2.35 % (2173080)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=463328027:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 9.57/2.35 % (2173019)Instruction limit reached!
% 9.57/2.35 % (2173019)------------------------------
% 9.57/2.35 % (2173019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173019)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173019)Termination reason: Instruction limit
% 9.57/2.35 % (2173019)Termination phase: Saturation
% 9.57/2.35 % (2173019)Time elapsed: 0.621 s
% 9.57/2.35 % (2173019)Peak memory usage: 98 MB
% 9.57/2.35 % (2173019)Instructions burned: 1189 (million)
% 9.57/2.35 % (2173080)Instruction limit reached!
% 9.57/2.35 % (2173080)------------------------------
% 9.57/2.35 % (2173080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173080)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173080)Termination reason: Instruction limit
% 9.57/2.35 % (2173080)Termination phase: Saturation
% 9.57/2.35 % (2173080)Time elapsed: 0.172 s
% 9.57/2.35 % (2173080)Peak memory usage: 92 MB
% 9.57/2.35 % (2173080)Instructions burned: 318 (million)
% 9.57/2.35 % (2173082)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3033862163:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.57/2.35 % (2173089)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3890399240:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.57/2.35 % (2173013)First to succeed.
% 9.57/2.35 % (2173013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2173002"
% 9.57/2.35 % (2173029)Instruction limit reached!
% 9.57/2.35 % (2173029)------------------------------
% 9.57/2.35 % (2173029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.35 % (2173029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.35 % (2173029)CaDiCaL version: 2.1.3
% 9.57/2.35 % (2173029)Termination reason: Instruction limit
% 9.57/2.35 % (2173029)Termination phase: Saturation
% 9.57/2.35 % (2173029)Time elapsed: 1.014 s
% 9.57/2.35 % (2173029)Peak memory usage: 141 MB
% 9.57/2.35 % (2173029)Instructions burned: 2051 (million)
% 9.57/2.35 % (2173013)Refutation found. Thanks to Tanya!
% 9.57/2.35 % SZS status Unsatisfiable for theBenchmark
% 9.57/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 10.10/2.54 % (2173013)------------------------------
% 10.10/2.54 % (2173013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.10/2.54 % (2173013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.10/2.54 % (2173013)CaDiCaL version: 2.1.3
% 10.10/2.54 % (2173013)Termination reason: Refutation
% 10.10/2.54 % (2173013)Time elapsed: 1.031 s
% 10.10/2.54 % (2173013)Peak memory usage: 142 MB
% 10.10/2.54 % (2173013)Instructions burned: 2475 (million)
% 10.10/2.54 % (2173013)------------------------------
% 10.10/2.54 % (2173013)------------------------------
% 10.10/2.54 % (2173002)Success in time 1.318 s
% 10.10/2.54 % Vampire exiting
%------------------------------------------------------------------------------