%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU449+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:49:10 PM UTC 2026
% Result : Theorem 14.78s 4.08s
% Output : Refutation 18.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 89 ( 14 unt; 7 def)
% Number of atoms : 233 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 253 ( 109 ~; 105 |; 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/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f1179,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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f4465,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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f4533,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/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f4535,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/sandbox2/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f4536,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)],[f4535]) ).
fof(f4572,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,[],[f4465]) ).
fof(f4573,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,[],[f4572]) ).
fof(f4650,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,[],[f4533]) ).
fof(f4652,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,[],[f4536]) ).
fof(f4656,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,[],[f1179]) ).
fof(f5274,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f5299,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,[],[f4650]) ).
fof(f5301,plain,
( ( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) )
& m2_relset_1(sK12,sK8,sK9)
& m1_subset_1(sK11,k1_zfmisc_1(sK9))
& m1_subset_1(sK10,k1_zfmisc_1(sK8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12)],[f4652]) ).
fof(f5330,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,[],[f1181]) ).
fof(f5394,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(f5395,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,[],[f5394]) ).
fof(f5550,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,[],[f4573]) ).
fof(f5649,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,[],[f5299]) ).
fof(f5650,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,[],[f5299]) ).
fof(f5653,plain,
m1_subset_1(sK10,k1_zfmisc_1(sK8)),
inference(cnf_transformation,[],[f5301]) ).
fof(f5654,plain,
m1_subset_1(sK11,k1_zfmisc_1(sK9)),
inference(cnf_transformation,[],[f5301]) ).
fof(f5655,plain,
m2_relset_1(sK12,sK8,sK9),
inference(cnf_transformation,[],[f5301]) ).
fof(f5656,plain,
( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) ),
inference(cnf_transformation,[],[f5301]) ).
fof(f5664,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,[],[f4656]) ).
fof(f5751,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5330]) ).
fof(f6103,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f5395]) ).
fof(f6620,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5274]) ).
fof(f6867,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f6103]) ).
fof(f7168,definition,
( spl300_1
<=> m2_relset_1(sK12,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl300_1])],[avatar_definition]) ).
fof(f7170,plain,
( m2_relset_1(sK12,sK8,sK9)
| ~ spl300_1 ),
inference(avatar_component_clause,[],[f7168]) ).
fof(f7171,plain,
spl300_1,
inference(avatar_split_clause,[],[f5655,f7168]) ).
fof(f7203,plain,
( m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl300_1 ),
inference(resolution,[],[f7170,f5664]) ).
fof(f7204,plain,
( m1_relset_1(sK12,sK8,sK9)
| ~ spl300_1 ),
inference(resolution,[],[f7170,f5751]) ).
fof(f7262,definition,
( spl300_2
<=> r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) ),
introduced(definition,[new_symbols(definition,[spl300_2])],[avatar_definition]) ).
fof(f7264,plain,
( ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12))
| spl300_2 ),
inference(avatar_component_clause,[],[f7262]) ).
fof(f7266,definition,
( spl300_3
<=> r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12))) ),
introduced(definition,[new_symbols(definition,[spl300_3])],[avatar_definition]) ).
fof(f7268,plain,
( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| spl300_3 ),
inference(avatar_component_clause,[],[f7266]) ).
fof(f7269,plain,
( ~ spl300_2
| ~ spl300_3 ),
inference(avatar_split_clause,[],[f5656,f7266,f7262]) ).
fof(f7270,plain,
( ~ r1_tarski(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)))
| ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl300_2 ),
inference(resolution,[],[f7264,f5649]) ).
fof(f7307,plain,
( ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl300_2 ),
inference(forward_subsumption_resolution,[],[f7270,f6867]) ).
fof(f7308,plain,
( ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| ~ spl300_1
| spl300_2 ),
inference(forward_subsumption_resolution,[],[f7307,f7170]) ).
fof(f7309,plain,
( ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| ~ spl300_1
| spl300_2 ),
inference(forward_subsumption_resolution,[],[f7308,f5654]) ).
fof(f7311,definition,
( spl300_4
<=> m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8)) ),
introduced(definition,[new_symbols(definition,[spl300_4])],[avatar_definition]) ).
fof(f7313,plain,
( ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl300_4 ),
inference(avatar_component_clause,[],[f7311]) ).
fof(f7314,plain,
( ~ spl300_4
| ~ spl300_1
| spl300_2 ),
inference(avatar_split_clause,[],[f7309,f7262,f7168,f7311]) ).
fof(f7315,plain,
( ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl300_4 ),
inference(resolution,[],[f7313,f5550]) ).
fof(f7326,plain,
( ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl300_4 ),
inference(forward_subsumption_resolution,[],[f7315,f5654]) ).
fof(f7350,definition,
( spl300_7
<=> m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8))) ),
introduced(definition,[new_symbols(definition,[spl300_7])],[avatar_definition]) ).
fof(f7352,plain,
( ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl300_7 ),
inference(avatar_component_clause,[],[f7350]) ).
fof(f7353,plain,
( ~ spl300_7
| spl300_4 ),
inference(avatar_split_clause,[],[f7326,f7311,f7350]) ).
fof(f7396,plain,
( ~ r1_tarski(k8_relset_2(sK8,sK9,sK10,sK12),k8_relset_2(sK8,sK9,sK10,sK12))
| ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| spl300_3 ),
inference(resolution,[],[f7268,f5650]) ).
fof(f7435,plain,
( ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| spl300_3 ),
inference(forward_subsumption_resolution,[],[f7396,f6867]) ).
fof(f7436,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ spl300_1
| spl300_3 ),
inference(forward_subsumption_resolution,[],[f7435,f7170]) ).
fof(f7437,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ spl300_1
| spl300_3 ),
inference(forward_subsumption_resolution,[],[f7436,f5653]) ).
fof(f7439,definition,
( spl300_9
<=> m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9)) ),
introduced(definition,[new_symbols(definition,[spl300_9])],[avatar_definition]) ).
fof(f7441,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| spl300_9 ),
inference(avatar_component_clause,[],[f7439]) ).
fof(f7442,plain,
( ~ spl300_9
| ~ spl300_1
| spl300_3 ),
inference(avatar_split_clause,[],[f7437,f7266,f7168,f7439]) ).
fof(f7443,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl300_9 ),
inference(resolution,[],[f7441,f5550]) ).
fof(f7452,plain,
( ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl300_9 ),
inference(forward_subsumption_resolution,[],[f7443,f5653]) ).
fof(f7453,plain,
( $false
| ~ spl300_1
| spl300_9 ),
inference(forward_subsumption_resolution,[],[f7452,f7203]) ).
fof(f7454,plain,
( ~ spl300_1
| spl300_9 ),
inference(avatar_contradiction_clause,[],[f7453]) ).
fof(f8013,definition,
( spl300_11
<=> m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl300_11])],[avatar_definition]) ).
fof(f8014,plain,
( m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8)
| ~ spl300_11 ),
inference(avatar_component_clause,[],[f8013]) ).
fof(f8015,plain,
( ~ m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8)
| spl300_11 ),
inference(avatar_component_clause,[],[f8013]) ).
fof(f8021,plain,
( ~ m1_relset_1(sK12,sK8,sK9)
| spl300_11 ),
inference(resolution,[],[f8015,f6620]) ).
fof(f8042,plain,
( $false
| ~ spl300_1
| spl300_11 ),
inference(forward_subsumption_resolution,[],[f8021,f7204]) ).
fof(f8043,plain,
( ~ spl300_1
| spl300_11 ),
inference(avatar_contradiction_clause,[],[f8042]) ).
fof(f8206,plain,
( m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| ~ spl300_11 ),
inference(resolution,[],[f8014,f5664]) ).
fof(f8266,plain,
( $false
| spl300_7
| ~ spl300_11 ),
inference(forward_subsumption_resolution,[],[f8206,f7352]) ).
fof(f8267,plain,
( spl300_7
| ~ spl300_11 ),
inference(avatar_contradiction_clause,[],[f8266]) ).
cnf(s1,plain,
spl300_1,
inference(sat_conversion,[],[f7171]) ).
cnf(s2,plain,
( ~ spl300_2
| ~ spl300_3 ),
inference(sat_conversion,[],[f7269]) ).
cnf(s3,plain,
( ~ spl300_1
| spl300_2
| ~ spl300_4 ),
inference(sat_conversion,[],[f7314]) ).
cnf(s6,plain,
( spl300_4
| ~ spl300_7 ),
inference(sat_conversion,[],[f7353]) ).
cnf(s8,plain,
( ~ spl300_1
| spl300_3
| ~ spl300_9 ),
inference(sat_conversion,[],[f7442]) ).
cnf(s9,plain,
( ~ spl300_1
| spl300_9 ),
inference(sat_conversion,[],[f7454]) ).
cnf(s13,plain,
( ~ spl300_1
| spl300_11 ),
inference(sat_conversion,[],[f8043]) ).
cnf(s15,plain,
( spl300_7
| ~ spl300_11 ),
inference(sat_conversion,[],[f8267]) ).
cnf(s16,plain,
spl300_11,
inference(rat,[],[s13,s1]) ).
cnf(s17,plain,
spl300_9,
inference(rat,[],[s9,s1]) ).
cnf(s18,plain,
spl300_3,
inference(rat,[],[s8,s17,s1]) ).
cnf(s19,plain,
spl300_7,
inference(rat,[],[s15,s16]) ).
cnf(s22,plain,
~ spl300_2,
inference(rat,[],[s2,s18]) ).
cnf(s23,plain,
spl300_4,
inference(rat,[],[s6,s19]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s3,s1,s23,s22]) ).
fof(f8276,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU449+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n002.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 28 05:39:07 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.78/4.08 % (53334)Detected formulas, will run a generic FOF schedule.
% 14.78/4.08 % (53345)dis-21_1_sil=8000:lcm=predicate:random_seed=1835266659:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 14.78/4.08 % (53339)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=2994149303:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 14.78/4.08 % (53340)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=1335105932:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 14.78/4.08 % (53343)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4159822621:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 14.78/4.08 % (53342)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1093292474:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 14.78/4.08 % (53341)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=473964826:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 14.78/4.08 % (53344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1932322139:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 14.78/4.08 % (53345)Instruction limit reached!
% 14.78/4.08 % (53345)------------------------------
% 14.78/4.08 % (53345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53345)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53345)Termination reason: Instruction limit
% 14.78/4.08 % (53345)Termination phase: Preprocessing 3
% 14.78/4.08 % (53345)Time elapsed: 0.088 s
% 14.78/4.08 % (53345)Peak memory usage: 94 MB
% 14.78/4.08 % (53345)Instructions burned: 130 (million)
% 14.78/4.08 % (53342)Instruction limit reached!
% 14.78/4.08 % (53342)------------------------------
% 14.78/4.08 % (53342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53342)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53342)Termination reason: Instruction limit
% 14.78/4.08 % (53342)Termination phase: Saturation
% 14.78/4.08 % (53342)Time elapsed: 0.112 s
% 14.78/4.08 % (53342)Peak memory usage: 93 MB
% 14.78/4.08 % (53342)Instructions burned: 109 (million)
% 14.78/4.08 % (53343)Instruction limit reached!
% 14.78/4.08 % (53343)------------------------------
% 14.78/4.08 % (53343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53343)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53343)Termination reason: Instruction limit
% 14.78/4.08 % (53343)Termination phase: Saturation
% 14.78/4.08 % (53343)Time elapsed: 0.130 s
% 14.78/4.08 % (53343)Peak memory usage: 94 MB
% 14.78/4.08 % (53343)Instructions burned: 119 (million)
% 14.78/4.08 % (53344)Instruction limit reached!
% 14.78/4.08 % (53344)------------------------------
% 14.78/4.08 % (53344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53344)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53344)Termination reason: Instruction limit
% 14.78/4.08 % (53344)Termination phase: Preprocessing 3
% 14.78/4.08 % (53344)Time elapsed: 0.161 s
% 14.78/4.08 % (53344)Peak memory usage: 94 MB
% 14.78/4.08 % (53344)Instructions burned: 139 (million)
% 14.78/4.08 % (53353)lrs+10_1_sil=8000:sp=occurrence:random_seed=2612782:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 14.78/4.08 % (53354)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1310747638:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 14.78/4.08 % (53355)lrs+1011_1_sil=32000:sp=occurrence:random_seed=164402105:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 14.78/4.08 % (53353)Instruction limit reached!
% 14.78/4.08 % (53353)------------------------------
% 14.78/4.08 % (53353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53353)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53353)Termination reason: Instruction limit
% 14.78/4.08 % (53353)Termination phase: Saturation
% 14.78/4.08 % (53353)Time elapsed: 0.175 s
% 14.78/4.08 % (53353)Peak memory usage: 98 MB
% 14.78/4.08 % (53353)Instructions burned: 286 (million)
% 14.78/4.08 % (53356)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=4208244591:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 14.78/4.08 % (53354)Instruction limit reached!
% 14.78/4.08 % (53354)------------------------------
% 14.78/4.08 % (53354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53354)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53354)Termination reason: Instruction limit
% 14.78/4.08 % (53354)Termination phase: Saturation
% 14.78/4.08 % (53354)Time elapsed: 0.155 s
% 14.78/4.08 % (53354)Peak memory usage: 94 MB
% 14.78/4.08 % (53354)Instructions burned: 157 (million)
% 14.78/4.08 % (53360)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2532008525:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 14.78/4.08 % (53356)Instruction limit reached!
% 14.78/4.08 % (53356)------------------------------
% 14.78/4.08 % (53356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53356)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53356)Termination reason: Instruction limit
% 14.78/4.08 % (53356)Termination phase: Property scanning
% 14.78/4.08 % (53356)Time elapsed: 0.252 s
% 14.78/4.08 % (53356)Peak memory usage: 99 MB
% 14.78/4.08 % (53356)Instructions burned: 248 (million)
% 14.78/4.08 % (53355)Instruction limit reached!
% 14.78/4.08 % (53355)------------------------------
% 14.78/4.08 % (53355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53355)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53355)Termination reason: Instruction limit
% 14.78/4.08 % (53355)Termination phase: Saturation
% 14.78/4.08 % (53355)Time elapsed: 0.365 s
% 14.78/4.08 % (53355)Peak memory usage: 97 MB
% 14.78/4.08 % (53355)Instructions burned: 325 (million)
% 14.78/4.08 % (53360)Instruction limit reached!
% 14.78/4.08 % (53360)------------------------------
% 14.78/4.08 % (53360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53360)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53360)Termination reason: Instruction limit
% 14.78/4.08 % (53360)Termination phase: Saturation
% 14.78/4.08 % (53360)Time elapsed: 0.168 s
% 14.78/4.08 % (53360)Peak memory usage: 97 MB
% 14.78/4.08 % (53360)Instructions burned: 294 (million)
% 14.78/4.08 % (53362)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2842660461:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 14.78/4.08 % (53364)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=113055368:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 14.78/4.08 % (53366)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2250426932:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 14.78/4.08 % (53365)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1556887822:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 14.78/4.08 % (53366)Instruction limit reached!
% 14.78/4.08 % (53366)------------------------------
% 14.78/4.08 % (53366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53366)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53366)Termination reason: Instruction limit
% 14.78/4.08 % (53366)Termination phase: SInE selection
% 14.78/4.08 % (53366)Time elapsed: 0.056 s
% 14.78/4.08 % (53366)Peak memory usage: 89 MB
% 14.78/4.08 % (53366)Instructions burned: 114 (million)
% 14.78/4.08 % (53364)Instruction limit reached!
% 14.78/4.08 % (53364)------------------------------
% 14.78/4.08 % (53364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53364)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53364)Termination reason: Instruction limit
% 14.78/4.08 % (53364)Termination phase: Saturation
% 14.78/4.08 % (53364)Time elapsed: 0.119 s
% 14.78/4.08 % (53364)Peak memory usage: 94 MB
% 14.78/4.08 % (53364)Instructions burned: 114 (million)
% 14.78/4.08 % (53365)Instruction limit reached!
% 14.78/4.08 % (53365)------------------------------
% 14.78/4.08 % (53365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53365)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53365)Termination reason: Instruction limit
% 14.78/4.08 % (53365)Termination phase: Preprocessing 3
% 14.78/4.08 % (53365)Time elapsed: 0.142 s
% 14.78/4.08 % (53365)Peak memory usage: 96 MB
% 14.78/4.08 % (53365)Instructions burned: 128 (million)
% 14.78/4.08 % (53371)lrs+10_1_sil=8000:sp=occurrence:random_seed=2463292532:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 14.78/4.08 % (53372)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3345457518:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 14.78/4.08 % (53373)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1884540916:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 14.78/4.08 % (53341)First to succeed.
% 14.78/4.08 % (53341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-53334"
% 14.78/4.08 % (53372)Instruction limit reached!
% 14.78/4.08 % (53372)------------------------------
% 14.78/4.08 % (53372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.78/4.08 % (53372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.78/4.08 % (53372)CaDiCaL version: 2.1.3
% 14.78/4.08 % (53372)Termination reason: Instruction limit
% 14.78/4.08 % (53372)Termination phase: Saturation
% 14.78/4.08 % (53372)Time elapsed: 0.462 s
% 14.78/4.08 % (53372)Peak memory usage: 98 MB
% 14.78/4.08 % (53372)Instructions burned: 437 (million)
% 14.78/4.08 % (53341)Refutation found. Thanks to Tanya!
% 14.78/4.08 % SZS status Theorem for theBenchmark
% 14.78/4.08 % SZS output start Proof for theBenchmark
% See solution above
% 18.35/4.28 % (53341)------------------------------
% 18.35/4.28 % (53341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.35/4.28 % (53341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/4.28 % (53341)CaDiCaL version: 2.1.3
% 18.35/4.28 % (53341)Termination reason: Refutation
% 18.35/4.28 % (53341)Time elapsed: 1.635 s
% 18.35/4.28 % (53341)Peak memory usage: 144 MB
% 18.35/4.28 % (53341)Instructions burned: 1512 (million)
% 18.35/4.28 % (53341)------------------------------
% 18.35/4.28 % (53341)------------------------------
% 18.35/4.28 % (53334)Success in time 2.781 s
% 18.35/4.28 % Vampire exiting
%------------------------------------------------------------------------------