%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP021+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 : n026.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 11:28:49 AM UTC 2026
% Result : Theorem 28.27s 8.56s
% Output : Refutation 31.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 128 ( 14 unt; 6 def)
% Number of atoms : 470 ( 11 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 589 ( 247 ~; 273 |; 32 &)
% ( 12 <=>; 24 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 96 !; 9 ?)
% 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(f18639,axiom,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Eextreal_2Eextreal__max) ).
fof(f18725,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__refl) ).
fof(f18731,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)) )
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__trans) ).
fof(f18734,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__antisym) ).
fof(f18737,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__total) ).
fof(f19036,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__max) ).
fof(f19037,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__max1) ).
fof(f19038,axiom,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Ele__max2) ).
fof(f19039,conjecture,
! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eextreal_2Emax__le) ).
fof(f19040,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Eextreal_2Eextreal)
=> ! [X1] :
( mem(X1,ty_2Eextreal_2Eextreal)
=> ! [X2] :
( mem(X2,ty_2Eextreal_2Eextreal)
=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19039]) ).
fof(f19132,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0))
<~> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) ) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f19040]) ).
fof(f19480,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f18737]) ).
fof(f19481,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f19480]) ).
fof(f19482,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
<=> X0 = X1 )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f18734]) ).
fof(f19483,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f18731]) ).
fof(f19484,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f19483]) ).
fof(f19485,plain,
! [X0] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f18725]) ).
fof(f19486,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f19038]) ).
fof(f19487,plain,
! [X0] :
( ! [X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f19037]) ).
fof(f19488,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
<=> ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) )
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(ennf_transformation,[],[f19036]) ).
fof(f19515,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f19773,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(nnf_transformation,[],[f19132]) ).
fof(f19774,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X0)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)),X0)) )
& mem(X2,ty_2Eextreal_2Eextreal) )
& mem(X1,ty_2Eextreal_2Eextreal) )
& mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f19773]) ).
fof(f19775,plain,
( ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) )
& ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
& p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109)) )
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) )
& mem(sK111,ty_2Eextreal_2Eextreal)
& mem(sK110,ty_2Eextreal_2Eextreal)
& mem(sK109,ty_2Eextreal_2Eextreal) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109,sK110,sK111]),skolemize(X0,sK109),skolemize(X1,sK110),skolemize(X2,sK111)],[f19774]) ).
fof(f20305,plain,
! [X0] :
( ! [X1] :
( ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
| X0 != X1 )
& ( X0 = X1
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(nnf_transformation,[],[f19482]) ).
fof(f20306,plain,
! [X0] :
( ! [X1] :
( ( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) )
| X0 != X1 )
& ( X0 = X1
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0)) ) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f20305]) ).
fof(f20307,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ) )
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(nnf_transformation,[],[f19488]) ).
fof(f20308,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
& ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2)) ) )
& ( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2))) ) )
| ~ mem(X2,ty_2Eextreal_2Eextreal) )
| ~ mem(X1,ty_2Eextreal_2Eextreal) )
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(flattening,[],[f20307]) ).
fof(f20421,plain,
mem(sK109,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f19775]) ).
fof(f20422,plain,
mem(sK110,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f19775]) ).
fof(f20423,plain,
mem(sK111,ty_2Eextreal_2Eextreal),
inference(cnf_transformation,[],[f19775]) ).
fof(f20424,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) ),
inference(cnf_transformation,[],[f19775]) ).
fof(f20425,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) ),
inference(cnf_transformation,[],[f19775]) ).
fof(f20426,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) ),
inference(cnf_transformation,[],[f19775]) ).
fof(f21672,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f19481]) ).
fof(f21673,plain,
! [X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| X0 = X1
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f20306]) ).
fof(f21676,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f19484]) ).
fof(f21677,plain,
! [X0] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X0))
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f19485]) ).
fof(f21679,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f19486]) ).
fof(f21680,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f19487]) ).
fof(f21681,plain,
! [X2,X0,X1] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X1))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f20308]) ).
fof(f21682,plain,
! [X2,X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,X0),ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),X2))
| ~ mem(X2,ty_2Eextreal_2Eextreal)
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) ),
inference(cnf_transformation,[],[f20308]) ).
fof(f21685,plain,
mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))),
inference(cnf_transformation,[],[f18639]) ).
fof(f21743,plain,
! [X2,X3,X0,X1] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f19515]) ).
fof(f22427,definition,
( spl301_60
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109)) ),
introduced(definition,[new_symbols(definition,[spl301_60])],[avatar_definition]) ).
fof(f22428,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109))
| spl301_60 ),
inference(avatar_component_clause,[],[f22427]) ).
fof(f22429,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK109))
| ~ spl301_60 ),
inference(avatar_component_clause,[],[f22427]) ).
fof(f22431,definition,
( spl301_61
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109)) ),
introduced(definition,[new_symbols(definition,[spl301_61])],[avatar_definition]) ).
fof(f22432,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| spl301_61 ),
inference(avatar_component_clause,[],[f22431]) ).
fof(f22433,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ spl301_61 ),
inference(avatar_component_clause,[],[f22431]) ).
fof(f22434,plain,
( spl301_60
| spl301_61 ),
inference(avatar_split_clause,[],[f20424,f22431,f22427]) ).
fof(f22436,definition,
( spl301_62
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109)) ),
introduced(definition,[new_symbols(definition,[spl301_62])],[avatar_definition]) ).
fof(f22437,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| spl301_62 ),
inference(avatar_component_clause,[],[f22436]) ).
fof(f22438,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| ~ spl301_62 ),
inference(avatar_component_clause,[],[f22436]) ).
fof(f22439,plain,
( spl301_60
| spl301_62 ),
inference(avatar_split_clause,[],[f20425,f22436,f22427]) ).
fof(f22440,plain,
( ~ spl301_60
| ~ spl301_61
| ~ spl301_62 ),
inference(avatar_split_clause,[],[f20426,f22436,f22431,f22427]) ).
fof(f22444,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal) ),
inference(resolution,[],[f21681,f21677]) ).
fof(f22445,plain,
! [X0,X1] :
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X1))
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X0),X1)),X0))
| ~ mem(X1,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,X0),X1),ty_2Eextreal_2Eextreal) ),
inference(duplicate_literal_removal,[],[f22444]) ).
fof(f22457,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal) )
| spl301_62 ),
inference(resolution,[],[f22437,f21676]) ).
fof(f22460,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal) )
| spl301_62 ),
inference(forward_subsumption_resolution,[],[f22457,f20421]) ).
fof(f22462,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| spl301_62 ),
inference(forward_subsumption_resolution,[],[f22460,f20422]) ).
fof(f22466,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),X0)),sK109))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),X0),ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal) )
| spl301_62 ),
inference(resolution,[],[f22462,f21680]) ).
fof(f22472,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),X0)),sK109))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),X0),ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| spl301_62 ),
inference(forward_subsumption_resolution,[],[f22466,f20422]) ).
fof(f22496,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)))
| sK109 = ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| ~ spl301_60 ),
inference(resolution,[],[f21673,f22429]) ).
fof(f22510,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)))
| sK109 = ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| ~ spl301_60 ),
inference(forward_subsumption_resolution,[],[f22496,f20421]) ).
fof(f22513,definition,
( spl301_63
<=> mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal) ),
introduced(definition,[new_symbols(definition,[spl301_63])],[avatar_definition]) ).
fof(f22514,plain,
( mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| ~ spl301_63 ),
inference(avatar_component_clause,[],[f22513]) ).
fof(f22515,plain,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_63 ),
inference(avatar_component_clause,[],[f22513]) ).
fof(f22517,definition,
( spl301_64
<=> sK109 = ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111) ),
introduced(definition,[new_symbols(definition,[spl301_64])],[avatar_definition]) ).
fof(f22519,plain,
( sK109 = ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)
| ~ spl301_64 ),
inference(avatar_component_clause,[],[f22517]) ).
fof(f22521,definition,
( spl301_65
<=> p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111))) ),
introduced(definition,[new_symbols(definition,[spl301_65])],[avatar_definition]) ).
fof(f22523,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)))
| spl301_65 ),
inference(avatar_component_clause,[],[f22521]) ).
fof(f22524,plain,
( ~ spl301_63
| spl301_64
| ~ spl301_65
| ~ spl301_60 ),
inference(avatar_split_clause,[],[f22510,f22427,f22521,f22517,f22513]) ).
fof(f22525,plain,
( ! [X0] :
( ~ mem(ap(c_2Eextreal_2Eextreal__max,sK110),arr(X0,ty_2Eextreal_2Eextreal))
| ~ mem(sK111,X0) )
| spl301_63 ),
inference(resolution,[],[f22515,f21743]) ).
fof(f22526,plain,
( ! [X0,X1] :
( ~ mem(c_2Eextreal_2Eextreal__max,arr(X1,arr(X0,ty_2Eextreal_2Eextreal)))
| ~ mem(sK110,X1)
| ~ mem(sK111,X0) )
| spl301_63 ),
inference(resolution,[],[f22525,f21743]) ).
fof(f22547,plain,
( ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ spl301_60
| spl301_62 ),
inference(resolution,[],[f22472,f22429]) ).
fof(f22672,plain,
( ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| spl301_63 ),
inference(resolution,[],[f22526,f21685]) ).
fof(f22673,plain,
( ~ mem(sK111,ty_2Eextreal_2Eextreal)
| spl301_63 ),
inference(forward_subsumption_resolution,[],[f22672,f20422]) ).
fof(f22674,plain,
( $false
| spl301_63 ),
inference(forward_subsumption_resolution,[],[f22673,f20423]) ).
fof(f22675,plain,
spl301_63,
inference(avatar_contradiction_clause,[],[f22674]) ).
fof(f22676,plain,
( ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ spl301_60
| spl301_62
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22547,f22514]) ).
fof(f22679,plain,
( $false
| ~ spl301_60
| spl301_62
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22676,f20423]) ).
fof(f22680,plain,
( ~ spl301_60
| spl301_62
| ~ spl301_63 ),
inference(avatar_contradiction_clause,[],[f22679]) ).
fof(f22685,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),sK111))
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| spl301_65 ),
inference(resolution,[],[f22523,f21682]) ).
fof(f22691,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),sK111))
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22685,f20423]) ).
fof(f22694,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),sK111))
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22691,f20422]) ).
fof(f22696,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK109),sK111))
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22694,f20421]) ).
fof(f22702,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| spl301_65 ),
inference(resolution,[],[f22696,f21672]) ).
fof(f22703,plain,
( ~ mem(sK109,ty_2Eextreal_2Eextreal)
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| spl301_61
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22702,f22432]) ).
fof(f22705,plain,
( ~ mem(sK111,ty_2Eextreal_2Eextreal)
| spl301_61
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22703,f20421]) ).
fof(f22707,plain,
( $false
| spl301_61
| spl301_65 ),
inference(forward_subsumption_resolution,[],[f22705,f20423]) ).
fof(f22708,plain,
( spl301_61
| spl301_65 ),
inference(avatar_contradiction_clause,[],[f22707]) ).
fof(f22711,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ spl301_64 ),
inference(superposition,[],[f21679,f22519]) ).
fof(f22730,plain,
( ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| spl301_61
| ~ spl301_64 ),
inference(forward_subsumption_resolution,[],[f22711,f22432]) ).
fof(f22739,plain,
( ~ mem(sK110,ty_2Eextreal_2Eextreal)
| spl301_61
| ~ spl301_64 ),
inference(forward_subsumption_resolution,[],[f22730,f20423]) ).
fof(f22745,plain,
( $false
| spl301_61
| ~ spl301_64 ),
inference(forward_subsumption_resolution,[],[f22739,f20422]) ).
fof(f22746,plain,
( spl301_61
| ~ spl301_64 ),
inference(avatar_contradiction_clause,[],[f22745]) ).
fof(f22767,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(sK109,ty_2Eextreal_2Eextreal)
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal) )
| spl301_60 ),
inference(resolution,[],[f22428,f21676]) ).
fof(f22769,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(X0,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal) )
| spl301_60 ),
inference(forward_subsumption_resolution,[],[f22767,f20421]) ).
fof(f22771,plain,
( ! [X0] :
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),X0))
| ~ p(ap(ap(c_2Eextreal_2Eextreal__le,X0),sK109))
| ~ mem(X0,ty_2Eextreal_2Eextreal) )
| spl301_60
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22769,f22514]) ).
fof(f22777,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_63 ),
inference(resolution,[],[f22771,f22445]) ).
fof(f22788,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK111),sK109))
| ~ mem(sK111,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_63 ),
inference(duplicate_literal_removal,[],[f22777]) ).
fof(f22796,plain,
( ~ mem(sK111,ty_2Eextreal_2Eextreal)
| p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_61
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22788,f22433]) ).
fof(f22798,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_61
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22796,f20423]) ).
fof(f22800,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| ~ mem(ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111),ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_61
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22798,f20422]) ).
fof(f22802,plain,
( p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,sK110),sK111)),sK110))
| spl301_60
| ~ spl301_61
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22800,f22514]) ).
fof(f22859,plain,
( ~ p(ap(ap(c_2Eextreal_2Eextreal__le,sK110),sK109))
| ~ mem(sK110,ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_61
| ~ spl301_63 ),
inference(resolution,[],[f22802,f22771]) ).
fof(f22867,plain,
( ~ mem(sK110,ty_2Eextreal_2Eextreal)
| spl301_60
| ~ spl301_61
| ~ spl301_62
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22859,f22438]) ).
fof(f22870,plain,
( $false
| spl301_60
| ~ spl301_61
| ~ spl301_62
| ~ spl301_63 ),
inference(forward_subsumption_resolution,[],[f22867,f20422]) ).
fof(f22871,plain,
( spl301_60
| ~ spl301_61
| ~ spl301_62
| ~ spl301_63 ),
inference(avatar_contradiction_clause,[],[f22870]) ).
cnf(s64,plain,
( spl301_60
| spl301_61 ),
inference(sat_conversion,[],[f22434]) ).
cnf(s65,plain,
( spl301_60
| spl301_62 ),
inference(sat_conversion,[],[f22439]) ).
cnf(s66,plain,
( ~ spl301_60
| ~ spl301_61
| ~ spl301_62 ),
inference(sat_conversion,[],[f22440]) ).
cnf(s67,plain,
( ~ spl301_60
| ~ spl301_63
| spl301_64
| ~ spl301_65 ),
inference(sat_conversion,[],[f22524]) ).
cnf(s69,plain,
spl301_63,
inference(sat_conversion,[],[f22675]) ).
cnf(s70,plain,
( ~ spl301_60
| spl301_62
| ~ spl301_63 ),
inference(sat_conversion,[],[f22680]) ).
cnf(s71,plain,
( spl301_61
| spl301_65 ),
inference(sat_conversion,[],[f22708]) ).
cnf(s72,plain,
( spl301_61
| ~ spl301_64 ),
inference(sat_conversion,[],[f22746]) ).
cnf(s80,plain,
( spl301_60
| ~ spl301_61
| ~ spl301_62
| ~ spl301_63 ),
inference(sat_conversion,[],[f22871]) ).
cnf(s83,plain,
( ~ spl301_60
| spl301_64
| ~ spl301_65 ),
inference(rat,[],[s67,s69]) ).
cnf(s84,plain,
spl301_60,
inference(rat,[],[s80,s64,s65,s69]) ).
cnf(s85,plain,
spl301_62,
inference(rat,[],[s70,s69,s84]) ).
cnf(s86,plain,
~ spl301_61,
inference(rat,[],[s66,s84,s85]) ).
cnf(s87,plain,
~ spl301_64,
inference(rat,[],[s72,s86]) ).
cnf(s88,plain,
spl301_65,
inference(rat,[],[s71,s86]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s83,s84,s88,s87]) ).
fof(f22881,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP021+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 12:09:43 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 20.86/7.15 % (2740955)Detected formulas, will run a generic FOF schedule.
% 20.86/7.15 % (2740968)dis-21_1_sil=8000:lcm=predicate:random_seed=3291897868:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2962 on theBenchmark for (2962ds/129Mi)
% 20.86/7.15 % (2740965)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1563362217:i=109:sd=1:ins=1:gsp=on:ss=axioms_2962 on theBenchmark for (2962ds/109Mi)
% 20.86/7.15 % (2740963)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=2155386327:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2962 on theBenchmark for (2962ds/134677Mi)
% 20.86/7.15 % (2740962)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=3504795181:i=141193_2962 on theBenchmark for (2962ds/141193Mi)
% 20.86/7.15 % (2740964)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=2865163156:i=141695:sd=1:nm=32:gsp=on:ss=included_2962 on theBenchmark for (2962ds/141695Mi)
% 20.86/7.15 % (2740967)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3485108962:s2a=on:i=139:gtg=position_2962 on theBenchmark for (2962ds/139Mi)
% 20.86/7.15 % (2740966)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=710902433:i=119:av=off:ss=axioms_2962 on theBenchmark for (2962ds/119Mi)
% 20.86/7.15 % (2740965)Instruction limit reached!
% 20.86/7.15 % (2740965)------------------------------
% 20.86/7.15 % (2740965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.86/7.15 % (2740965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/7.15 % (2740965)CaDiCaL version: 2.1.3
% 20.86/7.15 % (2740965)Termination reason: Instruction limit
% 20.86/7.15 % (2740965)Termination phase: SInE selection
% 20.86/7.15 % (2740965)Time elapsed: 0.066 s
% 20.86/7.15 % (2740965)Peak memory usage: 123 MB
% 20.86/7.15 % (2740965)Instructions burned: 109 (million)
% 20.86/7.15 % (2740968)Instruction limit reached!
% 20.86/7.15 % (2740968)------------------------------
% 20.86/7.15 % (2740968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.86/7.15 % (2740968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/7.15 % (2740968)CaDiCaL version: 2.1.3
% 20.86/7.15 % (2740968)Termination reason: Instruction limit
% 20.86/7.15 % (2740968)Termination phase: SInE selection
% 20.86/7.15 % (2740968)Time elapsed: 0.111 s
% 20.86/7.15 % (2740968)Peak memory usage: 123 MB
% 20.86/7.15 % (2740968)Instructions burned: 129 (million)
% 20.86/7.15 % (2740967)Instruction limit reached!
% 20.86/7.15 % (2740967)------------------------------
% 20.86/7.15 % (2740967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.86/7.15 % (2740967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/7.15 % (2740967)CaDiCaL version: 2.1.3
% 20.86/7.15 % (2740967)Termination reason: Instruction limit
% 20.86/7.15 % (2740967)Termination phase: Property scanning
% 20.86/7.15 % (2740967)Time elapsed: 0.116 s
% 20.86/7.15 % (2740967)Peak memory usage: 123 MB
% 20.86/7.15 % (2740967)Instructions burned: 140 (million)
% 20.86/7.15 % (2740966)Instruction limit reached!
% 20.86/7.15 % (2740966)------------------------------
% 20.86/7.15 % (2740966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.86/7.15 % (2740966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/7.15 % (2740966)CaDiCaL version: 2.1.3
% 20.86/7.15 % (2740966)Termination reason: Instruction limit
% 20.86/7.15 % (2740966)Termination phase: SInE selection
% 20.86/7.15 % (2740966)Time elapsed: 0.120 s
% 20.86/7.15 % (2740966)Peak memory usage: 123 MB
% 20.86/7.15 % (2740966)Instructions burned: 120 (million)
% 20.86/7.15 % (2740977)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3698364544:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/157Mi)
% 20.86/7.15 % (2740976)lrs+10_1_sil=8000:sp=occurrence:random_seed=1453393311:i=285:sd=3:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/285Mi)
% 20.86/7.15 % (2740977)Instruction limit reached!
% 20.86/7.15 % (2740977)------------------------------
% 20.86/7.15 % (2740977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.86/7.15 % (2740977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/7.15 % (2740977)CaDiCaL version: 2.1.3
% 20.86/7.15 % (2740977)Termination reason: Instruction limit
% 28.27/8.56 % (2740977)Termination phase: Property scanning
% 28.27/8.56 % (2740977)Time elapsed: 0.063 s
% 28.27/8.56 % (2740977)Peak memory usage: 124 MB
% 28.27/8.56 % (2740977)Instructions burned: 159 (million)
% 28.27/8.56 % (2740979)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=149048148:s2a=on:i=248:s2at=1.23:gtg=position_2959 on theBenchmark for (2959ds/248Mi)
% 28.27/8.56 % (2740978)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2066990953:i=325:sd=1:ss=axioms:sgt=32_2959 on theBenchmark for (2959ds/325Mi)
% 28.27/8.56 % (2740979)Instruction limit reached!
% 28.27/8.56 % (2740979)------------------------------
% 28.27/8.56 % (2740979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740979)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740979)Termination reason: Instruction limit
% 28.27/8.56 % (2740979)Termination phase: Property scanning
% 28.27/8.56 % (2740979)Time elapsed: 0.100 s
% 28.27/8.56 % (2740979)Peak memory usage: 123 MB
% 28.27/8.56 % (2740979)Instructions burned: 249 (million)
% 28.27/8.56 % (2740982)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2787259882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2958 on theBenchmark for (2958ds/294Mi)
% 28.27/8.56 % (2740976)Instruction limit reached!
% 28.27/8.56 % (2740976)------------------------------
% 28.27/8.56 % (2740976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740976)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740976)Termination reason: Instruction limit
% 28.27/8.56 % (2740976)Termination phase: Saturation
% 28.27/8.56 % (2740976)Time elapsed: 0.299 s
% 28.27/8.56 % (2740976)Peak memory usage: 130 MB
% 28.27/8.56 % (2740976)Instructions burned: 285 (million)
% 28.27/8.56 % (2740982)Instruction limit reached!
% 28.27/8.56 % (2740982)------------------------------
% 28.27/8.56 % (2740982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740982)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740982)Termination reason: Instruction limit
% 28.27/8.56 % (2740982)Termination phase: SInE selection
% 28.27/8.56 % (2740982)Time elapsed: 0.157 s
% 28.27/8.56 % (2740982)Peak memory usage: 123 MB
% 28.27/8.56 % (2740982)Instructions burned: 294 (million)
% 28.27/8.56 % (2740985)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2587213056:i=2350_2956 on theBenchmark for (2956ds/2350Mi)
% 28.27/8.56 % (2740987)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3385786154:cts=off:i=113:fsr=off:ss=included:sgt=4_2955 on theBenchmark for (2955ds/113Mi)
% 28.27/8.56 % (2740978)Instruction limit reached!
% 28.27/8.56 % (2740978)------------------------------
% 28.27/8.56 % (2740978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740978)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740978)Termination reason: Instruction limit
% 28.27/8.56 % (2740978)Termination phase: Saturation
% 28.27/8.56 % (2740978)Time elapsed: 0.345 s
% 28.27/8.56 % (2740978)Peak memory usage: 131 MB
% 28.27/8.56 % (2740978)Instructions burned: 325 (million)
% 28.27/8.56 % (2740988)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3888748908:i=127:av=off:fsr=off:sup=off_2955 on theBenchmark for (2955ds/127Mi)
% 28.27/8.56 % (2740987)Instruction limit reached!
% 28.27/8.56 % (2740987)------------------------------
% 28.27/8.56 % (2740987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740987)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740987)Termination reason: Instruction limit
% 28.27/8.56 % (2740987)Termination phase: SInE selection
% 28.27/8.56 % (2740987)Time elapsed: 0.111 s
% 28.27/8.56 % (2740987)Peak memory usage: 123 MB
% 28.27/8.56 % (2740987)Instructions burned: 113 (million)
% 28.27/8.56 % (2740988)Instruction limit reached!
% 28.27/8.56 % (2740988)------------------------------
% 28.27/8.56 % (2740988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740988)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740988)Termination reason: Instruction limit
% 28.27/8.56 % (2740988)Termination phase: Preprocessing 1
% 28.27/8.56 % (2740988)Time elapsed: 0.083 s
% 28.27/8.56 % (2740988)Peak memory usage: 123 MB
% 28.27/8.56 % (2740988)Instructions burned: 129 (million)
% 28.27/8.56 % (2740991)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1013040175:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2953 on theBenchmark for (2953ds/114Mi)
% 28.27/8.56 % (2740991)Instruction limit reached!
% 28.27/8.56 % (2740991)------------------------------
% 28.27/8.56 % (2740991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740991)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740991)Termination reason: Instruction limit
% 28.27/8.56 % (2740991)Termination phase: Property scanning
% 28.27/8.56 % (2740991)Time elapsed: 0.069 s
% 28.27/8.56 % (2740991)Peak memory usage: 123 MB
% 28.27/8.56 % (2740991)Instructions burned: 115 (million)
% 28.27/8.56 % (2740994)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=482485767:i=437:sd=1:aac=none:ss=included_2952 on theBenchmark for (2952ds/437Mi)
% 28.27/8.56 % (2740993)lrs+10_1_sil=8000:sp=occurrence:random_seed=2629950358:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2952 on theBenchmark for (2952ds/907Mi)
% 28.27/8.56 % (2740996)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2521869554:i=5202:ss=axioms:sgt=16_2951 on theBenchmark for (2951ds/5202Mi)
% 28.27/8.56 % (2740994)Instruction limit reached!
% 28.27/8.56 % (2740994)------------------------------
% 28.27/8.56 % (2740994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740994)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740994)Termination reason: Instruction limit
% 28.27/8.56 % (2740994)Termination phase: Function definition elimination
% 28.27/8.56 % (2740994)Time elapsed: 0.261 s
% 28.27/8.56 % (2740994)Peak memory usage: 133 MB
% 28.27/8.56 % (2740994)Instructions burned: 438 (million)
% 28.27/8.56 % (2741000)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2353865051:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2948 on theBenchmark for (2948ds/134Mi)
% 28.27/8.56 % (2741000)Instruction limit reached!
% 28.27/8.56 % (2741000)------------------------------
% 28.27/8.56 % (2741000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741000)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741000)Termination reason: Instruction limit
% 28.27/8.56 % (2741000)Termination phase: SInE selection
% 28.27/8.56 % (2741000)Time elapsed: 0.082 s
% 28.27/8.56 % (2741000)Peak memory usage: 123 MB
% 28.27/8.56 % (2741000)Instructions burned: 135 (million)
% 28.27/8.56 % (2741002)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3902156110:st=8:i=592:sd=3:ep=RST:ss=axioms_2945 on theBenchmark for (2945ds/592Mi)
% 28.27/8.56 % (2740993)Instruction limit reached!
% 28.27/8.56 % (2740993)------------------------------
% 28.27/8.56 % (2740993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740993)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740993)Termination reason: Instruction limit
% 28.27/8.56 % (2740993)Termination phase: Saturation
% 28.27/8.56 % (2740993)Time elapsed: 0.869 s
% 28.27/8.56 % (2740993)Peak memory usage: 138 MB
% 28.27/8.56 % (2740993)Instructions burned: 907 (million)
% 28.27/8.56 % (2741002)Instruction limit reached!
% 28.27/8.56 % (2741002)------------------------------
% 28.27/8.56 % (2741002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741002)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741002)Termination reason: Instruction limit
% 28.27/8.56 % (2741002)Termination phase: Naming
% 28.27/8.56 % (2741002)Time elapsed: 0.408 s
% 28.27/8.56 % (2741002)Peak memory usage: 132 MB
% 28.27/8.56 % (2741002)Instructions burned: 593 (million)
% 28.27/8.56 % (2741004)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2364347102:st=3:i=13193:sd=3:ss=axioms_2942 on theBenchmark for (2942ds/13193Mi)
% 28.27/8.56 % (2741007)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=2475116213:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2940 on theBenchmark for (2940ds/125Mi)
% 28.27/8.56 % (2741007)Instruction limit reached!
% 28.27/8.56 % (2741007)------------------------------
% 28.27/8.56 % (2741007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741007)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741007)Termination reason: Instruction limit
% 28.27/8.56 % (2741007)Termination phase: Property scanning
% 28.27/8.56 % (2741007)Time elapsed: 0.053 s
% 28.27/8.56 % (2741007)Peak memory usage: 123 MB
% 28.27/8.56 % (2741007)Instructions burned: 126 (million)
% 28.27/8.56 % (2741010)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=858994779:i=134:gtgl=5:slsql=off:gtg=exists_sym_2937 on theBenchmark for (2937ds/134Mi)
% 28.27/8.56 % (2741010)Instruction limit reached!
% 28.27/8.56 % (2741010)------------------------------
% 28.27/8.56 % (2741010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741010)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741010)Termination reason: Instruction limit
% 28.27/8.56 % (2741010)Termination phase: Property scanning
% 28.27/8.56 % (2741010)Time elapsed: 0.061 s
% 28.27/8.56 % (2741010)Peak memory usage: 123 MB
% 28.27/8.56 % (2741010)Instructions burned: 136 (million)
% 28.27/8.56 % (2741012)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3122697558:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2935 on theBenchmark for (2935ds/141Mi)
% 28.27/8.56 % (2741012)Instruction limit reached!
% 28.27/8.56 % (2741012)------------------------------
% 28.27/8.56 % (2741012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741012)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741012)Termination reason: Instruction limit
% 28.27/8.56 % (2741012)Termination phase: SInE selection
% 28.27/8.56 % (2741012)Time elapsed: 0.088 s
% 28.27/8.56 % (2741012)Peak memory usage: 123 MB
% 28.27/8.56 % (2741012)Instructions burned: 142 (million)
% 28.27/8.56 % (2740985)Instruction limit reached!
% 28.27/8.56 % (2740985)------------------------------
% 28.27/8.56 % (2740985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2740985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2740985)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2740985)Termination reason: Instruction limit
% 28.27/8.56 % (2740985)Termination phase: Property scanning
% 28.27/8.56 % (2740985)Time elapsed: 2.270 s
% 28.27/8.56 % (2740985)Peak memory usage: 201 MB
% 28.27/8.56 % (2740985)Instructions burned: 2351 (million)
% 28.27/8.56 % (2741014)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1211914769:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2933 on theBenchmark for (2933ds/431Mi)
% 28.27/8.56 % (2741015)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=455066004:i=6060:aac=none:ins=25_2931 on theBenchmark for (2931ds/6060Mi)
% 28.27/8.56 % (2740996)First to succeed.
% 28.27/8.56 % (2740996)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2740955"
% 28.27/8.56 % (2741014)Instruction limit reached!
% 28.27/8.56 % (2741014)------------------------------
% 28.27/8.56 % (2741014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.27/8.56 % (2741014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.27/8.56 % (2741014)CaDiCaL version: 2.1.3
% 28.27/8.56 % (2741014)Termination reason: Instruction limit
% 28.27/8.56 % (2741014)Termination phase: Saturation
% 28.27/8.56 % (2741014)Time elapsed: 0.441 s
% 28.27/8.56 % (2741014)Peak memory usage: 133 MB
% 28.27/8.56 % (2741014)Instructions burned: 431 (million)
% 28.27/8.56 % (2740996)Refutation found. Thanks to Tanya!
% 28.27/8.56 % SZS status Theorem for theBenchmark
% 28.27/8.56 % SZS output start Proof for theBenchmark
% See solution above
% 31.68/8.87 % (2740996)------------------------------
% 31.68/8.87 % (2740996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.68/8.87 % (2740996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/8.87 % (2740996)CaDiCaL version: 2.1.3
% 31.68/8.87 % (2740996)Termination reason: Refutation
% 31.68/8.87 % (2740996)Time elapsed: 2.024 s
% 31.68/8.87 % (2740996)Peak memory usage: 193 MB
% 31.68/8.87 % (2740996)Instructions burned: 1942 (million)
% 31.68/8.87 % (2740996)------------------------------
% 31.68/8.87 % (2740996)------------------------------
% 31.68/8.87 % (2740955)Success in time 7.562 s
% 31.68/8.87 % Vampire exiting
%------------------------------------------------------------------------------