%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU439+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:49:04 PM UTC 2026
% Result : Theorem 15.76s 4.23s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 108 ( 18 unt; 10 def)
% Number of atoms : 342 ( 21 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 409 ( 175 ~; 158 |; 42 &)
% ( 18 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 172 ( 0 sgn 151 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& ! [X2] :
~ ( r2_hidden(X2,X1)
& ! [X3] :
~ ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f355,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ~ ( X1 != k1_xboole_0
& ! [X2] :
( m1_subset_1(X2,X0)
=> ~ r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_subset_1) ).
fof(f712,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f1120,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f4478,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f4496,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f4515,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( X2 != k1_xboole_0
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_relset_2) ).
fof(f4516,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( X2 != k1_xboole_0
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f4515]) ).
fof(f4560,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f4478]) ).
fof(f4580,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4496]) ).
fof(f4581,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4580]) ).
fof(f4608,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& X2 != k1_xboole_0
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4516]) ).
fof(f4609,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& X2 != k1_xboole_0
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4608]) ).
fof(f4614,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f4624,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f355]) ).
fof(f4625,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4624]) ).
fof(f4732,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f712]) ).
fof(f4829,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ? [X2] :
( r2_hidden(X2,X1)
& ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f4906,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f5146,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f4560]) ).
fof(f5160,plain,
( ~ r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))
& k1_xboole_0 != sK6
& m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
& m1_subset_1(sK6,k1_zfmisc_1(sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f4609]) ).
fof(f5170,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ( r2_hidden(sK14(X0,X1),X1)
& m1_subset_1(sK14(X0,X1),X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f4625]) ).
fof(f5204,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f4732]) ).
fof(f5205,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f5204]) ).
fof(f5206,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK37(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK37(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK38(X0,X1,X2),sK37(X0,X1,X2)),X0)
& r2_hidden(sK38(X0,X1,X2),X1) )
| r2_hidden(sK37(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ( r2_hidden(k4_tarski(sK39(X0,X1,X6),X6),X0)
& r2_hidden(sK39(X0,X1,X6),X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39]),skolemize(X3,sK37(X0,X1,X2)),skolemize(X5,sK38(X0,X1,X2)),skolemize(X8,sK39(X0,X1,X6))],[f5205]) ).
fof(f5226,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ( r2_hidden(sK53(X1),X1)
& ! [X3] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,sK53(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X2,sK53(X1))],[f4829]) ).
fof(f5255,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f4906]) ).
fof(f5256,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f5255]) ).
fof(f5257,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK64(X0,X1),X1)
& r2_hidden(sK64(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X2,sK64(X0,X1))],[f5256]) ).
fof(f5405,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5146]) ).
fof(f5430,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3)
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4581]) ).
fof(f5456,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(cnf_transformation,[],[f5160]) ).
fof(f5457,plain,
m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5))),
inference(cnf_transformation,[],[f5160]) ).
fof(f5458,plain,
k1_xboole_0 != sK6,
inference(cnf_transformation,[],[f5160]) ).
fof(f5459,plain,
~ r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),
inference(cnf_transformation,[],[f5160]) ).
fof(f5468,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f4614]) ).
fof(f5481,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| r2_hidden(sK14(X0,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5170]) ).
fof(f5633,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f5206]) ).
fof(f5750,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r2_hidden(sK53(X1),X1) ),
inference(cnf_transformation,[],[f5226]) ).
fof(f5911,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK64(X0,X1),X0) ),
inference(cnf_transformation,[],[f5257]) ).
fof(f5912,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK64(X0,X1),X1) ),
inference(cnf_transformation,[],[f5257]) ).
fof(f6439,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f5633]) ).
fof(f6523,plain,
! [X2,X3,X4,X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3)
| sP163(X3,X4,X2) ),
inference(cnf_transformation,[],[f6523_D]) ).
fof(f6523_D,definition,
! [X2,X4,X3] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
<=> ~ sP163(X3,X4,X2) ),
introduced(definition,[new_symbols(definition,[sP163])],[general_splitting_component_introduction]) ).
fof(f6524,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ sP163(X3,X4,X2) ),
inference(general_splitting,[],[f5430,f6523_D]) ).
fof(f6676,definition,
( spl236_1
<=> r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)) ),
introduced(definition,[new_symbols(definition,[spl236_1])],[avatar_definition]) ).
fof(f6678,plain,
( ~ r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))
| spl236_1 ),
inference(avatar_component_clause,[],[f6676]) ).
fof(f6679,plain,
~ spl236_1,
inference(avatar_split_clause,[],[f5459,f6676]) ).
fof(f6681,definition,
( spl236_2
<=> m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl236_2])],[avatar_definition]) ).
fof(f6683,plain,
( m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| ~ spl236_2 ),
inference(avatar_component_clause,[],[f6681]) ).
fof(f6684,plain,
spl236_2,
inference(avatar_split_clause,[],[f5457,f6681]) ).
fof(f6718,plain,
( v1_relat_1(sK7)
| ~ spl236_2 ),
inference(resolution,[],[f6683,f5468]) ).
fof(f6990,definition,
( spl236_3
<=> v1_relat_1(sK7) ),
introduced(definition,[new_symbols(definition,[spl236_3])],[avatar_definition]) ).
fof(f6992,plain,
( v1_relat_1(sK7)
| ~ spl236_3 ),
inference(avatar_component_clause,[],[f6990]) ).
fof(f6993,plain,
( spl236_3
| ~ spl236_2 ),
inference(avatar_split_clause,[],[f6718,f6681,f6990]) ).
fof(f7010,plain,
( r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7))
| spl236_1 ),
inference(resolution,[],[f6678,f5911]) ).
fof(f7011,plain,
( ~ r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6))
| spl236_1 ),
inference(resolution,[],[f6678,f5912]) ).
fof(f7046,definition,
( spl236_4
<=> m1_subset_1(sK6,k1_zfmisc_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl236_4])],[avatar_definition]) ).
fof(f7048,plain,
( m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ spl236_4 ),
inference(avatar_component_clause,[],[f7046]) ).
fof(f7049,plain,
spl236_4,
inference(avatar_split_clause,[],[f5456,f7046]) ).
fof(f7086,plain,
( k1_xboole_0 = sK6
| r2_hidden(sK14(sK4,sK6),sK6)
| ~ spl236_4 ),
inference(resolution,[],[f7048,f5481]) ).
fof(f7291,plain,
( r2_hidden(sK14(sK4,sK6),sK6)
| ~ spl236_4 ),
inference(forward_subsumption_resolution,[],[f7086,f5458]) ).
fof(f7628,definition,
( spl236_9
<=> r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl236_9])],[avatar_definition]) ).
fof(f7630,plain,
( r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7))
| ~ spl236_9 ),
inference(avatar_component_clause,[],[f7628]) ).
fof(f7631,plain,
( spl236_9
| spl236_1 ),
inference(avatar_split_clause,[],[f7010,f6676,f7628]) ).
fof(f7633,definition,
( spl236_10
<=> r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6)) ),
introduced(definition,[new_symbols(definition,[spl236_10])],[avatar_definition]) ).
fof(f7635,plain,
( ~ r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6))
| spl236_10 ),
inference(avatar_component_clause,[],[f7633]) ).
fof(f7636,plain,
( ~ spl236_10
| spl236_1 ),
inference(avatar_split_clause,[],[f7011,f6676,f7633]) ).
fof(f7637,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6)
| ~ v1_relat_1(sK7) )
| spl236_10 ),
inference(resolution,[],[f7635,f6439]) ).
fof(f7687,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) )
| ~ spl236_3
| spl236_10 ),
inference(forward_subsumption_resolution,[],[f7637,f6992]) ).
fof(f7689,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ sP163(sK6,sK7,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl236_9 ),
inference(resolution,[],[f7630,f6524]) ).
fof(f7825,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ sP163(sK6,sK7,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl236_2
| ~ spl236_9 ),
inference(forward_subsumption_resolution,[],[f7689,f6683]) ).
fof(f7830,plain,
( ~ sP163(sK6,sK7,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl236_2
| ~ spl236_4
| ~ spl236_9 ),
inference(forward_subsumption_resolution,[],[f7825,f7048]) ).
fof(f7846,definition,
( spl236_14
<=> r2_hidden(sK14(sK4,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl236_14])],[avatar_definition]) ).
fof(f7848,plain,
( r2_hidden(sK14(sK4,sK6),sK6)
| ~ spl236_14 ),
inference(avatar_component_clause,[],[f7846]) ).
fof(f7849,plain,
( spl236_14
| ~ spl236_4 ),
inference(avatar_split_clause,[],[f7291,f7046,f7846]) ).
fof(f8173,definition,
( spl236_15
<=> ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl236_15])],[avatar_definition]) ).
fof(f8174,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) )
| ~ spl236_15 ),
inference(avatar_component_clause,[],[f8173]) ).
fof(f8175,plain,
( spl236_15
| ~ spl236_3
| spl236_10 ),
inference(avatar_split_clause,[],[f7687,f7633,f6990,f8173]) ).
fof(f8205,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| ~ r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0)))
| ~ v1_relat_1(sK7) )
| ~ spl236_15 ),
inference(resolution,[],[f8174,f5405]) ).
fof(f8295,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| ~ r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0))) )
| ~ spl236_3
| ~ spl236_15 ),
inference(forward_subsumption_resolution,[],[f8205,f6992]) ).
fof(f8491,plain,
( r2_hidden(sK53(sK6),sK6)
| ~ spl236_14 ),
inference(resolution,[],[f7848,f5750]) ).
fof(f9587,definition,
( spl236_27
<=> sP163(sK6,sK7,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))) ),
introduced(definition,[new_symbols(definition,[spl236_27])],[avatar_definition]) ).
fof(f9589,plain,
( ~ sP163(sK6,sK7,sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| spl236_27 ),
inference(avatar_component_clause,[],[f9587]) ).
fof(f9590,plain,
( ~ spl236_27
| ~ spl236_2
| ~ spl236_4
| ~ spl236_9 ),
inference(avatar_split_clause,[],[f7830,f7628,f7046,f6681,f9587]) ).
fof(f9591,plain,
( ! [X0] :
( r2_hidden(sK64(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0)))
| ~ r2_hidden(X0,sK6) )
| spl236_27 ),
inference(resolution,[],[f9589,f6523]) ).
fof(f9611,plain,
( ! [X0] : ~ r2_hidden(X0,sK6)
| ~ spl236_3
| ~ spl236_15
| spl236_27 ),
inference(forward_subsumption_resolution,[],[f9591,f8295]) ).
fof(f9634,plain,
( $false
| ~ spl236_3
| ~ spl236_14
| ~ spl236_15
| spl236_27 ),
inference(backward_subsumption_resolution,[],[f8491,f9611]) ).
fof(f9649,plain,
( ~ spl236_3
| ~ spl236_14
| ~ spl236_15
| spl236_27 ),
inference(avatar_contradiction_clause,[],[f9634]) ).
cnf(s1,plain,
~ spl236_1,
inference(sat_conversion,[],[f6679]) ).
cnf(s2,plain,
spl236_2,
inference(sat_conversion,[],[f6684]) ).
cnf(s3,plain,
( ~ spl236_2
| spl236_3 ),
inference(sat_conversion,[],[f6993]) ).
cnf(s4,plain,
spl236_4,
inference(sat_conversion,[],[f7049]) ).
cnf(s9,plain,
( spl236_1
| spl236_9 ),
inference(sat_conversion,[],[f7631]) ).
cnf(s10,plain,
( spl236_1
| ~ spl236_10 ),
inference(sat_conversion,[],[f7636]) ).
cnf(s12,plain,
( ~ spl236_4
| spl236_14 ),
inference(sat_conversion,[],[f7849]) ).
cnf(s13,plain,
( ~ spl236_3
| spl236_10
| spl236_15 ),
inference(sat_conversion,[],[f8175]) ).
cnf(s25,plain,
( ~ spl236_2
| ~ spl236_4
| ~ spl236_9
| ~ spl236_27 ),
inference(sat_conversion,[],[f9590]) ).
cnf(s27,plain,
( ~ spl236_3
| ~ spl236_14
| ~ spl236_15
| spl236_27 ),
inference(sat_conversion,[],[f9649]) ).
cnf(s29,plain,
spl236_14,
inference(rat,[],[s12,s4]) ).
cnf(s38,plain,
spl236_3,
inference(rat,[],[s3,s2]) ).
cnf(s42,plain,
~ spl236_10,
inference(rat,[],[s10,s1]) ).
cnf(s43,plain,
spl236_9,
inference(rat,[],[s9,s1]) ).
cnf(s44,plain,
spl236_15,
inference(rat,[],[s13,s38,s42]) ).
cnf(s45,plain,
~ spl236_27,
inference(rat,[],[s25,s2,s4,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s27,s38,s29,s45,s44]) ).
fof(f9650,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU439+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 28 05:29:18 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 15.76/4.23 % (1606888)Detected formulas, will run a generic FOF schedule.
% 15.76/4.23 % (1606903)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=360021326:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 15.76/4.23 % (1606909)dis-21_1_sil=8000:lcm=predicate:random_seed=321099646:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 15.76/4.23 % (1606904)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=3652420466:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 15.76/4.23 % (1606908)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4012205020:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 15.76/4.23 % (1606907)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=417933646:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 15.76/4.23 % (1606906)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=195250930:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 15.76/4.23 % (1606905)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=359015748:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 15.76/4.23 % (1606909)Instruction limit reached!
% 15.76/4.23 % (1606909)------------------------------
% 15.76/4.23 % (1606909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606909)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606909)Termination reason: Instruction limit
% 15.76/4.23 % (1606909)Termination phase: Clausification
% 15.76/4.23 % (1606909)Time elapsed: 0.098 s
% 15.76/4.23 % (1606909)Peak memory usage: 95 MB
% 15.76/4.23 % (1606909)Instructions burned: 129 (million)
% 15.76/4.23 % (1606906)Instruction limit reached!
% 15.76/4.23 % (1606906)------------------------------
% 15.76/4.23 % (1606906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606906)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606906)Termination reason: Instruction limit
% 15.76/4.23 % (1606906)Termination phase: Saturation
% 15.76/4.23 % (1606906)Time elapsed: 0.117 s
% 15.76/4.23 % (1606906)Peak memory usage: 94 MB
% 15.76/4.23 % (1606906)Instructions burned: 109 (million)
% 15.76/4.23 % (1606907)Instruction limit reached!
% 15.76/4.23 % (1606907)------------------------------
% 15.76/4.23 % (1606907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606907)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606907)Termination reason: Instruction limit
% 15.76/4.23 % (1606907)Termination phase: Saturation
% 15.76/4.23 % (1606907)Time elapsed: 0.124 s
% 15.76/4.23 % (1606907)Peak memory usage: 94 MB
% 15.76/4.23 % (1606907)Instructions burned: 120 (million)
% 15.76/4.23 % (1606908)Instruction limit reached!
% 15.76/4.23 % (1606908)------------------------------
% 15.76/4.23 % (1606908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606908)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606908)Termination reason: Instruction limit
% 15.76/4.23 % (1606908)Termination phase: Preprocessing 3
% 15.76/4.23 % (1606908)Time elapsed: 0.147 s
% 15.76/4.23 % (1606908)Peak memory usage: 94 MB
% 15.76/4.23 % (1606908)Instructions burned: 139 (million)
% 15.76/4.23 % (1606918)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2662819494:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 15.76/4.23 % (1606917)lrs+10_1_sil=8000:sp=occurrence:random_seed=3562034886:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 15.76/4.23 % (1606919)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1059577850:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 15.76/4.23 % (1606920)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=562695077:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.76/4.23 % (1606918)Instruction limit reached!
% 15.76/4.23 % (1606918)------------------------------
% 15.76/4.23 % (1606918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606918)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606918)Termination reason: Instruction limit
% 15.76/4.23 % (1606918)Termination phase: Saturation
% 15.76/4.23 % (1606918)Time elapsed: 0.141 s
% 15.76/4.23 % (1606918)Peak memory usage: 94 MB
% 15.76/4.23 % (1606918)Instructions burned: 158 (million)
% 15.76/4.23 % (1606917)Instruction limit reached!
% 15.76/4.23 % (1606917)------------------------------
% 15.76/4.23 % (1606917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606917)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606917)Termination reason: Instruction limit
% 15.76/4.23 % (1606917)Termination phase: Saturation
% 15.76/4.23 % (1606917)Time elapsed: 0.308 s
% 15.76/4.23 % (1606917)Peak memory usage: 98 MB
% 15.76/4.23 % (1606917)Instructions burned: 286 (million)
% 15.76/4.23 % (1606920)Instruction limit reached!
% 15.76/4.23 % (1606920)------------------------------
% 15.76/4.23 % (1606920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606920)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606920)Termination reason: Instruction limit
% 15.76/4.23 % (1606920)Termination phase: Property scanning
% 15.76/4.23 % (1606920)Time elapsed: 0.243 s
% 15.76/4.23 % (1606920)Peak memory usage: 99 MB
% 15.76/4.23 % (1606920)Instructions burned: 249 (million)
% 15.76/4.23 % (1606925)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3444980795:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 15.76/4.23 % (1606919)Instruction limit reached!
% 15.76/4.23 % (1606919)------------------------------
% 15.76/4.23 % (1606919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606919)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606919)Termination reason: Instruction limit
% 15.76/4.23 % (1606919)Termination phase: Saturation
% 15.76/4.23 % (1606919)Time elapsed: 0.383 s
% 15.76/4.23 % (1606919)Peak memory usage: 97 MB
% 15.76/4.23 % (1606919)Instructions burned: 325 (million)
% 15.76/4.23 % (1606927)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3914503213:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 15.76/4.23 % (1606926)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1614298951:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 15.76/4.23 % (1606927)Instruction limit reached!
% 15.76/4.23 % (1606927)------------------------------
% 15.76/4.23 % (1606927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606927)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606927)Termination reason: Instruction limit
% 15.76/4.23 % (1606927)Termination phase: Saturation
% 15.76/4.23 % (1606927)Time elapsed: 0.116 s
% 15.76/4.23 % (1606927)Peak memory usage: 94 MB
% 15.76/4.23 % (1606927)Instructions burned: 113 (million)
% 15.76/4.23 % (1606925)Instruction limit reached!
% 15.76/4.23 % (1606925)------------------------------
% 15.76/4.23 % (1606925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606925)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606925)Termination reason: Instruction limit
% 15.76/4.23 % (1606925)Termination phase: Saturation
% 15.76/4.23 % (1606925)Time elapsed: 0.309 s
% 15.76/4.23 % (1606925)Peak memory usage: 97 MB
% 15.76/4.23 % (1606925)Instructions burned: 294 (million)
% 15.76/4.23 % (1606933)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=337612622:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 15.76/4.23 % (1606933)Instruction limit reached!
% 15.76/4.23 % (1606933)------------------------------
% 15.76/4.23 % (1606933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606933)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606933)Termination reason: Instruction limit
% 15.76/4.23 % (1606933)Termination phase: Preprocessing 3
% 15.76/4.23 % (1606933)Time elapsed: 0.141 s
% 15.76/4.23 % (1606933)Peak memory usage: 96 MB
% 15.76/4.23 % (1606933)Instructions burned: 127 (million)
% 15.76/4.23 % (1606936)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2321417614:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 15.76/4.23 % (1606937)lrs+10_1_sil=8000:sp=occurrence:random_seed=3495702954:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 15.76/4.23 % (1606936)Instruction limit reached!
% 15.76/4.23 % (1606936)------------------------------
% 15.76/4.23 % (1606936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606936)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606936)Termination reason: Instruction limit
% 15.76/4.23 % (1606936)Termination phase: SInE selection
% 15.76/4.23 % (1606936)Time elapsed: 0.097 s
% 15.76/4.23 % (1606936)Peak memory usage: 89 MB
% 15.76/4.23 % (1606936)Instructions burned: 114 (million)
% 15.76/4.23 % (1606939)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3053563264:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 15.76/4.23 % (1606942)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=772423403:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 15.76/4.23 % (1606939)Instruction limit reached!
% 15.76/4.23 % (1606939)------------------------------
% 15.76/4.23 % (1606939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606939)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606939)Termination reason: Instruction limit
% 15.76/4.23 % (1606939)Termination phase: Saturation
% 15.76/4.23 % (1606939)Time elapsed: 0.465 s
% 15.76/4.23 % (1606939)Peak memory usage: 98 MB
% 15.76/4.23 % (1606939)Instructions burned: 438 (million)
% 15.76/4.23 % (1606905)First to succeed.
% 15.76/4.23 % (1606905)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1606888"
% 15.76/4.23 % (1606937)Instruction limit reached!
% 15.76/4.23 % (1606937)------------------------------
% 15.76/4.23 % (1606937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606937)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606937)Termination reason: Instruction limit
% 15.76/4.23 % (1606937)Termination phase: Saturation
% 15.76/4.23 % (1606937)Time elapsed: 0.928 s
% 15.76/4.23 % (1606937)Peak memory usage: 105 MB
% 15.76/4.23 % (1606937)Instructions burned: 907 (million)
% 15.76/4.23 % (1606945)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3277330209:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 15.76/4.23 % (1606903)Also succeeded, but the first one will report.
% 15.76/4.23 % (1606945)Instruction limit reached!
% 15.76/4.23 % (1606945)------------------------------
% 15.76/4.23 % (1606945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/4.23 % (1606945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/4.23 % (1606945)CaDiCaL version: 2.1.3
% 15.76/4.23 % (1606945)Termination reason: Instruction limit
% 15.76/4.23 % (1606945)Termination phase: Saturation
% 15.76/4.23 % (1606945)Time elapsed: 0.149 s
% 15.76/4.23 % (1606945)Peak memory usage: 96 MB
% 15.76/4.23 % (1606945)Instructions burned: 135 (million)
% 15.76/4.23 % (1606948)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2571778334:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 15.76/4.23 % (1606905)Refutation found. Thanks to Tanya!
% 15.76/4.23 % SZS status Theorem for theBenchmark
% 15.76/4.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/4.51 % (1606905)------------------------------
% 0.23/4.51 % (1606905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/4.51 % (1606905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/4.51 % (1606905)CaDiCaL version: 2.1.3
% 0.23/4.51 % (1606905)Termination reason: Refutation
% 0.23/4.51 % (1606905)Time elapsed: 2.172 s
% 0.23/4.51 % (1606905)Peak memory usage: 149 MB
% 0.23/4.51 % (1606905)Instructions burned: 2099 (million)
% 0.23/4.51 % (1606905)------------------------------
% 0.23/4.51 % (1606905)------------------------------
% 0.23/4.51 % (1606888)Success in time 3.134 s
% 0.23/4.51 % Vampire exiting
%------------------------------------------------------------------------------