%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO447+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:52:40 AM UTC 2026
% Result : Theorem 13.79s 6.71s
% Output : Refutation 33.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 17 unt; 4 def)
% Number of atoms : 142 ( 2 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 149 ( 59 ~; 50 |; 26 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( p(s(bool,X0))
=> p(s(bool,X1)) )
<=> ( ( p(s(bool,X0))
& p(s(bool,X1)) )
<=> p(s(bool,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aIMPu_DEF) ).
fof(f3007,axiom,
! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aORTHOGONALu_SYM) ).
fof(f3015,axiom,
! [X0,X1,X2,X3] :
( ( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) )
=> p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aORTHOGONALu_CLAUSESu_conjunct3) ).
fof(f3020,conjecture,
! [X0,X1,X2,X3] :
( ( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) )
=> p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aORTHOGONALu_CLAUSESu_conjunct8) ).
fof(f3021,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) )
=> p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1)))) ),
inference(negated_conjecture,[status(cth)],[f3020]) ).
fof(f3080,plain,
? [X0,X1,X2,X3] :
( ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) ),
inference(ennf_transformation,[],[f3021]) ).
fof(f3081,plain,
? [X0,X1,X2,X3] :
( ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))))
& p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X3))),s(cart(real,X0),X1)))) ),
inference(flattening,[],[f3080]) ).
fof(f3120,plain,
! [X0,X1] :
( ( p(s(bool,X1))
| ~ p(s(bool,X0)) )
<=> ( ( p(s(bool,X0))
& p(s(bool,X1)) )
<=> p(s(bool,X0)) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f3121,plain,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) ),
inference(ennf_transformation,[],[f3015]) ).
fof(f3122,plain,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) ),
inference(flattening,[],[f3121]) ).
fof(f3183,definition,
! [X0,X1] :
( sP10(X0,X1)
<=> ( ( p(s(bool,X0))
& p(s(bool,X1)) )
<=> p(s(bool,X0)) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f3184,plain,
! [X0,X1] :
( ( p(s(bool,X1))
| ~ p(s(bool,X0)) )
<=> sP10(X0,X1) ),
inference(definition_folding,[],[f3120,f3183]) ).
fof(f3187,plain,
( ~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15))))),s(cart(real,sK12),sK13))))
& p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK13))))
& p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK15))),s(cart(real,sK12),sK13)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f3081]) ).
fof(f3429,plain,
! [X0,X1] :
( ( sP10(X0,X1)
| ( ( ~ p(s(bool,X0))
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) )
& ( p(s(bool,X0))
| ( p(s(bool,X0))
& p(s(bool,X1)) ) ) ) )
& ( ( ( ( p(s(bool,X0))
& p(s(bool,X1)) )
| ~ p(s(bool,X0)) )
& ( p(s(bool,X0))
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) ) )
| ~ sP10(X0,X1) ) ),
inference(nnf_transformation,[],[f3183]) ).
fof(f3430,plain,
! [X0,X1] :
( ( sP10(X0,X1)
| ( ( ~ p(s(bool,X0))
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) )
& ( p(s(bool,X0))
| ( p(s(bool,X0))
& p(s(bool,X1)) ) ) ) )
& ( ( ( ( p(s(bool,X0))
& p(s(bool,X1)) )
| ~ p(s(bool,X0)) )
& ( p(s(bool,X0))
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) ) )
| ~ sP10(X0,X1) ) ),
inference(flattening,[],[f3429]) ).
fof(f3431,plain,
! [X0,X1] :
( ( p(s(bool,X1))
| ~ p(s(bool,X0))
| ~ sP10(X0,X1) )
& ( sP10(X0,X1)
| ( ~ p(s(bool,X1))
& p(s(bool,X0)) ) ) ),
inference(nnf_transformation,[],[f3184]) ).
fof(f3432,plain,
! [X0,X1] :
( ( p(s(bool,X1))
| ~ p(s(bool,X0))
| ~ sP10(X0,X1) )
& ( sP10(X0,X1)
| ( ~ p(s(bool,X1))
& p(s(bool,X0)) ) ) ),
inference(flattening,[],[f3431]) ).
fof(f3462,plain,
p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK15))),s(cart(real,sK12),sK13)))),
inference(cnf_transformation,[],[f3187]) ).
fof(f3463,plain,
p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK13)))),
inference(cnf_transformation,[],[f3187]) ).
fof(f3464,plain,
~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15))))),s(cart(real,sK12),sK13)))),
inference(cnf_transformation,[],[f3187]) ).
fof(f3771,plain,
! [X0,X1] :
( sP10(X0,X1)
| p(s(bool,X0))
| p(s(bool,X1)) ),
inference(cnf_transformation,[],[f3430]) ).
fof(f3773,plain,
! [X0,X1] :
( sP10(X0,X1)
| ~ p(s(bool,X0))
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) ),
inference(cnf_transformation,[],[f3430]) ).
fof(f3774,plain,
! [X0,X1] :
( sP10(X0,X1)
| p(s(bool,X0)) ),
inference(cnf_transformation,[],[f3432]) ).
fof(f3776,plain,
! [X0,X1] :
( p(s(bool,X1))
| ~ p(s(bool,X0))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f3432]) ).
fof(f3777,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3)))) ),
inference(cnf_transformation,[],[f3122]) ).
fof(f3857,plain,
! [X2,X0,X1] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[],[f3007]) ).
fof(f3865,plain,
! [X0,X1] :
( sP10(X0,X1)
| ~ p(s(bool,X0))
| ~ p(s(bool,X1)) ),
inference(duplicate_literal_removal,[],[f3773]) ).
fof(f3968,plain,
p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK15)))),
inference(forward_demodulation,[],[f3462,f3857]) ).
fof(f3969,plain,
p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14)))),
inference(forward_demodulation,[],[f3463,f3857]) ).
fof(f3970,plain,
~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15)))))),
inference(forward_demodulation,[],[f3464,f3857]) ).
fof(f3986,definition,
( spl196_24
<=> p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15)))))) ),
introduced(definition,[new_symbols(definition,[spl196_24])],[avatar_definition]) ).
fof(f3991,plain,
! [X0] :
( ~ p(s(bool,X0))
| ~ sP10(X0,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15))))) ),
inference(resolution,[],[f3776,f3970]) ).
fof(f3999,plain,
~ sP10(i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK15)),i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15))))),
inference(resolution,[],[f3991,f3968]) ).
fof(f4000,plain,
~ sP10(i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14)),i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15))))),
inference(resolution,[],[f3991,f3969]) ).
fof(f4088,definition,
( spl196_26
<=> p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK15)))) ),
introduced(definition,[new_symbols(definition,[spl196_26])],[avatar_definition]) ).
fof(f4114,definition,
( spl196_27
<=> p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14)))) ),
introduced(definition,[new_symbols(definition,[spl196_27])],[avatar_definition]) ).
fof(f4282,plain,
( p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK15))))
| p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15)))))) ),
inference(resolution,[],[f3999,f3771]) ).
fof(f4287,plain,
( spl196_24
| spl196_26 ),
inference(avatar_split_clause,[],[f4282,f4088,f3986]) ).
fof(f4299,plain,
( ~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14))))
| ~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),i(s(fun(cart(real,sK12),cart(real,sK12)),i(s(fun(cart(real,sK12),fun(cart(real,sK12),cart(real,sK12))),vectoru_add),s(cart(real,sK12),sK14))),s(cart(real,sK12),sK15)))))) ),
inference(resolution,[],[f4000,f3865]) ).
fof(f4303,plain,
p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14)))),
inference(resolution,[],[f4000,f3774]) ).
fof(f4304,plain,
spl196_27,
inference(avatar_split_clause,[],[f4303,f4114]) ).
fof(f4306,plain,
( ~ spl196_24
| ~ spl196_27 ),
inference(avatar_split_clause,[],[f4299,f4114,f3986]) ).
fof(f7682,plain,
( ~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK14))))
| ~ p(s(bool,i(s(fun(cart(real,sK12),bool),i(s(fun(cart(real,sK12),fun(cart(real,sK12),bool)),orthogonal),s(cart(real,sK12),sK13))),s(cart(real,sK12),sK15)))) ),
inference(resolution,[],[f3777,f3970]) ).
fof(f7691,plain,
( ~ spl196_26
| ~ spl196_27 ),
inference(avatar_split_clause,[],[f7682,f4114,f4088]) ).
cnf(s80,plain,
( spl196_24
| spl196_26 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s84,plain,
spl196_27,
inference(sat_conversion,[],[f4304]) ).
cnf(s88,plain,
( ~ spl196_24
| ~ spl196_27 ),
inference(sat_conversion,[],[f4306]) ).
cnf(s1052,plain,
( ~ spl196_26
| ~ spl196_27 ),
inference(sat_conversion,[],[f7691]) ).
cnf(s1095,plain,
~ spl196_26,
inference(rat,[],[s1052,s84]) ).
cnf(s1096,plain,
~ spl196_24,
inference(rat,[],[s88,s84]) ).
cnf(s1102,plain,
$false,
inference(rat,[],[s80,s1095,s1096]) ).
fof(f7693,plain,
$false,
inference(avatar_sat_refutation,[],[s1102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO447+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 08:14:16 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 22.64/5.21 % (498782)Detected formulas, will run a generic FOF schedule.
% 22.64/5.21 % (498787)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=3167521893:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 22.64/5.21 % (498788)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=3926776224:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 22.64/5.21 % (498792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4190363502:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 22.64/5.21 % (498790)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2051852760:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 22.64/5.21 % (498789)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=675607909:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 22.64/5.21 % (498791)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=937150109:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 22.64/5.21 % (498793)dis-21_1_sil=8000:lcm=predicate:random_seed=2782918920:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 22.64/5.21 % (498790)Instruction limit reached!
% 22.64/5.21 % (498790)------------------------------
% 22.64/5.21 % (498790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.64/5.21 % (498790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.64/5.21 % (498790)CaDiCaL version: 2.1.3
% 22.64/5.21 % (498790)Termination reason: Instruction limit
% 22.64/5.21 % (498790)Termination phase: General splitting
% 22.64/5.21 % (498790)Time elapsed: 0.090 s
% 22.64/5.21 % (498790)Peak memory usage: 92 MB
% 22.64/5.21 % (498790)Instructions burned: 110 (million)
% 22.64/5.21 % (498791)Instruction limit reached!
% 22.64/5.21 % (498791)------------------------------
% 22.64/5.21 % (498791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.64/5.21 % (498791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.64/5.21 % (498791)CaDiCaL version: 2.1.3
% 22.64/5.21 % (498791)Termination reason: Instruction limit
% 22.64/5.21 % (498791)Termination phase: Preprocessing 2
% 22.64/5.21 % (498791)Time elapsed: 0.101 s
% 22.64/5.21 % (498791)Peak memory usage: 91 MB
% 22.64/5.21 % (498791)Instructions burned: 119 (million)
% 22.64/5.21 % (498793)Instruction limit reached!
% 22.64/5.21 % (498793)------------------------------
% 22.64/5.21 % (498793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.64/5.21 % (498793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.64/5.21 % (498793)CaDiCaL version: 2.1.3
% 22.64/5.21 % (498793)Termination reason: Instruction limit
% 22.64/5.21 % (498793)Termination phase: Preprocessing 1
% 22.64/5.21 % (498793)Time elapsed: 0.102 s
% 22.64/5.21 % (498793)Peak memory usage: 90 MB
% 22.64/5.21 % (498793)Instructions burned: 131 (million)
% 22.64/5.21 % (498792)Instruction limit reached!
% 22.64/5.21 % (498792)------------------------------
% 22.64/5.21 % (498792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.64/5.21 % (498792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.64/5.21 % (498792)CaDiCaL version: 2.1.3
% 22.64/5.21 % (498792)Termination reason: Instruction limit
% 22.64/5.21 % (498792)Termination phase: Property scanning
% 22.64/5.21 % (498792)Time elapsed: 0.104 s
% 22.64/5.21 % (498792)Peak memory usage: 89 MB
% 22.64/5.21 % (498792)Instructions burned: 140 (million)
% 22.64/5.21 % (498801)lrs+10_1_sil=8000:sp=occurrence:random_seed=1976483600:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 22.64/5.21 % (498804)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=1671759699:s2a=on:i=248:s2at=1.23:gtg=position_2983 on theBenchmark for (2983ds/248Mi)
% 22.64/5.21 % (498802)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2657254701:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/157Mi)
% 22.64/5.21 % (498803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4141575672:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 22.64/5.21 % (498802)Instruction limit reached!
% 22.64/5.21 % (498802)------------------------------
% 13.79/6.71 % (498802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498802)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498802)Termination reason: Instruction limit
% 13.79/6.71 % (498802)Termination phase: Property scanning
% 13.79/6.71 % (498802)Time elapsed: 0.117 s
% 13.79/6.71 % (498802)Peak memory usage: 89 MB
% 13.79/6.71 % (498802)Instructions burned: 157 (million)
% 13.79/6.71 % (498804)Instruction limit reached!
% 13.79/6.71 % (498804)------------------------------
% 13.79/6.71 % (498804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498804)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498804)Termination reason: Instruction limit
% 13.79/6.71 % (498804)Termination phase: Property scanning
% 13.79/6.71 % (498804)Time elapsed: 0.185 s
% 13.79/6.71 % (498804)Peak memory usage: 89 MB
% 13.79/6.71 % (498804)Instructions burned: 249 (million)
% 13.79/6.71 % (498801)Instruction limit reached!
% 13.79/6.71 % (498801)------------------------------
% 13.79/6.71 % (498801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498801)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498801)Termination reason: Instruction limit
% 13.79/6.71 % (498801)Termination phase: Property scanning
% 13.79/6.71 % (498801)Time elapsed: 0.231 s
% 13.79/6.71 % (498801)Peak memory usage: 95 MB
% 13.79/6.71 % (498801)Instructions burned: 286 (million)
% 13.79/6.71 % (498803)Instruction limit reached!
% 13.79/6.71 % (498803)------------------------------
% 13.79/6.71 % (498803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498803)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498803)Termination reason: Instruction limit
% 13.79/6.71 % (498803)Termination phase: Saturation
% 13.79/6.71 % (498803)Time elapsed: 0.281 s
% 13.79/6.71 % (498803)Peak memory usage: 96 MB
% 13.79/6.71 % (498803)Instructions burned: 325 (million)
% 13.79/6.71 % (498810)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=631297305:i=2350_2978 on theBenchmark for (2978ds/2350Mi)
% 13.79/6.71 % (498809)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=906263239:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 13.79/6.71 % (498811)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3824624728:cts=off:i=113:fsr=off:ss=included:sgt=4_2978 on theBenchmark for (2978ds/113Mi)
% 13.79/6.71 % (498812)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4033930254:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 13.79/6.71 % (498811)Instruction limit reached!
% 13.79/6.71 % (498811)------------------------------
% 13.79/6.71 % (498811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498811)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498811)Termination reason: Instruction limit
% 13.79/6.71 % (498811)Termination phase: Preprocessing 1
% 13.79/6.71 % (498811)Time elapsed: 0.098 s
% 13.79/6.71 % (498811)Peak memory usage: 90 MB
% 13.79/6.71 % (498811)Instructions burned: 113 (million)
% 13.79/6.71 % (498809)Instruction limit reached!
% 13.79/6.71 % (498809)------------------------------
% 13.79/6.71 % (498809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498809)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498809)Termination reason: Instruction limit
% 13.79/6.71 % (498809)Termination phase: Preprocessing 3
% 13.79/6.71 % (498809)Time elapsed: 0.241 s
% 13.79/6.71 % (498809)Peak memory usage: 95 MB
% 13.79/6.71 % (498809)Instructions burned: 295 (million)
% 13.79/6.71 % (498812)Instruction limit reached!
% 13.79/6.71 % (498812)------------------------------
% 13.79/6.71 % (498812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498812)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498812)Termination reason: Instruction limit
% 13.79/6.71 % (498812)Termination phase: Preprocessing 3
% 13.79/6.71 % (498812)Time elapsed: 0.112 s
% 13.79/6.71 % (498812)Peak memory usage: 93 MB
% 13.79/6.71 % (498812)Instructions burned: 128 (million)
% 13.79/6.71 % (498819)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3397208163:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2974 on theBenchmark for (2974ds/114Mi)
% 13.79/6.71 % (498820)lrs+10_1_sil=8000:sp=occurrence:random_seed=3140574517:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2974 on theBenchmark for (2974ds/907Mi)
% 13.79/6.71 % (498819)Instruction limit reached!
% 13.79/6.71 % (498819)------------------------------
% 13.79/6.71 % (498819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498819)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498819)Termination reason: Instruction limit
% 13.79/6.71 % (498819)Termination phase: Property scanning
% 13.79/6.71 % (498819)Time elapsed: 0.085 s
% 13.79/6.71 % (498819)Peak memory usage: 90 MB
% 13.79/6.71 % (498819)Instructions burned: 114 (million)
% 13.79/6.71 % (498821)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=91247278:i=437:sd=1:aac=none:ss=included_2974 on theBenchmark for (2974ds/437Mi)
% 13.79/6.71 % (498824)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=49893301:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 13.79/6.71 % (498821)Instruction limit reached!
% 13.79/6.71 % (498821)------------------------------
% 13.79/6.71 % (498821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498821)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498821)Termination reason: Instruction limit
% 13.79/6.71 % (498821)Termination phase: Property scanning
% 13.79/6.71 % (498821)Time elapsed: 0.343 s
% 13.79/6.71 % (498821)Peak memory usage: 96 MB
% 13.79/6.71 % (498821)Instructions burned: 439 (million)
% 13.79/6.71 % (498827)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1721653582:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2967 on theBenchmark for (2967ds/134Mi)
% 13.79/6.71 % (498820)Instruction limit reached!
% 13.79/6.71 % (498820)------------------------------
% 13.79/6.71 % (498820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498820)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498820)Termination reason: Instruction limit
% 13.79/6.71 % (498820)Termination phase: Property scanning
% 13.79/6.71 % (498820)Time elapsed: 0.696 s
% 13.79/6.71 % (498820)Peak memory usage: 99 MB
% 13.79/6.71 % (498820)Instructions burned: 907 (million)
% 13.79/6.71 % (498827)Instruction limit reached!
% 13.79/6.71 % (498827)------------------------------
% 13.79/6.71 % (498827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498827)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498827)Termination reason: Instruction limit
% 13.79/6.71 % (498827)Termination phase: NewCNF
% 13.79/6.71 % (498827)Time elapsed: 0.118 s
% 13.79/6.71 % (498827)Peak memory usage: 92 MB
% 13.79/6.71 % (498827)Instructions burned: 134 (million)
% 13.79/6.71 % (498829)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=656616476:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 13.79/6.71 % (498830)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=820931411:st=3:i=13193:sd=3:ss=axioms_2964 on theBenchmark for (2964ds/13193Mi)
% 13.79/6.71 % (498810)Instruction limit reached!
% 13.79/6.71 % (498810)------------------------------
% 13.79/6.71 % (498810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498810)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498810)Termination reason: Instruction limit
% 13.79/6.71 % (498810)Termination phase: Property scanning
% 13.79/6.71 % (498810)Time elapsed: 1.703 s
% 13.79/6.71 % (498810)Peak memory usage: 104 MB
% 13.79/6.71 % (498810)Instructions burned: 2350 (million)
% 13.79/6.71 % (498829)Instruction limit reached!
% 13.79/6.71 % (498829)------------------------------
% 13.79/6.71 % (498829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498829)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498829)Termination reason: Instruction limit
% 13.79/6.71 % (498829)Termination phase: Preprocessing 3
% 13.79/6.71 % (498829)Time elapsed: 0.489 s
% 13.79/6.71 % (498829)Peak memory usage: 102 MB
% 13.79/6.71 % (498829)Instructions burned: 593 (million)
% 13.79/6.71 % (498833)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=874626772:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 13.79/6.71 % (498833)Instruction limit reached!
% 13.79/6.71 % (498833)------------------------------
% 13.79/6.71 % (498833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498833)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498833)Termination reason: Instruction limit
% 13.79/6.71 % (498833)Termination phase: Property scanning
% 13.79/6.71 % (498833)Time elapsed: 0.094 s
% 13.79/6.71 % (498833)Peak memory usage: 90 MB
% 13.79/6.71 % (498833)Instructions burned: 125 (million)
% 13.79/6.71 % (498834)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2817967676:i=134:gtgl=5:slsql=off:gtg=exists_sym_2957 on theBenchmark for (2957ds/134Mi)
% 13.79/6.71 % (498834)Instruction limit reached!
% 13.79/6.71 % (498834)------------------------------
% 13.79/6.71 % (498834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498834)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498834)Termination reason: Instruction limit
% 13.79/6.71 % (498834)Termination phase: Property scanning
% 13.79/6.71 % (498834)Time elapsed: 0.101 s
% 13.79/6.71 % (498834)Peak memory usage: 90 MB
% 13.79/6.71 % (498834)Instructions burned: 134 (million)
% 13.79/6.71 % (498836)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2429825990:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 13.79/6.71 % (498836)Instruction limit reached!
% 13.79/6.71 % (498836)------------------------------
% 13.79/6.71 % (498836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/6.71 % (498836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/6.71 % (498836)CaDiCaL version: 2.1.3
% 13.79/6.71 % (498836)Termination reason: Instruction limit
% 13.79/6.71 % (498836)Termination phase: Property scanning
% 13.79/6.71 % (498836)Time elapsed: 0.116 s
% 13.79/6.71 % (498836)Peak memory usage: 92 MB
% 13.79/6.71 % (498836)Instructions burned: 142 (million)
% 13.79/6.71 % (498838)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1074299870:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 13.79/6.71 % (498840)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=3354750336:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 13.79/6.71 % (498838)First to succeed.
% 13.79/6.71 % (498838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-498782"
% 13.79/6.71 % (498838)Refutation found. Thanks to Tanya!
% 13.79/6.71 % SZS status Theorem for theBenchmark
% 13.79/6.71 % SZS output start Proof for theBenchmark
% See solution above
% 33.49/6.97 % (498838)------------------------------
% 33.49/6.97 % (498838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.49/6.97 % (498838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.49/6.97 % (498838)CaDiCaL version: 2.1.3
% 33.49/6.97 % (498838)Termination reason: Refutation
% 33.49/6.97 % (498838)Time elapsed: 0.356 s
% 33.49/6.97 % (498838)Peak memory usage: 97 MB
% 33.49/6.97 % (498838)Instructions burned: 401 (million)
% 33.49/6.97 % (498838)------------------------------
% 33.49/6.97 % (498838)------------------------------
% 33.49/6.97 % (498782)Success in time 5.755 s
% 33.49/6.97 % Vampire exiting
%------------------------------------------------------------------------------