%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU449+4 : 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 : 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 12:49:11 PM UTC 2026
% Result : Theorem 16.93s 9.62s
% Output : Refutation 28.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 14 unt; 7 def)
% Number of atoms : 228 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 248 ( 107 ~; 102 |; 16 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 92 ( 0 sgn 87 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f1481,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1483,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1498,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f71075,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f71143,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f71145,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f71146,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f71145]) ).
fof(f71228,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f71075]) ).
fof(f71229,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f71228]) ).
fof(f71306,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71143]) ).
fof(f71308,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71146]) ).
fof(f71409,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1481]) ).
fof(f72322,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1498]) ).
fof(f72351,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f71306]) ).
fof(f72353,plain,
( ( ~ r1_tarski(sK12,k8_relset_2(sK11,sK10,k8_relset_2(sK10,sK11,sK12,sK14),k6_relset_1(sK10,sK11,sK14)))
| ~ r1_tarski(sK13,k8_relset_2(sK10,sK11,k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),sK14)) )
& m2_relset_1(sK14,sK10,sK11)
& m1_subset_1(sK13,k1_zfmisc_1(sK11))
& m1_subset_1(sK12,k1_zfmisc_1(sK10)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14)],[f71308]) ).
fof(f72379,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1483]) ).
fof(f72511,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f72512,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f72511]) ).
fof(f72745,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f71229]) ).
fof(f72844,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72351]) ).
fof(f72845,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72351]) ).
fof(f72848,plain,
m1_subset_1(sK12,k1_zfmisc_1(sK10)),
inference(cnf_transformation,[],[f72353]) ).
fof(f72849,plain,
m1_subset_1(sK13,k1_zfmisc_1(sK11)),
inference(cnf_transformation,[],[f72353]) ).
fof(f72850,plain,
m2_relset_1(sK14,sK10,sK11),
inference(cnf_transformation,[],[f72353]) ).
fof(f72851,plain,
( ~ r1_tarski(sK12,k8_relset_2(sK11,sK10,k8_relset_2(sK10,sK11,sK12,sK14),k6_relset_1(sK10,sK11,sK14)))
| ~ r1_tarski(sK13,k8_relset_2(sK10,sK11,k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),sK14)) ),
inference(cnf_transformation,[],[f72353]) ).
fof(f72999,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72379]) ).
fof(f73014,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f71409]) ).
fof(f73623,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f72512]) ).
fof(f74428,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72322]) ).
fof(f75159,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f73623]) ).
fof(f75796,definition,
( spl544_1
<=> m2_relset_1(sK14,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl544_1])],[avatar_definition]) ).
fof(f75798,plain,
( m2_relset_1(sK14,sK10,sK11)
| ~ spl544_1 ),
inference(avatar_component_clause,[],[f75796]) ).
fof(f75799,plain,
spl544_1,
inference(avatar_split_clause,[],[f72850,f75796]) ).
fof(f75831,plain,
( m1_relset_1(sK14,sK10,sK11)
| ~ spl544_1 ),
inference(resolution,[],[f75798,f72999]) ).
fof(f75832,plain,
( m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| ~ spl544_1 ),
inference(resolution,[],[f75798,f73014]) ).
fof(f75958,definition,
( spl544_2
<=> r1_tarski(sK13,k8_relset_2(sK10,sK11,k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),sK14)) ),
introduced(definition,[new_symbols(definition,[spl544_2])],[avatar_definition]) ).
fof(f75960,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK10,sK11,k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),sK14))
| spl544_2 ),
inference(avatar_component_clause,[],[f75958]) ).
fof(f75962,definition,
( spl544_3
<=> r1_tarski(sK12,k8_relset_2(sK11,sK10,k8_relset_2(sK10,sK11,sK12,sK14),k6_relset_1(sK10,sK11,sK14))) ),
introduced(definition,[new_symbols(definition,[spl544_3])],[avatar_definition]) ).
fof(f75964,plain,
( ~ r1_tarski(sK12,k8_relset_2(sK11,sK10,k8_relset_2(sK10,sK11,sK12,sK14),k6_relset_1(sK10,sK11,sK14)))
| spl544_3 ),
inference(avatar_component_clause,[],[f75962]) ).
fof(f75965,plain,
( ~ spl544_2
| ~ spl544_3 ),
inference(avatar_split_clause,[],[f72851,f75962,f75958]) ).
fof(f75966,plain,
( ~ r1_tarski(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)))
| ~ m2_relset_1(sK14,sK10,sK11)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sK11))
| ~ m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10))
| spl544_2 ),
inference(resolution,[],[f75960,f72844]) ).
fof(f76016,plain,
( ~ m2_relset_1(sK14,sK10,sK11)
| ~ m1_subset_1(sK13,k1_zfmisc_1(sK11))
| ~ m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10))
| spl544_2 ),
inference(forward_subsumption_resolution,[],[f75966,f75159]) ).
fof(f76017,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sK11))
| ~ m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10))
| ~ spl544_1
| spl544_2 ),
inference(forward_subsumption_resolution,[],[f76016,f75798]) ).
fof(f76018,plain,
( ~ m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10))
| ~ spl544_1
| spl544_2 ),
inference(forward_subsumption_resolution,[],[f76017,f72849]) ).
fof(f76020,definition,
( spl544_4
<=> m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10)) ),
introduced(definition,[new_symbols(definition,[spl544_4])],[avatar_definition]) ).
fof(f76022,plain,
( ~ m1_subset_1(k8_relset_2(sK11,sK10,sK13,k6_relset_1(sK10,sK11,sK14)),k1_zfmisc_1(sK10))
| spl544_4 ),
inference(avatar_component_clause,[],[f76020]) ).
fof(f76023,plain,
( ~ spl544_4
| ~ spl544_1
| spl544_2 ),
inference(avatar_split_clause,[],[f76018,f75958,f75796,f76020]) ).
fof(f76024,plain,
( ~ m1_subset_1(sK13,k1_zfmisc_1(sK11))
| ~ m1_subset_1(k6_relset_1(sK10,sK11,sK14),k1_zfmisc_1(k2_zfmisc_1(sK11,sK10)))
| spl544_4 ),
inference(resolution,[],[f76022,f72745]) ).
fof(f76035,plain,
( ~ m1_subset_1(k6_relset_1(sK10,sK11,sK14),k1_zfmisc_1(k2_zfmisc_1(sK11,sK10)))
| spl544_4 ),
inference(forward_subsumption_resolution,[],[f76024,f72849]) ).
fof(f76066,definition,
( spl544_7
<=> m1_subset_1(k6_relset_1(sK10,sK11,sK14),k1_zfmisc_1(k2_zfmisc_1(sK11,sK10))) ),
introduced(definition,[new_symbols(definition,[spl544_7])],[avatar_definition]) ).
fof(f76068,plain,
( ~ m1_subset_1(k6_relset_1(sK10,sK11,sK14),k1_zfmisc_1(k2_zfmisc_1(sK11,sK10)))
| spl544_7 ),
inference(avatar_component_clause,[],[f76066]) ).
fof(f76069,plain,
( ~ spl544_7
| spl544_4 ),
inference(avatar_split_clause,[],[f76035,f76020,f76066]) ).
fof(f76070,plain,
( ~ m2_relset_1(k6_relset_1(sK10,sK11,sK14),sK11,sK10)
| spl544_7 ),
inference(resolution,[],[f76068,f73014]) ).
fof(f76556,plain,
( ~ r1_tarski(k8_relset_2(sK10,sK11,sK12,sK14),k8_relset_2(sK10,sK11,sK12,sK14))
| ~ m2_relset_1(sK14,sK10,sK11)
| ~ m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11))
| ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| spl544_3 ),
inference(resolution,[],[f75964,f72845]) ).
fof(f76607,plain,
( ~ m2_relset_1(sK14,sK10,sK11)
| ~ m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11))
| ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| spl544_3 ),
inference(forward_subsumption_resolution,[],[f76556,f75159]) ).
fof(f76608,plain,
( ~ m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11))
| ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| ~ spl544_1
| spl544_3 ),
inference(forward_subsumption_resolution,[],[f76607,f75798]) ).
fof(f76609,plain,
( ~ m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11))
| ~ spl544_1
| spl544_3 ),
inference(forward_subsumption_resolution,[],[f76608,f72848]) ).
fof(f76611,definition,
( spl544_11
<=> m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11)) ),
introduced(definition,[new_symbols(definition,[spl544_11])],[avatar_definition]) ).
fof(f76613,plain,
( ~ m1_subset_1(k8_relset_2(sK10,sK11,sK12,sK14),k1_zfmisc_1(sK11))
| spl544_11 ),
inference(avatar_component_clause,[],[f76611]) ).
fof(f76614,plain,
( ~ spl544_11
| ~ spl544_1
| spl544_3 ),
inference(avatar_split_clause,[],[f76609,f75962,f75796,f76611]) ).
fof(f76615,plain,
( ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| ~ m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| spl544_11 ),
inference(resolution,[],[f76613,f72745]) ).
fof(f76624,plain,
( ~ m1_subset_1(sK14,k1_zfmisc_1(k2_zfmisc_1(sK10,sK11)))
| spl544_11 ),
inference(forward_subsumption_resolution,[],[f76615,f72848]) ).
fof(f76625,plain,
( $false
| ~ spl544_1
| spl544_11 ),
inference(forward_subsumption_resolution,[],[f76624,f75832]) ).
fof(f76626,plain,
( ~ spl544_1
| spl544_11 ),
inference(avatar_contradiction_clause,[],[f76625]) ).
fof(f78352,definition,
( spl544_16
<=> m2_relset_1(k6_relset_1(sK10,sK11,sK14),sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl544_16])],[avatar_definition]) ).
fof(f78354,plain,
( ~ m2_relset_1(k6_relset_1(sK10,sK11,sK14),sK11,sK10)
| spl544_16 ),
inference(avatar_component_clause,[],[f78352]) ).
fof(f78355,plain,
( ~ spl544_16
| spl544_7 ),
inference(avatar_split_clause,[],[f76070,f76066,f78352]) ).
fof(f78971,plain,
( ~ m1_relset_1(sK14,sK10,sK11)
| spl544_16 ),
inference(resolution,[],[f78354,f74428]) ).
fof(f78991,plain,
( $false
| ~ spl544_1
| spl544_16 ),
inference(forward_subsumption_resolution,[],[f78971,f75831]) ).
fof(f78992,plain,
( ~ spl544_1
| spl544_16 ),
inference(avatar_contradiction_clause,[],[f78991]) ).
cnf(s1,plain,
spl544_1,
inference(sat_conversion,[],[f75799]) ).
cnf(s2,plain,
( ~ spl544_2
| ~ spl544_3 ),
inference(sat_conversion,[],[f75965]) ).
cnf(s3,plain,
( ~ spl544_1
| spl544_2
| ~ spl544_4 ),
inference(sat_conversion,[],[f76023]) ).
cnf(s6,plain,
( spl544_4
| ~ spl544_7 ),
inference(sat_conversion,[],[f76069]) ).
cnf(s10,plain,
( ~ spl544_1
| spl544_3
| ~ spl544_11 ),
inference(sat_conversion,[],[f76614]) ).
cnf(s11,plain,
( ~ spl544_1
| spl544_11 ),
inference(sat_conversion,[],[f76626]) ).
cnf(s17,plain,
( spl544_7
| ~ spl544_16 ),
inference(sat_conversion,[],[f78355]) ).
cnf(s23,plain,
( ~ spl544_1
| spl544_16 ),
inference(sat_conversion,[],[f78992]) ).
cnf(s24,plain,
spl544_16,
inference(rat,[],[s23,s1]) ).
cnf(s26,plain,
spl544_11,
inference(rat,[],[s11,s1]) ).
cnf(s27,plain,
spl544_3,
inference(rat,[],[s10,s26,s1]) ).
cnf(s28,plain,
spl544_7,
inference(rat,[],[s17,s24]) ).
cnf(s33,plain,
~ spl544_2,
inference(rat,[],[s2,s27]) ).
cnf(s34,plain,
spl544_4,
inference(rat,[],[s6,s28]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s3,s1,s34,s33]) ).
fof(f78993,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU449+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:39:43 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 17.35/8.13 % (3533215)Detected formulas, will run a generic FOF schedule.
% 17.35/8.13 % (3536228)dis-21_1_sil=8000:lcm=predicate:random_seed=254756494:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 17.35/8.13 % (3536208)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=190607095:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 17.35/8.13 % (3536206)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=1343571479:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 17.35/8.13 % (3536212)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=1482470793:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 17.35/8.13 % (3536224)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1307706070:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 17.35/8.13 % (3536215)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3553123851:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 17.35/8.13 % (3536220)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=101602926:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 17.35/8.13 % (3536228)Instruction limit reached!
% 17.35/8.13 % (3536228)------------------------------
% 17.35/8.13 % (3536228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/8.13 % (3536228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/8.13 % (3536228)CaDiCaL version: 2.1.3
% 17.35/8.13 % (3536228)Termination reason: Instruction limit
% 17.35/8.13 % (3536228)Termination phase: SInE selection
% 17.35/8.13 % (3536228)Time elapsed: 0.059 s
% 17.35/8.13 % (3536228)Peak memory usage: 201 MB
% 17.35/8.13 % (3536228)Instructions burned: 131 (million)
% 17.35/8.13 % (3536224)Instruction limit reached!
% 17.35/8.13 % (3536224)------------------------------
% 17.35/8.13 % (3536224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/8.13 % (3536224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/8.13 % (3536224)CaDiCaL version: 2.1.3
% 17.35/8.13 % (3536224)Termination reason: Instruction limit
% 17.35/8.13 % (3536224)Termination phase: Property scanning
% 17.35/8.13 % (3536224)Time elapsed: 0.068 s
% 17.35/8.13 % (3536224)Peak memory usage: 201 MB
% 17.35/8.13 % (3536224)Instructions burned: 141 (million)
% 17.35/8.13 % (3536215)Instruction limit reached!
% 17.35/8.13 % (3536215)------------------------------
% 17.35/8.13 % (3536215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/8.13 % (3536215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/8.13 % (3536215)CaDiCaL version: 2.1.3
% 17.35/8.13 % (3536215)Termination reason: Instruction limit
% 17.35/8.13 % (3536215)Termination phase: SInE selection
% 17.35/8.13 % (3536215)Time elapsed: 0.084 s
% 17.35/8.13 % (3536215)Peak memory usage: 201 MB
% 17.35/8.13 % (3536215)Instructions burned: 109 (million)
% 17.35/8.13 % (3536220)Instruction limit reached!
% 17.35/8.13 % (3536220)------------------------------
% 17.35/8.13 % (3536220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/8.13 % (3536220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/8.13 % (3536220)CaDiCaL version: 2.1.3
% 17.35/8.13 % (3536220)Termination reason: Instruction limit
% 17.35/8.13 % (3536220)Termination phase: SInE selection
% 17.35/8.13 % (3536220)Time elapsed: 0.097 s
% 17.35/8.13 % (3536220)Peak memory usage: 201 MB
% 17.35/8.13 % (3536220)Instructions burned: 120 (million)
% 17.35/8.13 % (3536315)lrs+10_1_sil=8000:sp=occurrence:random_seed=449773876:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 17.35/8.13 % (3536342)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2339011716:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/157Mi)
% 17.35/8.13 % (3536351)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1987366060:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 17.35/8.13 % (3536364)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=3689639943:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 17.35/8.13 % (3536315)Instruction limit reached!
% 25.18/9.18 % (3536315)------------------------------
% 25.18/9.18 % (3536315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536315)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536315)Termination reason: Instruction limit
% 25.18/9.18 % (3536315)Termination phase: SInE selection
% 25.18/9.18 % (3536315)Time elapsed: 0.127 s
% 25.18/9.18 % (3536315)Peak memory usage: 201 MB
% 25.18/9.18 % (3536315)Instructions burned: 288 (million)
% 25.18/9.18 % (3536342)Instruction limit reached!
% 25.18/9.18 % (3536342)------------------------------
% 25.18/9.18 % (3536342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536342)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536342)Termination reason: Instruction limit
% 25.18/9.18 % (3536342)Termination phase: Property scanning
% 25.18/9.18 % (3536342)Time elapsed: 0.076 s
% 25.18/9.18 % (3536342)Peak memory usage: 201 MB
% 25.18/9.18 % (3536342)Instructions burned: 157 (million)
% 25.18/9.18 % (3536443)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2536390973:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 25.18/9.18 % (3536364)Instruction limit reached!
% 25.18/9.18 % (3536364)------------------------------
% 25.18/9.18 % (3536364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536364)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536364)Termination reason: Instruction limit
% 25.18/9.18 % (3536364)Termination phase: Property scanning
% 25.18/9.18 % (3536364)Time elapsed: 0.115 s
% 25.18/9.18 % (3536364)Peak memory usage: 201 MB
% 25.18/9.18 % (3536364)Instructions burned: 248 (million)
% 25.18/9.18 % (3536463)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2940775556:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 25.18/9.18 % (3536443)Instruction limit reached!
% 25.18/9.18 % (3536443)------------------------------
% 25.18/9.18 % (3536443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536443)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536443)Termination reason: Instruction limit
% 25.18/9.18 % (3536443)Termination phase: SInE selection
% 25.18/9.18 % (3536443)Time elapsed: 0.128 s
% 25.18/9.18 % (3536443)Peak memory usage: 201 MB
% 25.18/9.18 % (3536443)Instructions burned: 296 (million)
% 25.18/9.18 % (3536351)Instruction limit reached!
% 25.18/9.18 % (3536351)------------------------------
% 25.18/9.18 % (3536351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536351)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536351)Termination reason: Instruction limit
% 25.18/9.18 % (3536351)Termination phase: SInE selection
% 25.18/9.18 % (3536351)Time elapsed: 0.258 s
% 25.18/9.18 % (3536351)Peak memory usage: 201 MB
% 25.18/9.18 % (3536351)Instructions burned: 325 (million)
% 25.18/9.18 % (3536507)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2689666612:cts=off:i=113:fsr=off:ss=included:sgt=4_2939 on theBenchmark for (2939ds/113Mi)
% 25.18/9.18 % (3536568)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3670191829:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 25.18/9.18 % (3536507)Instruction limit reached!
% 25.18/9.18 % (3536507)------------------------------
% 25.18/9.18 % (3536507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536507)CaDiCaL version: 2.1.3
% 25.18/9.18 % (3536507)Termination reason: Instruction limit
% 25.18/9.18 % (3536507)Termination phase: SInE selection
% 25.18/9.18 % (3536507)Time elapsed: 0.089 s
% 25.18/9.18 % (3536507)Peak memory usage: 201 MB
% 25.18/9.18 % (3536507)Instructions burned: 113 (million)
% 25.18/9.18 % (3536568)Instruction limit reached!
% 25.18/9.18 % (3536568)------------------------------
% 25.18/9.18 % (3536568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.18/9.18 % (3536568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.18/9.18 % (3536568)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536568)Termination reason: Instruction limit
% 16.93/9.62 % (3536568)Termination phase: Preprocessing 1
% 16.93/9.62 % (3536568)Time elapsed: 0.060 s
% 16.93/9.62 % (3536568)Peak memory usage: 202 MB
% 16.93/9.62 % (3536568)Instructions burned: 127 (million)
% 16.93/9.62 % (3536581)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1247781042:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 16.93/9.62 % (3536581)Instruction limit reached!
% 16.93/9.62 % (3536581)------------------------------
% 16.93/9.62 % (3536581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536581)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536581)Termination reason: Instruction limit
% 16.93/9.62 % (3536581)Termination phase: Property scanning
% 16.93/9.62 % (3536581)Time elapsed: 0.059 s
% 16.93/9.62 % (3536581)Peak memory usage: 201 MB
% 16.93/9.62 % (3536581)Instructions burned: 114 (million)
% 16.93/9.62 % (3536634)lrs+10_1_sil=8000:sp=occurrence:random_seed=1420900241:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 16.93/9.62 % (3536659)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=710565294:i=437:sd=1:aac=none:ss=included_2936 on theBenchmark for (2936ds/437Mi)
% 16.93/9.62 % (3536700)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1174101276:i=5202:ss=axioms:sgt=16_2935 on theBenchmark for (2935ds/5202Mi)
% 16.93/9.62 % (3536659)Instruction limit reached!
% 16.93/9.62 % (3536659)------------------------------
% 16.93/9.62 % (3536659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536659)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536659)Termination reason: Instruction limit
% 16.93/9.62 % (3536659)Termination phase: SInE selection
% 16.93/9.62 % (3536659)Time elapsed: 0.185 s
% 16.93/9.62 % (3536659)Peak memory usage: 202 MB
% 16.93/9.62 % (3536659)Instructions burned: 439 (million)
% 16.93/9.62 % (3536814)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3856188406:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2933 on theBenchmark for (2933ds/134Mi)
% 16.93/9.62 % (3536814)Instruction limit reached!
% 16.93/9.62 % (3536814)------------------------------
% 16.93/9.62 % (3536814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536814)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536814)Termination reason: Instruction limit
% 16.93/9.62 % (3536814)Termination phase: SInE selection
% 16.93/9.62 % (3536814)Time elapsed: 0.059 s
% 16.93/9.62 % (3536814)Peak memory usage: 201 MB
% 16.93/9.62 % (3536814)Instructions burned: 135 (million)
% 16.93/9.62 % (3536899)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2211071160:st=8:i=592:sd=3:ep=RST:ss=axioms_2931 on theBenchmark for (2931ds/592Mi)
% 16.93/9.62 % (3536634)Instruction limit reached!
% 16.93/9.62 % (3536634)------------------------------
% 16.93/9.62 % (3536634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536634)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536634)Termination reason: Instruction limit
% 16.93/9.62 % (3536634)Termination phase: Preprocessing 1
% 16.93/9.62 % (3536634)Time elapsed: 0.661 s
% 16.93/9.62 % (3536634)Peak memory usage: 204 MB
% 16.93/9.62 % (3536634)Instructions burned: 907 (million)
% 16.93/9.62 % (3536899)Instruction limit reached!
% 16.93/9.62 % (3536899)------------------------------
% 16.93/9.62 % (3536899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536899)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536899)Termination reason: Instruction limit
% 16.93/9.62 % (3536899)Termination phase: SInE selection
% 16.93/9.62 % (3536899)Time elapsed: 0.219 s
% 16.93/9.62 % (3536899)Peak memory usage: 202 MB
% 16.93/9.62 % (3536899)Instructions burned: 594 (million)
% 16.93/9.62 % (3537074)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=467724340:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2928 on theBenchmark for (2928ds/125Mi)
% 16.93/9.62 % (3537069)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4105101441:st=3:i=13193:sd=3:ss=axioms_2928 on theBenchmark for (2928ds/13193Mi)
% 16.93/9.62 % (3537074)Instruction limit reached!
% 16.93/9.62 % (3537074)------------------------------
% 16.93/9.62 % (3537074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3537074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3537074)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3537074)Termination reason: Instruction limit
% 16.93/9.62 % (3537074)Termination phase: Property scanning
% 16.93/9.62 % (3537074)Time elapsed: 0.035 s
% 16.93/9.62 % (3537074)Peak memory usage: 201 MB
% 16.93/9.62 % (3537074)Instructions burned: 127 (million)
% 16.93/9.62 % (3537147)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2524066898:i=134:gtgl=5:slsql=off:gtg=exists_sym_2927 on theBenchmark for (2927ds/134Mi)
% 16.93/9.62 % (3537147)Instruction limit reached!
% 16.93/9.62 % (3537147)------------------------------
% 16.93/9.62 % (3537147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3537147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3537147)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3537147)Termination reason: Instruction limit
% 16.93/9.62 % (3537147)Termination phase: Property scanning
% 16.93/9.62 % (3537147)Time elapsed: 0.038 s
% 16.93/9.62 % (3537147)Peak memory usage: 201 MB
% 16.93/9.62 % (3537147)Instructions burned: 137 (million)
% 16.93/9.62 % (3537238)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=199926634:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2925 on theBenchmark for (2925ds/141Mi)
% 16.93/9.62 % (3537238)Instruction limit reached!
% 16.93/9.62 % (3537238)------------------------------
% 16.93/9.62 % (3537238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3537238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3537238)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3537238)Termination reason: Instruction limit
% 16.93/9.62 % (3537238)Termination phase: SInE selection
% 16.93/9.62 % (3537238)Time elapsed: 0.064 s
% 16.93/9.62 % (3537238)Peak memory usage: 201 MB
% 16.93/9.62 % (3537238)Instructions burned: 143 (million)
% 16.93/9.62 % (3537327)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3651157824:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2923 on theBenchmark for (2923ds/431Mi)
% 16.93/9.62 % (3537327)Instruction limit reached!
% 16.93/9.62 % (3537327)------------------------------
% 16.93/9.62 % (3537327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3537327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3537327)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3537327)Termination reason: Instruction limit
% 16.93/9.62 % (3537327)Termination phase: SInE selection
% 16.93/9.62 % (3537327)Time elapsed: 0.182 s
% 16.93/9.62 % (3537327)Peak memory usage: 202 MB
% 16.93/9.62 % (3537327)Instructions burned: 432 (million)
% 16.93/9.62 % (3537477)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=609955766:i=6060:aac=none:ins=25_2921 on theBenchmark for (2921ds/6060Mi)
% 16.93/9.62 % (3536463)Instruction limit reached!
% 16.93/9.62 % (3536463)------------------------------
% 16.93/9.62 % (3536463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3536463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3536463)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3536463)Termination reason: Instruction limit
% 16.93/9.62 % (3536463)Termination phase: Preprocessing 3
% 16.93/9.62 % (3536463)Time elapsed: 1.881 s
% 16.93/9.62 % (3536463)Peak memory usage: 305 MB
% 16.93/9.62 % (3536463)Instructions burned: 2351 (million)
% 16.93/9.62 % (3537570)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3303039297:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2919 on theBenchmark for (2919ds/150Mi)
% 16.93/9.62 % (3537570)Instruction limit reached!
% 16.93/9.62 % (3537570)------------------------------
% 16.93/9.62 % (3537570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.93/9.62 % (3537570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.93/9.62 % (3537570)CaDiCaL version: 2.1.3
% 16.93/9.62 % (3537570)Termination reason: Instruction limit
% 16.93/9.62 % (3537570)Termination phase: SInE selection
% 16.93/9.62 % (3537570)Time elapsed: 0.116 s
% 16.93/9.62 % (3537570)Peak memory usage: 201 MB
% 16.93/9.62 % (3537570)Instructions burned: 151 (million)
% 16.93/9.62 % (3536212)First to succeed.
% 16.93/9.62 % (3536212)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3533215"
% 16.93/9.62 % (3537707)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3738261609:i=14155:bd=all_2916 on theBenchmark for (2916ds/14155Mi)
% 16.93/9.62 % (3536212)Refutation found. Thanks to Tanya!
% 16.93/9.62 % SZS status Theorem for theBenchmark
% 16.93/9.62 % SZS output start Proof for theBenchmark
% See solution above
% 28.57/9.75 % (3536212)------------------------------
% 28.57/9.75 % (3536212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.57/9.75 % (3536212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.57/9.75 % (3536212)CaDiCaL version: 2.1.3
% 28.57/9.75 % (3536212)Termination reason: Refutation
% 28.57/9.75 % (3536212)Time elapsed: 2.679 s
% 28.57/9.75 % (3536212)Peak memory usage: 304 MB
% 28.57/9.75 % (3536212)Instructions burned: 3840 (million)
% 28.57/9.75 % (3536212)------------------------------
% 28.57/9.75 % (3536212)------------------------------
% 28.57/9.75 % (3533215)Success in time 8.755 s
% 28.57/9.75 % Vampire exiting
%------------------------------------------------------------------------------