%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:53:22 PM UTC 2026
% Result : Theorem 0.40s 0.49s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 19 unt; 5 def)
% Number of atoms : 203 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 177 ( 62 ~; 88 |; 6 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 121 ( 1 sgn 116 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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)],[f1]) ).
fof(f43,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f48,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(f50,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(f51,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(f53,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(f56,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(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f43]) ).
fof(f64,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,[],[f2]) ).
fof(f92,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f96,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,[],[f51]) ).
fof(f97,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,[],[f96]) ).
fof(f98,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,[],[f53]) ).
fof(f99,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,[],[f56]) ).
fof(f100,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f101,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f102,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f153,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X0,X1)
| ~ 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))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X0,X1)
| 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))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f162,plain,
~ m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f163,plain,
~ m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f164,plain,
~ m2_relset_1(sK4,sK0,sK1),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f200,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| m1_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f205,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(consistent_polarity_flipping,[],[f155]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| m2_relset_1(X4,X0,X1)
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| m2_relset_1(X4,X0,X1)
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f212,definition,
( spl15_1
<=> r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f214,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| spl15_1 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f216,definition,
( spl15_2
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f218,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| spl15_2 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f100,f216,f212]) ).
fof(f278,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(resolution,[],[f200,f202]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X3,X1,k8_relset_2(X1,X3,X0,k6_relset_1(X3,X1,X2)),X2))
| m2_relset_1(X2,X3,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(k8_relset_2(X1,X3,X0,k6_relset_1(X3,X1,X2)),k1_zfmisc_1(X3)) ),
inference(resolution,[],[f209,f147]) ).
fof(f371,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| m2_relset_1(sK4,sK0,sK1)
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl15_1 ),
inference(resolution,[],[f210,f214]) ).
fof(f374,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f371,f164]) ).
fof(f375,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f374,f147]) ).
fof(f376,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f375,f162]) ).
fof(f377,plain,
( m1_subset_1(sK2,k1_zfmisc_1(sK0))
| m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl15_1 ),
inference(resolution,[],[f376,f205]) ).
fof(f380,plain,
( m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f377,f162]) ).
fof(f382,plain,
( m2_relset_1(sK4,sK0,sK1)
| spl15_1 ),
inference(resolution,[],[f380,f206]) ).
fof(f385,plain,
( $false
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f382,f164]) ).
fof(f386,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f528,plain,
k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4),
inference(resolution,[],[f278,f164]) ).
fof(f543,plain,
( ~ m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| m1_relset_1(sK4,sK0,sK1) ),
inference(superposition,[],[f204,f528]) ).
fof(f545,definition,
( spl15_7
<=> m1_relset_1(sK4,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f547,plain,
( m1_relset_1(sK4,sK0,sK1)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl15_8
<=> m2_relset_1(k4_relat_1(sK4),sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).
fof(f551,plain,
( ~ m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| spl15_8 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,plain,
( spl15_7
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f543,f549,f545]) ).
fof(f756,definition,
( spl15_18
<=> m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).
fof(f758,plain,
( m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1033,plain,
( m2_relset_1(sK4,sK0,sK1)
| ~ spl15_7 ),
inference(resolution,[],[f547,f202]) ).
fof(f1034,plain,
( $false
| ~ spl15_7 ),
inference(forward_subsumption_resolution,[],[f1033,f164]) ).
fof(f1035,plain,
~ spl15_7,
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1270,plain,
( m2_relset_1(sK4,sK0,sK1)
| m1_subset_1(sK3,k1_zfmisc_1(sK1))
| m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl15_2 ),
inference(resolution,[],[f368,f218]) ).
fof(f1281,plain,
( m1_subset_1(sK3,k1_zfmisc_1(sK1))
| m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f1270,f164]) ).
fof(f1282,plain,
( m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f1281,f163]) ).
fof(f1283,plain,
( m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| spl15_2 ),
inference(forward_demodulation,[],[f1282,f528]) ).
fof(f1471,plain,
( m1_subset_1(sK3,k1_zfmisc_1(sK1))
| m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl15_2 ),
inference(resolution,[],[f1283,f205]) ).
fof(f1474,plain,
( m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f1471,f163]) ).
fof(f1475,plain,
( spl15_18
| spl15_2 ),
inference(avatar_split_clause,[],[f1474,f216,f756]) ).
fof(f1536,plain,
( m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ spl15_18 ),
inference(resolution,[],[f758,f206]) ).
fof(f1539,plain,
( $false
| spl15_8
| ~ spl15_18 ),
inference(forward_subsumption_resolution,[],[f1536,f551]) ).
fof(f1540,plain,
( spl15_8
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
cnf(s1,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f219]) ).
cnf(s4,plain,
spl15_1,
inference(sat_conversion,[],[f386]) ).
cnf(s6,plain,
( spl15_7
| ~ spl15_8 ),
inference(sat_conversion,[],[f552]) ).
cnf(s18,plain,
~ spl15_7,
inference(sat_conversion,[],[f1035]) ).
cnf(s22,plain,
( spl15_2
| spl15_18 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s23,plain,
( spl15_8
| ~ spl15_18 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s24,plain,
~ spl15_8,
inference(rat,[],[s6,s18]) ).
cnf(s25,plain,
~ spl15_18,
inference(rat,[],[s23,s24]) ).
cnf(s26,plain,
spl15_2,
inference(rat,[],[s22,s25]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s26,s4]) ).
fof(f1541,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 05:36:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.49 % (2733109)Will run a generic schedule for satisfiability detection.
% 0.40/0.49 % (2733114)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3768329066_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.49 % (2733116)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1925866034:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.49 % (2733117)dis+10_1_sil=32000:sp=arity:random_seed=3192859685:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.49 % (2733118)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=312182388:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.49 % (2733119)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3362851638:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.49 % (2733120)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=437708428:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.49 % (2733115)% WARNING: option uhcvi not known.
% 0.40/0.49 % TRYING [1]
% 0.40/0.49 % TRYING [2]
% 0.40/0.49 % (2733115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1909485560:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.49 % TRYING [3]
% 0.40/0.49 % TRYING [4]
% 0.40/0.49 % (2733115) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2733109-2733115"...
% 0.40/0.49 % (2733115)...printing done.
% 0.40/0.49 % (2733115)Refutation found. Thanks to Tanya!
% 0.40/0.49 % SZS status Theorem for theBenchmark
% 0.40/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.49 % (2733115)------------------------------
% 0.40/0.49 % (2733115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.49 % (2733115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.49 % (2733115)CaDiCaL version: 2.1.3
% 0.40/0.49 % (2733115)Termination reason: Refutation
% 0.40/0.49 % (2733115)Time elapsed: 0.033 s
% 0.40/0.49 % (2733115)Peak memory usage: 13 MB
% 0.40/0.49 % (2733115)Instructions burned: 84 (million)
% 0.40/0.49 % (2733109)Success in time 0.076 s
% 0.40/0.49 % Vampire exiting
%------------------------------------------------------------------------------