%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:12:35 AM UTC 2026
% Result : Unsatisfiable 11.23s 2.24s
% Output : Refutation 11.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 26
% Syntax : Number of formulae : 195 ( 80 unt; 21 def)
% Number of atoms : 382 ( 190 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 374 ( 187 ~; 183 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
sF0 = double_divide(a1,identity),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
double_divide(a1,identity) = sF0,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF1 = double_divide(a1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f12,plain,
double_divide(a1,sF0) = sF1,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF2 = double_divide(sF1,identity),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f14,plain,
double_divide(sF1,identity) = sF2,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF3 = double_divide(a2,identity),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f16,plain,
double_divide(a2,identity) = sF3,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF4 = double_divide(sF3,identity),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f18,plain,
double_divide(sF3,identity) = sF4,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF5 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f20,plain,
double_divide(b3,a3) = sF5,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF6 = double_divide(sF5,identity),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f22,plain,
double_divide(sF5,identity) = sF6,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF7 = double_divide(c3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f24,plain,
double_divide(c3,sF6) = sF7,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF8 = double_divide(sF7,identity),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f26,plain,
double_divide(sF7,identity) = sF8,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF9 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f28,plain,
double_divide(c3,b3) = sF9,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF10 = double_divide(sF9,identity),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f30,plain,
double_divide(sF9,identity) = sF10,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF11 = double_divide(sF10,a3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f32,plain,
double_divide(sF10,a3) = sF11,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF12 = double_divide(sF11,identity),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f34,plain,
double_divide(sF11,identity) = sF12,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF13 = double_divide(b4,a4),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f36,plain,
double_divide(b4,a4) = sF13,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF14 = double_divide(sF13,identity),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f38,plain,
double_divide(sF13,identity) = sF14,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF15 = double_divide(a4,b4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f40,plain,
double_divide(a4,b4) = sF15,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF16 = double_divide(sF15,identity),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f42,plain,
double_divide(sF15,identity) = sF16,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
( identity != sF2
| a2 != sF4
| sF8 != sF12
| sF14 != sF16 ),
inference(definition_folding,[],[f8,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12,f10]) ).
fof(f45,definition,
( spl17_1
<=> sF14 = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f47,plain,
( sF14 != sF16
| spl17_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl17_2
<=> sF8 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f51,plain,
( sF8 != sF12
| spl17_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl17_3
<=> a2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f54,plain,
( a2 = sF4
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f57,definition,
( spl17_4
<=> identity = sF2 ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f58,plain,
( identity = sF2
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f43,f57,f53,f49,f45]) ).
fof(f63,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f76,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,sF2),sF2)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f14]) ).
fof(f91,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f7,f10]) ).
fof(f93,plain,
identity = double_divide(sF1,sF2),
inference(superposition,[],[f7,f14]) ).
fof(f94,plain,
identity = double_divide(sF3,sF4),
inference(superposition,[],[f7,f18]) ).
fof(f101,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f103,plain,
identity = sF1,
inference(backward_demodulation,[],[f12,f91]) ).
fof(f104,plain,
identity = double_divide(identity,sF2),
inference(backward_demodulation,[],[f93,f103]) ).
fof(f107,plain,
double_divide(identity,identity) = sF2,
inference(backward_demodulation,[],[f14,f103]) ).
fof(f108,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),sF2) = X1,
inference(backward_demodulation,[],[f1,f107]) ).
fof(f111,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),
inference(backward_demodulation,[],[f63,f107]) ).
fof(f123,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,sF2),sF2)),sF2) = X0,
inference(backward_demodulation,[],[f76,f107]) ).
fof(f136,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),sF2) = X0,
inference(backward_demodulation,[],[f101,f107]) ).
fof(f170,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X1,sF2)),sF2),
inference(superposition,[],[f111,f7]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : double_divide(sF2,double_divide(double_divide(X1,X0),double_divide(double_divide(X2,double_divide(double_divide(X0,double_divide(X3,X2)),double_divide(X3,identity))),identity))) = double_divide(double_divide(identity,double_divide(X1,sF2)),sF2),
inference(superposition,[],[f111,f108]) ).
fof(f190,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),
inference(superposition,[],[f111,f7]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,double_divide(double_divide(double_divide(X2,double_divide(double_divide(X0,double_divide(X3,X2)),double_divide(X3,identity))),double_divide(X4,X1)),double_divide(X4,identity))) = double_divide(double_divide(identity,X0),sF2),
inference(superposition,[],[f111,f108]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] : double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(X1,sF2)),double_divide(X4,X3)),double_divide(X4,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity)))),sF2),
inference(superposition,[],[f111,f111]) ).
fof(f217,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,sF2),identity))) = X0,
inference(backward_demodulation,[],[f123,f190]) ).
fof(f218,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(backward_demodulation,[],[f111,f190]) ).
fof(f248,plain,
! [X2,X3,X0,X1] : double_divide(sF2,double_divide(double_divide(X1,X0),double_divide(double_divide(X2,double_divide(double_divide(X0,double_divide(X3,X2)),double_divide(X3,identity))),identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f172,f190]) ).
fof(f250,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f170,f190]) ).
fof(f264,plain,
! [X0,X1,X4] : double_divide(double_divide(identity,X0),sF2) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(X4,X1)),double_divide(X4,identity))),
inference(backward_demodulation,[],[f202,f218]) ).
fof(f265,plain,
! [X3,X1,X4] : double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(X1,sF2)),double_divide(X4,X3)),double_divide(X4,identity))) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),sF2),
inference(backward_demodulation,[],[f203,f218]) ).
fof(f284,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(sF2,double_divide(double_divide(X1,X0),double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity))),
inference(forward_demodulation,[],[f248,f218]) ).
fof(f287,plain,
! [X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),sF2) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,sF2)),identity))),
inference(forward_demodulation,[],[f265,f218]) ).
fof(f288,plain,
! [X0] : double_divide(double_divide(identity,X0),sF2) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity))),
inference(forward_demodulation,[],[f264,f218]) ).
fof(f321,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(sF2,double_divide(double_divide(X0,identity),double_divide(identity,identity))),
inference(superposition,[],[f218,f104]) ).
fof(f322,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(sF2,double_divide(double_divide(X0,identity),sF2)),
inference(forward_demodulation,[],[f321,f107]) ).
fof(f338,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF2)),sF2),
inference(superposition,[],[f136,f107]) ).
fof(f340,plain,
a2 = double_divide(double_divide(identity,double_divide(identity,sF3)),sF2),
inference(superposition,[],[f136,f16]) ).
fof(f351,plain,
identity = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(forward_demodulation,[],[f338,f190]) ).
fof(f352,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f351,f7]) ).
fof(f353,plain,
identity = sF2,
inference(backward_demodulation,[],[f107,f352]) ).
fof(f354,plain,
spl17_4,
inference(avatar_split_clause,[],[f353,f57]) ).
fof(f357,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0
| ~ spl17_4 ),
inference(backward_demodulation,[],[f136,f58]) ).
fof(f358,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X0,identity)),identity)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f190,f58]) ).
fof(f360,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0
| ~ spl17_4 ),
inference(backward_demodulation,[],[f217,f58]) ).
fof(f364,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(identity,double_divide(double_divide(X1,X0),double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f284,f58]) ).
fof(f365,plain,
( ! [X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),identity) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),identity)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f287,f58]) ).
fof(f366,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity))) = double_divide(double_divide(identity,X0),identity)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f288,f58]) ).
fof(f367,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(X0,identity),identity))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f322,f58]) ).
fof(f379,plain,
( a2 = double_divide(double_divide(identity,double_divide(identity,sF3)),identity)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f340,f58]) ).
fof(f388,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0
| ~ spl17_4 ),
inference(forward_demodulation,[],[f360,f367]) ).
fof(f390,plain,
( ! [X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f365,f358]) ).
fof(f391,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(identity,double_divide(double_divide(X1,X0),X0))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f364,f357]) ).
fof(f392,plain,
( ! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(identity,X0))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f366,f357]) ).
fof(f393,plain,
( ! [X1] : double_divide(X1,identity) = double_divide(identity,X1)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f390,f388]) ).
fof(f396,plain,
( a2 = double_divide(identity,double_divide(identity,double_divide(identity,sF3)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f379,f392]) ).
fof(f413,plain,
( ! [X0] : identity = double_divide(X0,double_divide(identity,X0))
| ~ spl17_4 ),
inference(superposition,[],[f7,f393]) ).
fof(f415,plain,
( sF4 = double_divide(identity,sF3)
| ~ spl17_4 ),
inference(superposition,[],[f18,f393]) ).
fof(f416,plain,
( sF6 = double_divide(identity,sF5)
| ~ spl17_4 ),
inference(superposition,[],[f22,f393]) ).
fof(f417,plain,
( sF8 = double_divide(identity,sF7)
| ~ spl17_4 ),
inference(superposition,[],[f26,f393]) ).
fof(f418,plain,
( sF10 = double_divide(identity,sF9)
| ~ spl17_4 ),
inference(superposition,[],[f30,f393]) ).
fof(f420,plain,
( sF14 = double_divide(identity,sF13)
| ~ spl17_4 ),
inference(superposition,[],[f38,f393]) ).
fof(f424,plain,
( a2 = double_divide(identity,double_divide(identity,sF4))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f396,f415]) ).
fof(f617,plain,
( double_divide(identity,double_divide(identity,double_divide(identity,identity))) = double_divide(sF4,double_divide(a2,double_divide(identity,identity)))
| ~ spl17_4 ),
inference(superposition,[],[f218,f424]) ).
fof(f619,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,sF4),double_divide(double_divide(X0,a2),double_divide(identity,identity)))
| ~ spl17_4 ),
inference(superposition,[],[f218,f424]) ).
fof(f620,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,sF4),double_divide(double_divide(X0,a2),identity))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f619,f352]) ).
fof(f622,plain,
( double_divide(identity,double_divide(identity,identity)) = double_divide(sF4,double_divide(a2,identity))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f617,f352]) ).
fof(f623,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,sF4),double_divide(identity,double_divide(X0,a2)))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f620,f393]) ).
fof(f625,plain,
( double_divide(identity,double_divide(identity,identity)) = double_divide(sF4,sF3)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f622,f16]) ).
fof(f626,plain,
( identity = double_divide(sF4,sF3)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f625,f7]) ).
fof(f628,plain,
( double_divide(identity,double_divide(identity,sF3)) = double_divide(identity,double_divide(identity,double_divide(sF4,identity)))
| ~ spl17_4 ),
inference(superposition,[],[f391,f626]) ).
fof(f631,plain,
( double_divide(identity,double_divide(identity,sF3)) = double_divide(identity,double_divide(identity,double_divide(identity,sF4)))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f628,f393]) ).
fof(f632,plain,
( double_divide(identity,double_divide(identity,sF3)) = double_divide(identity,a2)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f631,f424]) ).
fof(f633,plain,
( double_divide(a2,identity) = double_divide(identity,double_divide(identity,sF3))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f632,f393]) ).
fof(f634,plain,
( double_divide(a2,identity) = double_divide(identity,sF4)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f633,f415]) ).
fof(f635,plain,
( sF3 = double_divide(identity,sF4)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f634,f16]) ).
fof(f636,plain,
( a2 = double_divide(identity,sF3)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f424,f635]) ).
fof(f641,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(sF3,double_divide(identity,double_divide(X0,a2)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f623,f635]) ).
fof(f645,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(sF3,double_divide(identity,double_divide(X0,a2)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f218,f641]) ).
fof(f669,plain,
( ! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(sF3,double_divide(identity,double_divide(X1,a2)))
| ~ spl17_4 ),
inference(backward_demodulation,[],[f250,f641]) ).
fof(f675,plain,
( ! [X0] : double_divide(identity,double_divide(sF3,double_divide(identity,double_divide(X0,a2)))) = X0
| ~ spl17_4 ),
inference(backward_demodulation,[],[f388,f641]) ).
fof(f695,plain,
( a2 = sF4
| ~ spl17_4 ),
inference(backward_demodulation,[],[f415,f636]) ).
fof(f712,plain,
( spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f695,f57,f53]) ).
fof(f715,plain,
( identity = double_divide(sF3,a2)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f94,f54]) ).
fof(f847,plain,
( ! [X0] : double_divide(sF3,double_divide(identity,double_divide(X0,a2))) = double_divide(a2,double_divide(double_divide(X0,identity),double_divide(sF3,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f645,f715]) ).
fof(f848,plain,
( ! [X0] : double_divide(sF3,double_divide(identity,double_divide(X0,a2))) = double_divide(a2,double_divide(double_divide(X0,identity),double_divide(identity,sF3)))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f847,f393]) ).
fof(f850,plain,
( ! [X0] : double_divide(sF3,double_divide(identity,double_divide(X0,a2))) = double_divide(a2,double_divide(double_divide(X0,identity),a2))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f848,f636]) ).
fof(f853,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity))) = double_divide(a2,double_divide(double_divide(X0,identity),a2))
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f645,f850]) ).
fof(f866,plain,
( ! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))) = double_divide(a2,double_divide(double_divide(X1,identity),a2))
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f669,f850]) ).
fof(f868,plain,
( ! [X0] : double_divide(identity,double_divide(a2,double_divide(double_divide(X0,identity),a2))) = X0
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f675,f850]) ).
fof(f1210,plain,
( ! [X0] : double_divide(a2,double_divide(double_divide(X0,identity),a2)) = double_divide(X0,double_divide(identity,double_divide(identity,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f853,f413]) ).
fof(f1222,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(a2,double_divide(double_divide(X0,identity),a2))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1210,f7]) ).
fof(f1242,plain,
( ! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f853,f1222]) ).
fof(f1255,plain,
( ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f866,f1222]) ).
fof(f1257,plain,
( ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f868,f1222]) ).
fof(f1307,plain,
( ! [X0,X1] : double_divide(identity,X1) = double_divide(identity,double_divide(double_divide(X1,X0),X0))
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f391,f1257]) ).
fof(f1471,plain,
( ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1257,f393]) ).
fof(f1485,plain,
( ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),double_divide(identity,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1242,f1257]) ).
fof(f1486,plain,
( ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),identity))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1485,f352]) ).
fof(f1490,plain,
( ! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,X0)))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1486,f393]) ).
fof(f1624,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,X0)) = double_divide(double_divide(X0,X1),X1)
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1471,f1307]) ).
fof(f1642,plain,
( ! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1624,f1471]) ).
fof(f1701,plain,
( ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,X2)),identity) = double_divide(X2,double_divide(X0,double_divide(X1,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1242,f1642]) ).
fof(f1708,plain,
( ! [X2,X0,X1] : double_divide(identity,double_divide(X0,double_divide(X1,X2))) = double_divide(X2,double_divide(X0,double_divide(X1,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1701,f393]) ).
fof(f2506,plain,
( ! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity)))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1255,f393]) ).
fof(f2551,plain,
( ! [X0,X1] : double_divide(identity,X0) = double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X1,identity))))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f2506,f1708]) ).
fof(f2566,plain,
( ! [X0,X1] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X1,double_divide(identity,X0)))))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f2551,f1708]) ).
fof(f2578,plain,
( ! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(X1,double_divide(identity,X0)))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f2566,f1471]) ).
fof(f3512,plain,
( ! [X0,X1] : double_divide(X1,double_divide(X1,X0)) = X0
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f2578,f1471]) ).
fof(f3613,plain,
( ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,identity)) = double_divide(X1,double_divide(X0,identity))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3512,f1242]) ).
fof(f3631,plain,
( ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3512,f1642]) ).
fof(f3696,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1642,f3512]) ).
fof(f3892,plain,
( ! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1)
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3512,f3696]) ).
fof(f3995,plain,
( sF5 = double_divide(a3,b3)
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f20,f3892]) ).
fof(f3997,plain,
( double_divide(a4,b4) = sF13
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f36,f3892]) ).
fof(f4020,plain,
( sF13 = sF15
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f40,f3997]) ).
fof(f4047,plain,
( double_divide(sF13,identity) = sF16
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f42,f4020]) ).
fof(f4116,plain,
( sF16 = double_divide(identity,sF13)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f4047,f393]) ).
fof(f4152,plain,
( sF14 = sF16
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f4116,f420]) ).
fof(f4167,plain,
( $false
| spl17_1
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f4152,f47]) ).
fof(f4168,plain,
( spl17_1
| ~ spl17_3
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f4167]) ).
fof(f5374,plain,
( double_divide(c3,identity) = double_divide(double_divide(b3,identity),double_divide(identity,sF9))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1490,f28]) ).
fof(f5429,plain,
( ! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(identity,double_divide(X0,X1))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3631,f1490]) ).
fof(f5482,plain,
( double_divide(c3,identity) = double_divide(double_divide(b3,identity),sF10)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f5374,f418]) ).
fof(f5568,plain,
( double_divide(c3,identity) = double_divide(sF10,double_divide(b3,identity))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f5482,f3892]) ).
fof(f6026,plain,
( ! [X0] : double_divide(double_divide(b3,identity),double_divide(X0,identity)) = double_divide(double_divide(X0,double_divide(c3,identity)),double_divide(sF10,identity))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3613,f5568]) ).
fof(f6102,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(X2,identity))
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f1642,f3613]) ).
fof(f6171,plain,
( ! [X0] : double_divide(double_divide(b3,identity),double_divide(X0,identity)) = double_divide(c3,double_divide(sF10,X0))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f6026,f6102]) ).
fof(f6290,plain,
( ! [X0] : double_divide(c3,double_divide(sF10,X0)) = double_divide(identity,double_divide(b3,X0))
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f6171,f5429]) ).
fof(f7289,plain,
( double_divide(identity,double_divide(b3,a3)) = double_divide(c3,sF11)
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f6290,f32]) ).
fof(f7340,plain,
( double_divide(identity,double_divide(a3,b3)) = double_divide(c3,sF11)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7289,f3892]) ).
fof(f7359,plain,
( double_divide(identity,sF5) = double_divide(c3,sF11)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7340,f3995]) ).
fof(f7370,plain,
( sF6 = double_divide(c3,sF11)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7359,f416]) ).
fof(f7376,plain,
( double_divide(c3,sF6) = sF11
| ~ spl17_3
| ~ spl17_4 ),
inference(superposition,[],[f3512,f7370]) ).
fof(f7383,plain,
( sF7 = sF11
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7376,f24]) ).
fof(f7387,plain,
( double_divide(sF7,identity) = sF12
| ~ spl17_3
| ~ spl17_4 ),
inference(backward_demodulation,[],[f34,f7383]) ).
fof(f7471,plain,
( sF12 = double_divide(identity,sF7)
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7387,f393]) ).
fof(f7522,plain,
( sF8 = sF12
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f7471,f417]) ).
fof(f7546,plain,
( $false
| spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f7522,f51]) ).
fof(f7547,plain,
( spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f7546]) ).
cnf(s1,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
spl17_4,
inference(sat_conversion,[],[f354]) ).
cnf(s3,plain,
( spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f712]) ).
cnf(s5,plain,
( spl17_1
| ~ spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f4168]) ).
cnf(s7,plain,
( spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f7547]) ).
cnf(s8,plain,
spl17_3,
inference(rat,[],[s3,s2]) ).
cnf(s9,plain,
spl17_2,
inference(rat,[],[s7,s2,s8]) ).
cnf(s10,plain,
spl17_1,
inference(rat,[],[s5,s2,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s2,s8,s9,s10]) ).
fof(f7576,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:20:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/2.24 % (239140)Input is clausal, will run a generic CNF schedule.
% 11.23/2.24 % (239156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3418154158:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.23/2.24 % (239154)lrs+10_1_sil=8000:sp=occurrence:random_seed=3129934760:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.23/2.24 % (239152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3804469940:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.23/2.24 % (239153)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2418318497:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.23/2.24 % (239157)dis-21_1_sil=8000:lcm=predicate:random_seed=886783686:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.23/2.24 % (239151)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2098692222:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.23/2.24 % (239155)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=770821606:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.23/2.24 % (239157)Refutation not found, incomplete strategy
% 11.23/2.24 % (239157)------------------------------
% 11.23/2.24 % (239157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239157)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239157)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.24 % (239157)Time elapsed: 0.001 s
% 11.23/2.24 % (239157)Peak memory usage: 88 MB
% 11.23/2.24 % (239154)Instruction limit reached!
% 11.23/2.24 % (239154)------------------------------
% 11.23/2.24 % (239154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239154)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239154)Termination reason: Instruction limit
% 11.23/2.24 % (239154)Termination phase: Saturation
% 11.23/2.24 % (239154)Time elapsed: 0.063 s
% 11.23/2.24 % (239154)Peak memory usage: 89 MB
% 11.23/2.24 % (239154)Instructions burned: 107 (million)
% 11.23/2.24 % (239155)Instruction limit reached!
% 11.23/2.24 % (239155)------------------------------
% 11.23/2.24 % (239155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239155)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239155)Termination reason: Instruction limit
% 11.23/2.24 % (239155)Termination phase: Saturation
% 11.23/2.24 % (239155)Time elapsed: 0.068 s
% 11.23/2.24 % (239155)Peak memory usage: 89 MB
% 11.23/2.24 % (239155)Instructions burned: 116 (million)
% 11.23/2.24 % (239156)Instruction limit reached!
% 11.23/2.24 % (239156)------------------------------
% 11.23/2.24 % (239156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239156)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239156)Termination reason: Instruction limit
% 11.23/2.24 % (239156)Termination phase: Saturation
% 11.23/2.24 % (239156)Time elapsed: 0.103 s
% 11.23/2.24 % (239156)Peak memory usage: 90 MB
% 11.23/2.24 % (239156)Instructions burned: 181 (million)
% 11.23/2.24 % (239165)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1122464660:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.23/2.24 % (239165)Refutation not found, incomplete strategy
% 11.23/2.24 % (239165)------------------------------
% 11.23/2.24 % (239165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239165)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239165)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.24 % (239165)Time elapsed: 0.001 s
% 11.23/2.24 % (239165)Peak memory usage: 88 MB
% 11.23/2.24 % (239166)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=64123057:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.23/2.24 % (239166)Refutation not found, incomplete strategy
% 11.23/2.24 % (239166)------------------------------
% 11.23/2.24 % (239166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239166)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239166)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.24 % (239166)Time elapsed: 0.002 s
% 11.23/2.24 % (239166)Peak memory usage: 88 MB
% 11.23/2.24 % (239157)------------------------------
% 11.23/2.24 % (239157)------------------------------
% 11.23/2.24 % (239167)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3454671106:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.23/2.24 % (239167)Refutation not found, incomplete strategy
% 11.23/2.24 % (239167)------------------------------
% 11.23/2.24 % (239167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239167)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239167)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.24 % (239167)Time elapsed: 0.002 s
% 11.23/2.24 % (239167)Peak memory usage: 88 MB
% 11.23/2.24 % (239167)Instructions burned: 1 (million)
% 11.23/2.24 % (239165)------------------------------
% 11.23/2.24 % (239165)------------------------------
% 11.23/2.24 % (239170)lrs+10_64_to=lpo:sil=8000:random_seed=1529457534:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.23/2.24 % (239166)------------------------------
% 11.23/2.24 % (239166)------------------------------
% 11.23/2.24 % (239172)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2465579390:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.23/2.24 % (239170)Instruction limit reached!
% 11.23/2.24 % (239170)------------------------------
% 11.23/2.24 % (239170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239170)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239170)Termination reason: Instruction limit
% 11.23/2.24 % (239170)Termination phase: Saturation
% 11.23/2.24 % (239170)Time elapsed: 0.075 s
% 11.23/2.24 % (239170)Peak memory usage: 88 MB
% 11.23/2.24 % (239170)Instructions burned: 127 (million)
% 11.23/2.24 % (239167)------------------------------
% 11.23/2.24 % (239167)------------------------------
% 11.23/2.24 % (239172)Instruction limit reached!
% 11.23/2.24 % (239172)------------------------------
% 11.23/2.24 % (239172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239172)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239172)Termination reason: Instruction limit
% 11.23/2.24 % (239172)Termination phase: Saturation
% 11.23/2.24 % (239172)Time elapsed: 0.063 s
% 11.23/2.24 % (239172)Peak memory usage: 89 MB
% 11.23/2.24 % (239172)Instructions burned: 197 (million)
% 11.23/2.24 % (239175)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=332790538:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.23/2.24 % (239176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2667142029:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.23/2.24 % (239178)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=869565337:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.23/2.24 % (239178)Refutation not found, incomplete strategy
% 11.23/2.24 % (239178)------------------------------
% 11.23/2.24 % (239178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239178)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239178)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.24 % (239178)Time elapsed: 0.001 s
% 11.23/2.24 % (239178)Peak memory usage: 88 MB
% 11.23/2.24 % (239177)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1730240981:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.23/2.24 % (239175)Instruction limit reached!
% 11.23/2.24 % (239175)------------------------------
% 11.23/2.24 % (239175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239175)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239175)Termination reason: Instruction limit
% 11.23/2.24 % (239175)Termination phase: Saturation
% 11.23/2.24 % (239175)Time elapsed: 0.087 s
% 11.23/2.24 % (239175)Peak memory usage: 91 MB
% 11.23/2.24 % (239175)Instructions burned: 158 (million)
% 11.23/2.24 % (239177)Instruction limit reached!
% 11.23/2.24 % (239177)------------------------------
% 11.23/2.24 % (239177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239177)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239177)Termination reason: Instruction limit
% 11.23/2.24 % (239177)Termination phase: Saturation
% 11.23/2.24 % (239177)Time elapsed: 0.065 s
% 11.23/2.24 % (239177)Peak memory usage: 89 MB
% 11.23/2.24 % (239177)Instructions burned: 108 (million)
% 11.23/2.24 % (239178)------------------------------
% 11.23/2.24 % (239178)------------------------------
% 11.23/2.24 % (239183)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=899027613:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.23/2.24 % (239184)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1003971955:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.23/2.24 % (239185)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2997842387:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.23/2.24 % (239185)Instruction limit reached!
% 11.23/2.24 % (239185)------------------------------
% 11.23/2.24 % (239185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239185)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239185)Termination reason: Instruction limit
% 11.23/2.24 % (239185)Termination phase: Saturation
% 11.23/2.24 % (239185)Time elapsed: 0.043 s
% 11.23/2.24 % (239185)Peak memory usage: 89 MB
% 11.23/2.24 % (239185)Instructions burned: 138 (million)
% 11.23/2.24 % (239183)Instruction limit reached!
% 11.23/2.24 % (239183)------------------------------
% 11.23/2.24 % (239183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239183)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239183)Termination reason: Instruction limit
% 11.23/2.24 % (239183)Termination phase: Saturation
% 11.23/2.24 % (239183)Time elapsed: 0.131 s
% 11.23/2.24 % (239183)Peak memory usage: 91 MB
% 11.23/2.24 % (239183)Instructions burned: 243 (million)
% 11.23/2.24 % (239189)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=578271858:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 11.23/2.24 % (239190)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1316690442:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.23/2.24 % (239153)First to succeed.
% 11.23/2.24 % (239153)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-239140"
% 11.23/2.24 % (239190)Also succeeded, but the first one will report.
% 11.23/2.24 % (239189)Instruction limit reached!
% 11.23/2.24 % (239189)------------------------------
% 11.23/2.24 % (239189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.24 % (239189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.24 % (239189)CaDiCaL version: 2.1.3
% 11.23/2.24 % (239189)Termination reason: Instruction limit
% 11.23/2.24 % (239189)Termination phase: Saturation
% 11.23/2.24 % (239189)Time elapsed: 0.165 s
% 11.23/2.24 % (239189)Peak memory usage: 93 MB
% 11.23/2.24 % (239189)Instructions burned: 501 (million)
% 11.23/2.24 % (239193)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1329658456:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 11.23/2.24 % (239152)Also succeeded, but the first one will report.
% 11.23/2.24 % (239153)Refutation found. Thanks to Tanya!
% 11.23/2.24 % SZS status Unsatisfiable for theBenchmark
% 11.23/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 11.81/2.44 % (239153)------------------------------
% 11.81/2.44 % (239153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/2.44 % (239153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.44 % (239153)CaDiCaL version: 2.1.3
% 11.81/2.44 % (239153)Termination reason: Refutation
% 11.81/2.44 % (239153)Time elapsed: 1.193 s
% 11.81/2.44 % (239153)Peak memory usage: 136 MB
% 11.81/2.44 % (239153)Instructions burned: 1841 (million)
% 11.81/2.44 % (239153)------------------------------
% 11.81/2.44 % (239153)------------------------------
% 11.81/2.44 % (239140)Success in time 1.619 s
% 11.81/2.44 % Vampire exiting
%------------------------------------------------------------------------------