%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP012+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:28:07 AM UTC 2026
% Result : Theorem 15.36s 5.94s
% Output : Refutation 26.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 12 unt; 3 def)
% Number of atoms : 276 ( 3 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 344 ( 142 ~; 144 |; 25 &)
% ( 11 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 63 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
fof(f9942,axiom,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__sub) ).
fof(f10091,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__add,X1),ap(ap(c_2Einteger_2Eint__sub,X0),X1)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__SUB__ADD2) ).
fof(f10253,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__LADD) ).
fof(f10256,axiom,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__LSUB) ).
fof(f10257,conjecture,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(f10258,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ! [X1] :
( mem(X1,ty_2Einteger_2Eint)
=> ! [X2] :
( mem(X2,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10257]) ).
fof(f10325,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<~> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f10258]) ).
fof(f10326,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1)))
<~> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f10325]) ).
fof(f10564,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f10256]) ).
fof(f10565,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f10564]) ).
fof(f10569,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f10253]) ).
fof(f10570,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f10569]) ).
fof(f10613,plain,
! [X0] :
( ! [X1] :
( ap(ap(c_2Einteger_2Eint__add,X1),ap(ap(c_2Einteger_2Eint__sub,X0),X1)) = X0
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f10091]) ).
fof(f10637,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11774,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f10326]) ).
fof(f11775,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X2),X1))) )
& p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
& mem(X2,ty_2Einteger_2Eint) )
& mem(X1,ty_2Einteger_2Eint) )
& mem(X0,ty_2Einteger_2Eint) ),
inference(flattening,[],[f11774]) ).
fof(f11776,plain,
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220))) )
& p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK220))
& mem(sK221,ty_2Einteger_2Eint)
& mem(sK220,ty_2Einteger_2Eint)
& mem(sK219,ty_2Einteger_2Eint) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK219,sK220,sK221]),skolemize(X0,sK219),skolemize(X1,sK220),skolemize(X2,sK221)],[f11775]) ).
fof(f12215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f10565]) ).
fof(f12219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint) )
| ~ mem(X1,ty_2Einteger_2Eint) )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(nnf_transformation,[],[f10570]) ).
fof(f13134,plain,
mem(sK219,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f11776]) ).
fof(f13135,plain,
mem(sK220,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f11776]) ).
fof(f13136,plain,
mem(sK221,ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f11776]) ).
fof(f13137,plain,
p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK220)),
inference(cnf_transformation,[],[f11776]) ).
fof(f13138,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220))) ),
inference(cnf_transformation,[],[f11776]) ).
fof(f13139,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220))) ),
inference(cnf_transformation,[],[f11776]) ).
fof(f14144,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f12215]) ).
fof(f14152,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Einteger_2Eint__divides,X0),ap(ap(c_2Einteger_2Eint__add,X1),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X0),X1))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f12219]) ).
fof(f14215,plain,
! [X0,X1] :
( ap(ap(c_2Einteger_2Eint__add,X1),ap(ap(c_2Einteger_2Eint__sub,X0),X1)) = X0
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f10613]) ).
fof(f14218,plain,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(cnf_transformation,[],[f9942]) ).
fof(f14271,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f10637]) ).
fof(f17717,definition,
( spl812_108
<=> p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220))) ),
introduced(definition,[new_symbols(definition,[spl812_108])],[avatar_definition]) ).
fof(f17718,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220)))
| spl812_108 ),
inference(avatar_component_clause,[],[f17717]) ).
fof(f17719,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,sK219),ap(ap(c_2Einteger_2Eint__sub,sK221),sK220)))
| ~ spl812_108 ),
inference(avatar_component_clause,[],[f17717]) ).
fof(f17721,definition,
( spl812_109
<=> p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221)) ),
introduced(definition,[new_symbols(definition,[spl812_109])],[avatar_definition]) ).
fof(f17722,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| spl812_109 ),
inference(avatar_component_clause,[],[f17721]) ).
fof(f17723,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ spl812_109 ),
inference(avatar_component_clause,[],[f17721]) ).
fof(f17724,plain,
( spl812_108
| spl812_109 ),
inference(avatar_split_clause,[],[f13138,f17721,f17717]) ).
fof(f17725,plain,
( ~ spl812_108
| ~ spl812_109 ),
inference(avatar_split_clause,[],[f13139,f17721,f17717]) ).
fof(f17802,definition,
( spl812_110
<=> mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint) ),
introduced(definition,[new_symbols(definition,[spl812_110])],[avatar_definition]) ).
fof(f17803,plain,
( mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint)
| ~ spl812_110 ),
inference(avatar_component_clause,[],[f17802]) ).
fof(f17804,plain,
( ~ mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint)
| spl812_110 ),
inference(avatar_component_clause,[],[f17802]) ).
fof(f17810,plain,
( ! [X0] :
( ~ mem(ap(c_2Einteger_2Eint__sub,sK221),arr(X0,ty_2Einteger_2Eint))
| ~ mem(sK220,X0) )
| spl812_110 ),
inference(resolution,[],[f17804,f14271]) ).
fof(f17811,plain,
( ! [X0,X1] :
( ~ mem(c_2Einteger_2Eint__sub,arr(X1,arr(X0,ty_2Einteger_2Eint)))
| ~ mem(sK221,X1)
| ~ mem(sK220,X0) )
| spl812_110 ),
inference(resolution,[],[f17810,f14271]) ).
fof(f17976,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Einteger_2Eint__divides,X1),X0))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X0),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,X0),X2),ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(superposition,[],[f14152,f14215]) ).
fof(f17979,plain,
! [X2,X0,X1] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X0),X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,X1),X0))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,X0),X2),ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(duplicate_literal_removal,[],[f17976]) ).
fof(f18698,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK220))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| spl812_108 ),
inference(resolution,[],[f17718,f14144]) ).
fof(f18700,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| spl812_108 ),
inference(forward_subsumption_resolution,[],[f18698,f13137]) ).
fof(f18701,plain,
( ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| spl812_108
| ~ spl812_109 ),
inference(forward_subsumption_resolution,[],[f18700,f17723]) ).
fof(f18702,plain,
( ~ mem(sK221,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| spl812_108
| ~ spl812_109 ),
inference(forward_subsumption_resolution,[],[f18701,f13135]) ).
fof(f18703,plain,
( ~ mem(sK219,ty_2Einteger_2Eint)
| spl812_108
| ~ spl812_109 ),
inference(forward_subsumption_resolution,[],[f18702,f13136]) ).
fof(f18704,plain,
( $false
| spl812_108
| ~ spl812_109 ),
inference(forward_subsumption_resolution,[],[f18703,f13134]) ).
fof(f18705,plain,
( spl812_108
| ~ spl812_109 ),
inference(avatar_contradiction_clause,[],[f18704]) ).
fof(f19023,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK221))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK220))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint)
| ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108 ),
inference(resolution,[],[f17979,f17719]) ).
fof(f19257,plain,
( ~ mem(sK221,ty_2Einteger_2Eint)
| ~ mem(sK220,ty_2Einteger_2Eint)
| spl812_110 ),
inference(resolution,[],[f17811,f14218]) ).
fof(f19258,plain,
( ~ mem(sK220,ty_2Einteger_2Eint)
| spl812_110 ),
inference(forward_subsumption_resolution,[],[f19257,f13136]) ).
fof(f19259,plain,
( $false
| spl812_110 ),
inference(forward_subsumption_resolution,[],[f19258,f13135]) ).
fof(f19260,plain,
spl812_110,
inference(avatar_contradiction_clause,[],[f19259]) ).
fof(f19264,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,sK219),sK220))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint)
| ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108
| spl812_109 ),
inference(forward_subsumption_resolution,[],[f19023,f17722]) ).
fof(f19266,plain,
( ~ mem(ap(ap(c_2Einteger_2Eint__sub,sK221),sK220),ty_2Einteger_2Eint)
| ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108
| spl812_109 ),
inference(forward_subsumption_resolution,[],[f19264,f13137]) ).
fof(f19267,plain,
( ~ mem(sK220,ty_2Einteger_2Eint)
| ~ mem(sK219,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(forward_subsumption_resolution,[],[f19266,f17803]) ).
fof(f19268,plain,
( ~ mem(sK219,ty_2Einteger_2Eint)
| ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(forward_subsumption_resolution,[],[f19267,f13135]) ).
fof(f19269,plain,
( ~ mem(sK221,ty_2Einteger_2Eint)
| ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(forward_subsumption_resolution,[],[f19268,f13134]) ).
fof(f19270,plain,
( $false
| ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(forward_subsumption_resolution,[],[f19269,f13136]) ).
fof(f19271,plain,
( ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(avatar_contradiction_clause,[],[f19270]) ).
cnf(s119,plain,
( spl812_108
| spl812_109 ),
inference(sat_conversion,[],[f17724]) ).
cnf(s120,plain,
( ~ spl812_108
| ~ spl812_109 ),
inference(sat_conversion,[],[f17725]) ).
cnf(s127,plain,
( spl812_108
| ~ spl812_109 ),
inference(sat_conversion,[],[f18705]) ).
cnf(s131,plain,
spl812_110,
inference(sat_conversion,[],[f19260]) ).
cnf(s132,plain,
( ~ spl812_108
| spl812_109
| ~ spl812_110 ),
inference(sat_conversion,[],[f19271]) ).
cnf(s157,plain,
spl812_108,
inference(rat,[],[s119,s127]) ).
cnf(s158,plain,
spl812_109,
inference(rat,[],[s132,s131,s157]) ).
cnf(s159,plain,
$false,
inference(rat,[],[s120,s158,s157]) ).
fof(f19272,plain,
$false,
inference(avatar_sat_refutation,[],[s159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 12:02:44 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 15.18/4.52 % (1542821)Detected formulas, will run a generic FOF schedule.
% 15.18/4.52 % (1542828)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3483144657:i=141695:sd=1:nm=32:gsp=on:ss=included_2983 on theBenchmark for (2983ds/141695Mi)
% 15.18/4.52 % (1542827)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3681075825:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2983 on theBenchmark for (2983ds/134677Mi)
% 15.18/4.52 % (1542826)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=1439538940:i=141193_2983 on theBenchmark for (2983ds/141193Mi)
% 15.18/4.52 % (1542829)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=761286949:i=109:sd=1:ins=1:gsp=on:ss=axioms_2983 on theBenchmark for (2983ds/109Mi)
% 15.18/4.52 % (1542830)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3590667465:i=119:av=off:ss=axioms_2983 on theBenchmark for (2983ds/119Mi)
% 15.18/4.52 % (1542831)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2821479831:s2a=on:i=139:gtg=position_2983 on theBenchmark for (2983ds/139Mi)
% 15.18/4.52 % (1542832)dis-21_1_sil=8000:lcm=predicate:random_seed=2940206175:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2983 on theBenchmark for (2983ds/129Mi)
% 15.18/4.52 % (1542831)Instruction limit reached!
% 15.18/4.52 % (1542831)------------------------------
% 15.18/4.52 % (1542831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.18/4.52 % (1542831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/4.52 % (1542831)CaDiCaL version: 2.1.3
% 15.18/4.52 % (1542831)Termination reason: Instruction limit
% 15.18/4.52 % (1542831)Termination phase: Property scanning
% 15.18/4.52 % (1542831)Time elapsed: 0.054 s
% 15.18/4.52 % (1542831)Peak memory usage: 109 MB
% 15.18/4.52 % (1542831)Instructions burned: 140 (million)
% 15.18/4.52 % (1542829)Instruction limit reached!
% 15.18/4.52 % (1542829)------------------------------
% 15.18/4.52 % (1542829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.18/4.52 % (1542829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/4.52 % (1542829)CaDiCaL version: 2.1.3
% 15.18/4.52 % (1542829)Termination reason: Instruction limit
% 15.18/4.52 % (1542829)Termination phase: Naming
% 15.18/4.52 % (1542829)Time elapsed: 0.076 s
% 15.18/4.52 % (1542829)Peak memory usage: 110 MB
% 15.18/4.52 % (1542829)Instructions burned: 110 (million)
% 15.18/4.52 % (1542832)Instruction limit reached!
% 15.18/4.52 % (1542832)------------------------------
% 15.18/4.52 % (1542832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.18/4.52 % (1542832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/4.52 % (1542832)CaDiCaL version: 2.1.3
% 15.18/4.52 % (1542832)Termination reason: Instruction limit
% 15.18/4.52 % (1542832)Termination phase: SInE selection
% 15.18/4.52 % (1542832)Time elapsed: 0.079 s
% 15.18/4.52 % (1542832)Peak memory usage: 109 MB
% 15.18/4.52 % (1542832)Instructions burned: 129 (million)
% 15.18/4.52 % (1542830)Instruction limit reached!
% 15.18/4.52 % (1542830)------------------------------
% 15.18/4.52 % (1542830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.18/4.52 % (1542830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.18/4.52 % (1542830)CaDiCaL version: 2.1.3
% 15.18/4.52 % (1542830)Termination reason: Instruction limit
% 15.18/4.52 % (1542830)Termination phase: Preprocessing 2
% 15.18/4.52 % (1542830)Time elapsed: 0.089 s
% 15.18/4.52 % (1542830)Peak memory usage: 109 MB
% 15.18/4.52 % (1542830)Instructions burned: 119 (million)
% 15.18/4.52 % (1542841)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4237015933:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 15.18/4.52 % (1542840)lrs+10_1_sil=8000:sp=occurrence:random_seed=2186152138:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 15.18/4.52 % (1542843)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=763160808:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 15.18/4.52 % (1542842)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4231920092:i=325:sd=1:ss=axioms:sgt=32_2980 on theBenchmark for (2980ds/325Mi)
% 15.18/4.52 % (1542841)Instruction limit reached!
% 22.19/5.45 % (1542841)------------------------------
% 22.19/5.45 % (1542841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542841)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542841)Termination reason: Instruction limit
% 22.19/5.45 % (1542841)Termination phase: Property scanning
% 22.19/5.45 % (1542841)Time elapsed: 0.061 s
% 22.19/5.45 % (1542841)Peak memory usage: 109 MB
% 22.19/5.45 % (1542841)Instructions burned: 159 (million)
% 22.19/5.45 % (1542843)Instruction limit reached!
% 22.19/5.45 % (1542843)------------------------------
% 22.19/5.45 % (1542843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542843)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542843)Termination reason: Instruction limit
% 22.19/5.45 % (1542843)Termination phase: Property scanning
% 22.19/5.45 % (1542843)Time elapsed: 0.093 s
% 22.19/5.45 % (1542843)Peak memory usage: 109 MB
% 22.19/5.45 % (1542843)Instructions burned: 249 (million)
% 22.19/5.45 % (1542840)Instruction limit reached!
% 22.19/5.45 % (1542840)------------------------------
% 22.19/5.45 % (1542840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542840)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542840)Termination reason: Instruction limit
% 22.19/5.45 % (1542840)Termination phase: Saturation
% 22.19/5.45 % (1542840)Time elapsed: 0.178 s
% 22.19/5.45 % (1542840)Peak memory usage: 116 MB
% 22.19/5.45 % (1542840)Instructions burned: 286 (million)
% 22.19/5.45 % (1542848)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2686484818:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2978 on theBenchmark for (2978ds/294Mi)
% 22.19/5.45 % (1542842)Instruction limit reached!
% 22.19/5.45 % (1542842)------------------------------
% 22.19/5.45 % (1542842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542842)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542842)Termination reason: Instruction limit
% 22.19/5.45 % (1542842)Termination phase: Saturation
% 22.19/5.45 % (1542842)Time elapsed: 0.223 s
% 22.19/5.45 % (1542842)Peak memory usage: 116 MB
% 22.19/5.45 % (1542842)Instructions burned: 325 (million)
% 22.19/5.45 % (1542849)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3032164338:i=2350_2978 on theBenchmark for (2978ds/2350Mi)
% 22.19/5.45 % (1542850)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1654409264:cts=off:i=113:fsr=off:ss=included:sgt=4_2977 on theBenchmark for (2977ds/113Mi)
% 22.19/5.45 % (1542848)Instruction limit reached!
% 22.19/5.45 % (1542848)------------------------------
% 22.19/5.45 % (1542848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542848)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542848)Termination reason: Instruction limit
% 22.19/5.45 % (1542848)Termination phase: Property scanning
% 22.19/5.45 % (1542848)Time elapsed: 0.175 s
% 22.19/5.45 % (1542848)Peak memory usage: 114 MB
% 22.19/5.45 % (1542848)Instructions burned: 297 (million)
% 22.19/5.45 % (1542850)Instruction limit reached!
% 22.19/5.45 % (1542850)------------------------------
% 22.19/5.45 % (1542850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542850)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542850)Termination reason: Instruction limit
% 22.19/5.45 % (1542850)Termination phase: Preprocessing 1
% 22.19/5.45 % (1542850)Time elapsed: 0.083 s
% 22.19/5.45 % (1542850)Peak memory usage: 109 MB
% 22.19/5.45 % (1542850)Instructions burned: 114 (million)
% 22.19/5.45 % (1542852)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1404296024:i=127:av=off:fsr=off:sup=off_2976 on theBenchmark for (2976ds/127Mi)
% 22.19/5.45 % (1542852)Instruction limit reached!
% 22.19/5.45 % (1542852)------------------------------
% 22.19/5.45 % (1542852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.19/5.45 % (1542852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.19/5.45 % (1542852)CaDiCaL version: 2.1.3
% 22.19/5.45 % (1542852)Termination reason: Instruction limit
% 15.36/5.94 % (1542852)Termination phase: Preprocessing 1
% 15.36/5.94 % (1542852)Time elapsed: 0.095 s
% 15.36/5.94 % (1542852)Peak memory usage: 109 MB
% 15.36/5.94 % (1542852)Instructions burned: 128 (million)
% 15.36/5.94 % (1542855)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3905526857:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 15.36/5.94 % (1542856)lrs+10_1_sil=8000:sp=occurrence:random_seed=2039987563:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 15.36/5.94 % (1542855)Instruction limit reached!
% 15.36/5.94 % (1542855)------------------------------
% 15.36/5.94 % (1542855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542855)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542855)Termination reason: Instruction limit
% 15.36/5.94 % (1542855)Termination phase: Property scanning
% 15.36/5.94 % (1542855)Time elapsed: 0.046 s
% 15.36/5.94 % (1542855)Peak memory usage: 109 MB
% 15.36/5.94 % (1542855)Instructions burned: 116 (million)
% 15.36/5.94 % (1542858)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=950434731:i=437:sd=1:aac=none:ss=included_2974 on theBenchmark for (2974ds/437Mi)
% 15.36/5.94 % (1542861)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2604655454:i=5202:ss=axioms:sgt=16_2973 on theBenchmark for (2973ds/5202Mi)
% 15.36/5.94 % (1542858)Instruction limit reached!
% 15.36/5.94 % (1542858)------------------------------
% 15.36/5.94 % (1542858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542858)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542858)Termination reason: Instruction limit
% 15.36/5.94 % (1542858)Termination phase: Saturation
% 15.36/5.94 % (1542858)Time elapsed: 0.255 s
% 15.36/5.94 % (1542858)Peak memory usage: 120 MB
% 15.36/5.94 % (1542858)Instructions burned: 437 (million)
% 15.36/5.94 % (1542856)Instruction limit reached!
% 15.36/5.94 % (1542856)------------------------------
% 15.36/5.94 % (1542856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542856)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542856)Termination reason: Instruction limit
% 15.36/5.94 % (1542856)Termination phase: Saturation
% 15.36/5.94 % (1542856)Time elapsed: 0.510 s
% 15.36/5.94 % (1542856)Peak memory usage: 126 MB
% 15.36/5.94 % (1542856)Instructions burned: 909 (million)
% 15.36/5.94 % (1542864)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2870480375:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 15.36/5.94 % (1542864)Instruction limit reached!
% 15.36/5.94 % (1542864)------------------------------
% 15.36/5.94 % (1542864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542864)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542864)Termination reason: Instruction limit
% 15.36/5.94 % (1542864)Termination phase: NewCNF
% 15.36/5.94 % (1542864)Time elapsed: 0.101 s
% 15.36/5.94 % (1542864)Peak memory usage: 112 MB
% 15.36/5.94 % (1542864)Instructions burned: 135 (million)
% 15.36/5.94 % (1542865)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3627772544:st=8:i=592:sd=3:ep=RST:ss=axioms_2968 on theBenchmark for (2968ds/592Mi)
% 15.36/5.94 % (1542867)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3664114958:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 15.36/5.94 % (1542849)Instruction limit reached!
% 15.36/5.94 % (1542849)------------------------------
% 15.36/5.94 % (1542849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542849)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542849)Termination reason: Instruction limit
% 15.36/5.94 % (1542849)Termination phase: Function definition elimination
% 15.36/5.94 % (1542849)Time elapsed: 1.236 s
% 15.36/5.94 % (1542849)Peak memory usage: 168 MB
% 15.36/5.94 % (1542849)Instructions burned: 2351 (million)
% 15.36/5.94 % (1542865)Instruction limit reached!
% 15.36/5.94 % (1542865)------------------------------
% 15.36/5.94 % (1542865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542865)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542865)Termination reason: Instruction limit
% 15.36/5.94 % (1542865)Termination phase: Preprocessing 3
% 15.36/5.94 % (1542865)Time elapsed: 0.349 s
% 15.36/5.94 % (1542865)Peak memory usage: 122 MB
% 15.36/5.94 % (1542865)Instructions burned: 592 (million)
% 15.36/5.94 % (1542870)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3154097016:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 15.36/5.94 % (1542870)Instruction limit reached!
% 15.36/5.94 % (1542870)------------------------------
% 15.36/5.94 % (1542870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542870)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542870)Termination reason: Instruction limit
% 15.36/5.94 % (1542870)Termination phase: Property scanning
% 15.36/5.94 % (1542870)Time elapsed: 0.052 s
% 15.36/5.94 % (1542870)Peak memory usage: 109 MB
% 15.36/5.94 % (1542870)Instructions burned: 127 (million)
% 15.36/5.94 % (1542871)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1090445227:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 15.36/5.94 % (1542871)Instruction limit reached!
% 15.36/5.94 % (1542871)------------------------------
% 15.36/5.94 % (1542871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542871)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542871)Termination reason: Instruction limit
% 15.36/5.94 % (1542871)Termination phase: Property scanning
% 15.36/5.94 % (1542871)Time elapsed: 0.053 s
% 15.36/5.94 % (1542871)Peak memory usage: 109 MB
% 15.36/5.94 % (1542871)Instructions burned: 134 (million)
% 15.36/5.94 % (1542874)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3228595995:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 15.36/5.94 % (1542875)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3108327784:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 15.36/5.94 % (1542874)Instruction limit reached!
% 15.36/5.94 % (1542874)------------------------------
% 15.36/5.94 % (1542874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542874)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542874)Termination reason: Instruction limit
% 15.36/5.94 % (1542874)Termination phase: General splitting
% 15.36/5.94 % (1542874)Time elapsed: 0.101 s
% 15.36/5.94 % (1542874)Peak memory usage: 113 MB
% 15.36/5.94 % (1542874)Instructions burned: 141 (million)
% 15.36/5.94 % (1542878)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4082285801:i=6060:aac=none:ins=25_2959 on theBenchmark for (2959ds/6060Mi)
% 15.36/5.94 % (1542875)Instruction limit reached!
% 15.36/5.94 % (1542875)------------------------------
% 15.36/5.94 % (1542875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542875)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542875)Termination reason: Instruction limit
% 15.36/5.94 % (1542875)Termination phase: Saturation
% 15.36/5.94 % (1542875)Time elapsed: 0.269 s
% 15.36/5.94 % (1542875)Peak memory usage: 118 MB
% 15.36/5.94 % (1542875)Instructions burned: 432 (million)
% 15.36/5.94 % (1542880)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=958174768:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 15.36/5.94 % (1542880)Instruction limit reached!
% 15.36/5.94 % (1542880)------------------------------
% 15.36/5.94 % (1542880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.36/5.94 % (1542880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.36/5.94 % (1542880)CaDiCaL version: 2.1.3
% 15.36/5.94 % (1542880)Termination reason: Instruction limit
% 15.36/5.94 % (1542880)Termination phase: Preprocessing 1
% 15.36/5.94 % (1542880)Time elapsed: 0.105 s
% 15.36/5.94 % (1542880)Peak memory usage: 110 MB
% 15.36/5.94 % (1542880)Instructions burned: 150 (million)
% 15.36/5.94 % (1542861)First to succeed.
% 15.36/5.94 % (1542861)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1542821"
% 15.36/5.94 % (1542882)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1630772336:i=14155:bd=all_2954 on theBenchmark for (2954ds/14155Mi)
% 15.36/5.94 % (1542827)Also succeeded, but the first one will report.
% 15.36/5.94 % (1542861)Refutation found. Thanks to Tanya!
% 15.36/5.94 % SZS status Theorem for theBenchmark
% 15.36/5.94 % SZS output start Proof for theBenchmark
% See solution above
% 26.17/6.19 % (1542861)------------------------------
% 26.17/6.19 % (1542861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.17/6.19 % (1542861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/6.19 % (1542861)CaDiCaL version: 2.1.3
% 26.17/6.19 % (1542861)Termination reason: Refutation
% 26.17/6.19 % (1542861)Time elapsed: 1.894 s
% 26.17/6.19 % (1542861)Peak memory usage: 211 MB
% 26.17/6.19 % (1542861)Instructions burned: 3014 (million)
% 26.17/6.19 % (1542861)------------------------------
% 26.17/6.19 % (1542861)------------------------------
% 26.17/6.19 % (1542821)Success in time 5.066 s
% 26.17/6.19 % Vampire exiting
%------------------------------------------------------------------------------