%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU439+3 : 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 16.47s 4.13s
% Output : Refutation 17.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 103 ( 18 unt; 10 def)
% Number of atoms : 326 ( 21 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 387 ( 164 ~; 152 |; 37 &)
% ( 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 : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 159 ( 0 sgn 139 !; 20 ?)
% 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(f492,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(f849,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(f1333,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(f19077,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(f19095,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(f19114,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(f19115,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)],[f19114]) ).
fof(f19204,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,[],[f19077]) ).
fof(f19224,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,[],[f19095]) ).
fof(f19225,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,[],[f19224]) ).
fof(f19252,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,[],[f19115]) ).
fof(f19253,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,[],[f19252]) ).
fof(f19285,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f19366,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,[],[f849]) ).
fof(f19474,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,[],[f492]) ).
fof(f19475,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,[],[f19474]) ).
fof(f19565,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19836,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,[],[f19204]) ).
fof(f19850,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)],[f19253]) ).
fof(f19876,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,[],[f19366]) ).
fof(f19877,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,[],[f19876]) ).
fof(f19878,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK26(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK26(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK27(X0,X1,X2),sK26(X0,X1,X2)),X0)
& r2_hidden(sK27(X0,X1,X2),X1) )
| r2_hidden(sK26(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(sK28(X0,X1,X6),X6),X0)
& r2_hidden(sK28(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,[sK26,sK27,sK28]),skolemize(X3,sK26(X0,X1,X2)),skolemize(X5,sK27(X0,X1,X2)),skolemize(X8,sK28(X0,X1,X6))],[f19877]) ).
fof(f19912,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ( r2_hidden(sK51(X0,X1),X1)
& m1_subset_1(sK51(X0,X1),X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X2,sK51(X0,X1))],[f19475]) ).
fof(f19948,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,[],[f19565]) ).
fof(f19949,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,[],[f19948]) ).
fof(f19950,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK63(X0,X1),X1)
& r2_hidden(sK63(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X2,sK63(X0,X1))],[f19949]) ).
fof(f20112,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,[],[f19836]) ).
fof(f20137,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,[],[f19225]) ).
fof(f20163,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(cnf_transformation,[],[f19850]) ).
fof(f20164,plain,
m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5))),
inference(cnf_transformation,[],[f19850]) ).
fof(f20165,plain,
k1_xboole_0 != sK6,
inference(cnf_transformation,[],[f19850]) ).
fof(f20166,plain,
~ r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),
inference(cnf_transformation,[],[f19850]) ).
fof(f20228,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f19285]) ).
fof(f20305,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,[],[f19878]) ).
fof(f20453,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| r2_hidden(sK51(X0,X1),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f19912]) ).
fof(f20652,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK63(X0,X1),X0) ),
inference(cnf_transformation,[],[f19950]) ).
fof(f20653,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK63(X0,X1),X1) ),
inference(cnf_transformation,[],[f19950]) ).
fof(f21180,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,[],[f20305]) ).
fof(f21271,plain,
! [X2,X3,X4,X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3)
| sP180(X3,X4,X2) ),
inference(cnf_transformation,[],[f21271_D]) ).
fof(f21271_D,definition,
! [X2,X4,X3] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
<=> ~ sP180(X3,X4,X2) ),
introduced(definition,[new_symbols(definition,[sP180])],[general_splitting_component_introduction]) ).
fof(f21272,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))
| ~ sP180(X3,X4,X2) ),
inference(general_splitting,[],[f20137,f21271_D]) ).
fof(f21472,definition,
( spl270_1
<=> r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)) ),
introduced(definition,[new_symbols(definition,[spl270_1])],[avatar_definition]) ).
fof(f21474,plain,
( ~ r1_tarski(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))
| spl270_1 ),
inference(avatar_component_clause,[],[f21472]) ).
fof(f21475,plain,
~ spl270_1,
inference(avatar_split_clause,[],[f20166,f21472]) ).
fof(f21477,definition,
( spl270_2
<=> m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl270_2])],[avatar_definition]) ).
fof(f21479,plain,
( m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| ~ spl270_2 ),
inference(avatar_component_clause,[],[f21477]) ).
fof(f21480,plain,
spl270_2,
inference(avatar_split_clause,[],[f20164,f21477]) ).
fof(f21511,plain,
( v1_relat_1(sK7)
| ~ spl270_2 ),
inference(resolution,[],[f21479,f20228]) ).
fof(f21794,definition,
( spl270_3
<=> v1_relat_1(sK7) ),
introduced(definition,[new_symbols(definition,[spl270_3])],[avatar_definition]) ).
fof(f21796,plain,
( v1_relat_1(sK7)
| ~ spl270_3 ),
inference(avatar_component_clause,[],[f21794]) ).
fof(f21797,plain,
( spl270_3
| ~ spl270_2 ),
inference(avatar_split_clause,[],[f21511,f21477,f21794]) ).
fof(f21816,plain,
( r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7))
| spl270_1 ),
inference(resolution,[],[f21474,f20652]) ).
fof(f21817,plain,
( ~ r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6))
| spl270_1 ),
inference(resolution,[],[f21474,f20653]) ).
fof(f21857,definition,
( spl270_5
<=> m1_subset_1(sK6,k1_zfmisc_1(sK4)) ),
introduced(definition,[new_symbols(definition,[spl270_5])],[avatar_definition]) ).
fof(f21859,plain,
( m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ spl270_5 ),
inference(avatar_component_clause,[],[f21857]) ).
fof(f21860,plain,
spl270_5,
inference(avatar_split_clause,[],[f20163,f21857]) ).
fof(f21890,plain,
( k1_xboole_0 = sK6
| r2_hidden(sK51(sK4,sK6),sK6)
| ~ spl270_5 ),
inference(resolution,[],[f21859,f20453]) ).
fof(f22111,plain,
( r2_hidden(sK51(sK4,sK6),sK6)
| ~ spl270_5 ),
inference(forward_subsumption_resolution,[],[f21890,f20165]) ).
fof(f22354,definition,
( spl270_9
<=> r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl270_9])],[avatar_definition]) ).
fof(f22356,plain,
( r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k8_relset_2(sK4,sK5,sK6,sK7))
| ~ spl270_9 ),
inference(avatar_component_clause,[],[f22354]) ).
fof(f22357,plain,
( spl270_9
| spl270_1 ),
inference(avatar_split_clause,[],[f21816,f21472,f22354]) ).
fof(f22474,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(k2_zfmisc_1(sK4,sK5)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ sP180(sK6,sK7,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl270_9 ),
inference(resolution,[],[f22356,f21272]) ).
fof(f22620,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ sP180(sK6,sK7,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl270_2
| ~ spl270_9 ),
inference(forward_subsumption_resolution,[],[f22474,f21479]) ).
fof(f22625,plain,
( ~ sP180(sK6,sK7,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| ~ spl270_2
| ~ spl270_5
| ~ spl270_9 ),
inference(forward_subsumption_resolution,[],[f22620,f21859]) ).
fof(f22628,definition,
( spl270_10
<=> r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6)) ),
introduced(definition,[new_symbols(definition,[spl270_10])],[avatar_definition]) ).
fof(f22630,plain,
( ~ r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,sK6))
| spl270_10 ),
inference(avatar_component_clause,[],[f22628]) ).
fof(f22631,plain,
( ~ spl270_10
| spl270_1 ),
inference(avatar_split_clause,[],[f21817,f21472,f22628]) ).
fof(f22632,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6)
| ~ v1_relat_1(sK7) )
| spl270_10 ),
inference(resolution,[],[f22630,f21180]) ).
fof(f22721,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) )
| ~ spl270_3
| spl270_10 ),
inference(forward_subsumption_resolution,[],[f22632,f21796]) ).
fof(f22724,definition,
( spl270_11
<=> ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl270_11])],[avatar_definition]) ).
fof(f22725,plain,
( ! [X0] :
( ~ r2_hidden(k4_tarski(X0,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))),sK7)
| ~ r2_hidden(X0,sK6) )
| ~ spl270_11 ),
inference(avatar_component_clause,[],[f22724]) ).
fof(f22726,plain,
( spl270_11
| ~ spl270_3
| spl270_10 ),
inference(avatar_split_clause,[],[f22721,f22628,f21794,f22724]) ).
fof(f22728,definition,
( spl270_12
<=> r2_hidden(sK51(sK4,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl270_12])],[avatar_definition]) ).
fof(f22730,plain,
( r2_hidden(sK51(sK4,sK6),sK6)
| ~ spl270_12 ),
inference(avatar_component_clause,[],[f22728]) ).
fof(f22731,plain,
( spl270_12
| ~ spl270_5 ),
inference(avatar_split_clause,[],[f22111,f21857,f22728]) ).
fof(f23083,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| ~ r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0)))
| ~ v1_relat_1(sK7) )
| ~ spl270_11 ),
inference(resolution,[],[f22725,f20112]) ).
fof(f23173,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| ~ r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0))) )
| ~ spl270_3
| ~ spl270_11 ),
inference(forward_subsumption_resolution,[],[f23083,f21796]) ).
fof(f26076,definition,
( spl270_33
<=> sP180(sK6,sK7,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6))) ),
introduced(definition,[new_symbols(definition,[spl270_33])],[avatar_definition]) ).
fof(f26078,plain,
( ~ sP180(sK6,sK7,sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)))
| spl270_33 ),
inference(avatar_component_clause,[],[f26076]) ).
fof(f26079,plain,
( ~ spl270_33
| ~ spl270_2
| ~ spl270_5
| ~ spl270_9 ),
inference(avatar_split_clause,[],[f22625,f22354,f21857,f21477,f26076]) ).
fof(f26080,plain,
( ! [X0] :
( r2_hidden(sK63(k8_relset_2(sK4,sK5,sK6,sK7),k9_relat_1(sK7,sK6)),k9_relat_1(sK7,k1_tarski(X0)))
| ~ r2_hidden(X0,sK6) )
| spl270_33 ),
inference(resolution,[],[f26078,f21271]) ).
fof(f26100,plain,
( ! [X0] : ~ r2_hidden(X0,sK6)
| ~ spl270_3
| ~ spl270_11
| spl270_33 ),
inference(forward_subsumption_resolution,[],[f26080,f23173]) ).
fof(f26122,plain,
( $false
| ~ spl270_3
| ~ spl270_11
| ~ spl270_12
| spl270_33 ),
inference(backward_subsumption_resolution,[],[f22730,f26100]) ).
fof(f26139,plain,
( ~ spl270_3
| ~ spl270_11
| ~ spl270_12
| spl270_33 ),
inference(avatar_contradiction_clause,[],[f26122]) ).
cnf(s1,plain,
~ spl270_1,
inference(sat_conversion,[],[f21475]) ).
cnf(s2,plain,
spl270_2,
inference(sat_conversion,[],[f21480]) ).
cnf(s3,plain,
( ~ spl270_2
| spl270_3 ),
inference(sat_conversion,[],[f21797]) ).
cnf(s5,plain,
spl270_5,
inference(sat_conversion,[],[f21860]) ).
cnf(s9,plain,
( spl270_1
| spl270_9 ),
inference(sat_conversion,[],[f22357]) ).
cnf(s10,plain,
( spl270_1
| ~ spl270_10 ),
inference(sat_conversion,[],[f22631]) ).
cnf(s11,plain,
( ~ spl270_3
| spl270_10
| spl270_11 ),
inference(sat_conversion,[],[f22726]) ).
cnf(s12,plain,
( ~ spl270_5
| spl270_12 ),
inference(sat_conversion,[],[f22731]) ).
cnf(s33,plain,
( ~ spl270_2
| ~ spl270_5
| ~ spl270_9
| ~ spl270_33 ),
inference(sat_conversion,[],[f26079]) ).
cnf(s35,plain,
( ~ spl270_3
| ~ spl270_11
| ~ spl270_12
| spl270_33 ),
inference(sat_conversion,[],[f26139]) ).
cnf(s37,plain,
spl270_12,
inference(rat,[],[s12,s5]) ).
cnf(s49,plain,
spl270_3,
inference(rat,[],[s3,s2]) ).
cnf(s58,plain,
~ spl270_10,
inference(rat,[],[s10,s1]) ).
cnf(s59,plain,
spl270_9,
inference(rat,[],[s9,s1]) ).
cnf(s60,plain,
spl270_11,
inference(rat,[],[s11,s49,s58]) ).
cnf(s61,plain,
~ spl270_33,
inference(rat,[],[s33,s2,s5,s59]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s35,s49,s37,s61,s60]) ).
fof(f26140,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU439+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 05:30:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 16.47/4.09 % (1611313)Detected formulas, will run a generic FOF schedule.
% 16.47/4.09 % (1611318)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=2366828339:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 16.47/4.09 % (1611321)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2817822830:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 16.47/4.09 % (1611320)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=3515958303:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 16.47/4.09 % (1611323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2730597076:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 16.47/4.09 % (1611322)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1371974565:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 16.47/4.09 % (1611319)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=2082593058:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 16.47/4.09 % (1611324)dis-21_1_sil=8000:lcm=predicate:random_seed=4090434754:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 16.47/4.09 % (1611323)Instruction limit reached!
% 16.47/4.09 % (1611323)------------------------------
% 16.47/4.09 % (1611323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.09 % (1611323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.09 % (1611323)CaDiCaL version: 2.1.3
% 16.47/4.09 % (1611323)Termination reason: Instruction limit
% 16.47/4.09 % (1611323)Termination phase: Property scanning
% 16.47/4.09 % (1611323)Time elapsed: 0.060 s
% 16.47/4.09 % (1611323)Peak memory usage: 112 MB
% 16.47/4.09 % (1611323)Instructions burned: 139 (million)
% 16.47/4.09 % (1611321)Instruction limit reached!
% 16.47/4.09 % (1611321)------------------------------
% 16.47/4.09 % (1611321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.09 % (1611321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.09 % (1611321)CaDiCaL version: 2.1.3
% 16.47/4.09 % (1611321)Termination reason: Instruction limit
% 16.47/4.09 % (1611321)Termination phase: SInE selection
% 16.47/4.09 % (1611321)Time elapsed: 0.084 s
% 16.47/4.09 % (1611321)Peak memory usage: 112 MB
% 16.47/4.09 % (1611321)Instructions burned: 110 (million)
% 16.47/4.09 % (1611324)Instruction limit reached!
% 16.47/4.09 % (1611324)------------------------------
% 16.47/4.09 % (1611324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.09 % (1611324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.09 % (1611324)CaDiCaL version: 2.1.3
% 16.47/4.09 % (1611324)Termination reason: Instruction limit
% 16.47/4.09 % (1611324)Termination phase: SInE selection
% 16.47/4.09 % (1611324)Time elapsed: 0.086 s
% 16.47/4.09 % (1611324)Peak memory usage: 112 MB
% 16.47/4.09 % (1611324)Instructions burned: 129 (million)
% 16.47/4.09 % (1611322)Instruction limit reached!
% 16.47/4.09 % (1611322)------------------------------
% 16.47/4.09 % (1611322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.09 % (1611322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.09 % (1611322)CaDiCaL version: 2.1.3
% 16.47/4.09 % (1611322)Termination reason: Instruction limit
% 16.47/4.09 % (1611322)Termination phase: Preprocessing 1
% 16.47/4.09 % (1611322)Time elapsed: 0.100 s
% 16.47/4.09 % (1611322)Peak memory usage: 113 MB
% 16.47/4.09 % (1611322)Instructions burned: 119 (million)
% 16.47/4.09 % (1611332)lrs+10_1_sil=8000:sp=occurrence:random_seed=520565968:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 16.47/4.09 % (1611333)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3688277066:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 16.47/4.09 % (1611334)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4232302314:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 16.47/4.09 % (1611335)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=2915207219:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 16.47/4.09 % (1611333)Instruction limit reached!
% 16.47/4.13 % (1611333)------------------------------
% 16.47/4.13 % (1611333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611333)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611333)Termination reason: Instruction limit
% 16.47/4.13 % (1611333)Termination phase: Property scanning
% 16.47/4.13 % (1611333)Time elapsed: 0.069 s
% 16.47/4.13 % (1611333)Peak memory usage: 112 MB
% 16.47/4.13 % (1611333)Instructions burned: 158 (million)
% 16.47/4.13 % (1611335)Instruction limit reached!
% 16.47/4.13 % (1611335)------------------------------
% 16.47/4.13 % (1611335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611335)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611335)Termination reason: Instruction limit
% 16.47/4.13 % (1611335)Termination phase: Property scanning
% 16.47/4.13 % (1611335)Time elapsed: 0.106 s
% 16.47/4.13 % (1611335)Peak memory usage: 112 MB
% 16.47/4.13 % (1611335)Instructions burned: 250 (million)
% 16.47/4.13 % (1611332)Instruction limit reached!
% 16.47/4.13 % (1611332)------------------------------
% 16.47/4.13 % (1611332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611332)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611332)Termination reason: Instruction limit
% 16.47/4.13 % (1611332)Termination phase: Saturation
% 16.47/4.13 % (1611332)Time elapsed: 0.213 s
% 16.47/4.13 % (1611332)Peak memory usage: 120 MB
% 16.47/4.13 % (1611332)Instructions burned: 286 (million)
% 16.47/4.13 % (1611340)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2660001557:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 16.47/4.13 % (1611334)Instruction limit reached!
% 16.47/4.13 % (1611334)------------------------------
% 16.47/4.13 % (1611334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611334)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611334)Termination reason: Instruction limit
% 16.47/4.13 % (1611334)Termination phase: Saturation
% 16.47/4.13 % (1611334)Time elapsed: 0.252 s
% 16.47/4.13 % (1611334)Peak memory usage: 119 MB
% 16.47/4.13 % (1611334)Instructions burned: 325 (million)
% 16.47/4.13 % (1611341)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1949168909:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 16.47/4.13 % (1611342)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3791118160:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 16.47/4.13 % (1611340)Instruction limit reached!
% 16.47/4.13 % (1611340)------------------------------
% 16.47/4.13 % (1611340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611340)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611340)Termination reason: Instruction limit
% 16.47/4.13 % (1611340)Termination phase: Property scanning
% 16.47/4.13 % (1611340)Time elapsed: 0.200 s
% 16.47/4.13 % (1611340)Peak memory usage: 118 MB
% 16.47/4.13 % (1611340)Instructions burned: 294 (million)
% 16.47/4.13 % (1611344)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3163097442:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 16.47/4.13 % (1611342)Instruction limit reached!
% 16.47/4.13 % (1611342)------------------------------
% 16.47/4.13 % (1611342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611342)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611342)Termination reason: Instruction limit
% 16.47/4.13 % (1611342)Termination phase: SInE selection
% 16.47/4.13 % (1611342)Time elapsed: 0.093 s
% 16.47/4.13 % (1611342)Peak memory usage: 112 MB
% 16.47/4.13 % (1611342)Instructions burned: 113 (million)
% 16.47/4.13 % (1611344)Instruction limit reached!
% 16.47/4.13 % (1611344)------------------------------
% 16.47/4.13 % (1611344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611344)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611344)Termination reason: Instruction limit
% 16.47/4.13 % (1611344)Termination phase: Preprocessing 1
% 16.47/4.13 % (1611344)Time elapsed: 0.094 s
% 16.47/4.13 % (1611344)Peak memory usage: 113 MB
% 16.47/4.13 % (1611344)Instructions burned: 128 (million)
% 16.47/4.13 % (1611347)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2547987668:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 16.47/4.13 % (1611349)lrs+10_1_sil=8000:sp=occurrence:random_seed=4281173145:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 16.47/4.13 % (1611347)Instruction limit reached!
% 16.47/4.13 % (1611347)------------------------------
% 16.47/4.13 % (1611347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611347)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611347)Termination reason: Instruction limit
% 16.47/4.13 % (1611347)Termination phase: Property scanning
% 16.47/4.13 % (1611347)Time elapsed: 0.050 s
% 16.47/4.13 % (1611347)Peak memory usage: 112 MB
% 16.47/4.13 % (1611347)Instructions burned: 115 (million)
% 16.47/4.13 % (1611350)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2603561369:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 16.47/4.13 % (1611353)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3769033219:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 16.47/4.13 % (1611350)Instruction limit reached!
% 16.47/4.13 % (1611350)------------------------------
% 16.47/4.13 % (1611350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611350)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611350)Termination reason: Instruction limit
% 16.47/4.13 % (1611350)Termination phase: Saturation
% 16.47/4.13 % (1611350)Time elapsed: 0.309 s
% 16.47/4.13 % (1611350)Peak memory usage: 121 MB
% 16.47/4.13 % (1611350)Instructions burned: 437 (million)
% 16.47/4.13 % (1611356)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2532240782:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 16.47/4.13 % (1611349)Instruction limit reached!
% 16.47/4.13 % (1611349)------------------------------
% 16.47/4.13 % (1611349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611349)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611349)Termination reason: Instruction limit
% 16.47/4.13 % (1611349)Termination phase: Saturation
% 16.47/4.13 % (1611349)Time elapsed: 0.642 s
% 16.47/4.13 % (1611349)Peak memory usage: 129 MB
% 16.47/4.13 % (1611349)Instructions burned: 908 (million)
% 16.47/4.13 % (1611356)Instruction limit reached!
% 16.47/4.13 % (1611356)------------------------------
% 16.47/4.13 % (1611356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611356)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611356)Termination reason: Instruction limit
% 16.47/4.13 % (1611356)Termination phase: NewCNF
% 16.47/4.13 % (1611356)Time elapsed: 0.119 s
% 16.47/4.13 % (1611356)Peak memory usage: 115 MB
% 16.47/4.13 % (1611356)Instructions burned: 135 (million)
% 16.47/4.13 % (1611320)First to succeed.
% 16.47/4.13 % (1611320)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1611313"
% 16.47/4.13 % (1611358)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1802188698:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 16.47/4.13 % (1611359)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2931465875:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 16.47/4.13 % (1611341)Instruction limit reached!
% 16.47/4.13 % (1611341)------------------------------
% 16.47/4.13 % (1611341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/4.13 % (1611341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/4.13 % (1611341)CaDiCaL version: 2.1.3
% 16.47/4.13 % (1611341)Termination reason: Instruction limit
% 16.47/4.13 % (1611341)Termination phase: Property scanning
% 16.47/4.13 % (1611341)Time elapsed: 1.256 s
% 16.47/4.13 % (1611341)Peak memory usage: 171 MB
% 16.47/4.13 % (1611341)Instructions burned: 2352 (million)
% 16.47/4.13 % (1611362)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=3724737973:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 16.47/4.13 % (1611320)Refutation found. Thanks to Tanya!
% 16.47/4.13 % SZS status Theorem for theBenchmark
% 16.47/4.13 % SZS output start Proof for theBenchmark
% See solution above
% 17.08/4.33 % (1611320)------------------------------
% 17.08/4.33 % (1611320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.08/4.33 % (1611320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.08/4.33 % (1611320)CaDiCaL version: 2.1.3
% 17.08/4.33 % (1611320)Termination reason: Refutation
% 17.08/4.33 % (1611320)Time elapsed: 1.683 s
% 17.08/4.33 % (1611320)Peak memory usage: 178 MB
% 17.08/4.33 % (1611320)Instructions burned: 2694 (million)
% 17.08/4.33 % (1611320)------------------------------
% 17.08/4.33 % (1611320)------------------------------
% 17.08/4.33 % (1611313)Success in time 3.289 s
% 17.08/4.33 % Vampire exiting
%------------------------------------------------------------------------------