%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU253+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:52:36 PM UTC 2026
% Result : Theorem 6.98s 1.70s
% Output : Refutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 138 ( 24 unt; 10 def)
% Number of atoms : 374 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 414 ( 178 ~; 198 |; 14 &)
% ( 15 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 105 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f15,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f36,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f40,conjecture,
! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f60,plain,
! [X0] :
( ( connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,relation_field(X0))
| ~ in(X2,relation_field(X0))
| X1 = X2
| in(ordered_pair(X1,X2),X0)
| in(ordered_pair(X2,X1),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X0,X1) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X0,X1) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f62]) ).
fof(f65,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f66,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f74,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f80,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0))
| ~ connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f89,plain,
! [X0] :
( ~ relation(X0)
| ~ in(ordered_pair(sK2(X0),sK1(X0)),X0)
| connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f90,plain,
! [X0] :
( ~ relation(X0)
| ~ in(ordered_pair(sK1(X0),sK2(X0)),X0)
| connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f91,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
! [X0] :
( in(sK2(X0),relation_field(X0))
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f93,plain,
! [X0] :
( in(sK1(X0),relation_field(X0))
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,X3)
| ~ in(X0,X2)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f108,plain,
! [X2,X0,X1] :
( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2)
| in(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f110,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X2))
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
relation(sK9),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
connected(sK9),
inference(cnf_transformation,[],[f66]) ).
fof(f115,plain,
~ connected(relation_restriction(sK9,sK8)),
inference(cnf_transformation,[],[f66]) ).
fof(f122,plain,
! [X0] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(sK1(X0),sK2(X0)),singleton(sK1(X0))),X0)
| connected(X0) ),
inference(definition_unfolding,[],[f90,f77]) ).
fof(f123,plain,
! [X0] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(sK2(X0),sK1(X0)),singleton(sK2(X0))),X0)
| connected(X0) ),
inference(definition_unfolding,[],[f89,f77]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0))
| ~ connected(X0) ),
inference(definition_unfolding,[],[f88,f77,f77]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,X3)
| ~ in(X0,X2)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3)) ),
inference(definition_unfolding,[],[f105,f77]) ).
fof(f217,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK2(relation_restriction(X0,X1)),X1)
| ~ relation(relation_restriction(X0,X1))
| connected(relation_restriction(X0,X1)) ),
inference(resolution,[],[f109,f92]) ).
fof(f218,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(relation_restriction(X0,X1))
| connected(relation_restriction(X0,X1)) ),
inference(resolution,[],[f109,f93]) ).
fof(f219,plain,
! [X0,X1] :
( connected(relation_restriction(X0,X1))
| in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f218,f80]) ).
fof(f220,plain,
! [X0,X1] :
( connected(relation_restriction(X0,X1))
| in(sK2(relation_restriction(X0,X1)),X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f217,f80]) ).
fof(f255,plain,
! [X0] :
( connected(X0)
| ~ relation(X0)
| ~ in(unordered_pair(singleton(sK1(X0)),unordered_pair(sK1(X0),sK2(X0))),X0) ),
inference(forward_demodulation,[],[f122,f74]) ).
fof(f258,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK2(X0)),unordered_pair(sK2(X0),sK1(X0))),X0)
| ~ relation(X0)
| connected(X0) ),
inference(forward_demodulation,[],[f123,f74]) ).
fof(f259,plain,
! [X0] :
( connected(X0)
| ~ relation(X0)
| ~ in(unordered_pair(singleton(sK2(X0)),unordered_pair(sK1(X0),sK2(X0))),X0) ),
inference(forward_demodulation,[],[f258,f74]) ).
fof(f263,plain,
( ~ relation(relation_restriction(sK9,sK8))
| ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
inference(resolution,[],[f255,f115]) ).
fof(f265,definition,
( spl10_3
<=> in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f267,plain,
( ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8))
| spl10_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl10_4
<=> relation(relation_restriction(sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f270,plain,
( relation(relation_restriction(sK9,sK8))
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ relation(relation_restriction(sK9,sK8))
| spl10_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f263,f269,f265]) ).
fof(f273,plain,
( ~ relation(relation_restriction(sK9,sK8))
| ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
inference(resolution,[],[f259,f115]) ).
fof(f274,plain,
( ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| spl10_3 ),
inference(resolution,[],[f267,f108]) ).
fof(f275,plain,
( ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f274,f113]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(forward_demodulation,[],[f125,f74]) ).
fof(f278,definition,
( spl10_5
<=> in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f280,plain,
( ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),relation_restriction(sK9,sK8))
| spl10_5 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f281,plain,
( ~ spl10_5
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f273,f269,f278]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| ~ in(X0,X3)
| ~ in(X1,X2) ),
inference(superposition,[],[f276,f74]) ).
fof(f289,plain,
( ~ relation(sK9)
| spl10_4 ),
inference(resolution,[],[f271,f80]) ).
fof(f290,plain,
( $false
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f289,f113]) ).
fof(f291,plain,
spl10_4,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f292,plain,
! [X2,X0,X1] :
( in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X0)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0))
| ~ connected(X0) ),
inference(forward_demodulation,[],[f124,f74]) ).
fof(f293,plain,
! [X2,X0,X1] :
( in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X0)
| ~ relation(X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0))
| ~ connected(X0) ),
inference(forward_demodulation,[],[f292,f74]) ).
fof(f305,plain,
! [X2,X0,X1] :
( in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| ~ relation(X2)
| X0 = X1
| ~ in(X1,relation_field(X2))
| ~ in(X0,relation_field(X2))
| ~ connected(X2) ),
inference(superposition,[],[f293,f74]) ).
fof(f309,plain,
( ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| spl10_5 ),
inference(resolution,[],[f280,f108]) ).
fof(f310,plain,
( ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f309,f113]) ).
fof(f469,plain,
( in(sK1(relation_restriction(sK9,sK8)),sK8)
| ~ relation(sK9) ),
inference(resolution,[],[f219,f115]) ).
fof(f472,plain,
in(sK1(relation_restriction(sK9,sK8)),sK8),
inference(forward_subsumption_resolution,[],[f469,f113]) ).
fof(f480,plain,
( in(sK2(relation_restriction(sK9,sK8)),sK8)
| ~ relation(sK9) ),
inference(resolution,[],[f220,f115]) ).
fof(f483,plain,
in(sK2(relation_restriction(sK9,sK8)),sK8),
inference(forward_subsumption_resolution,[],[f480,f113]) ).
fof(f999,definition,
( spl10_8
<=> in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f1001,plain,
( ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| spl10_8 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1003,definition,
( spl10_9
<=> in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f1005,plain,
( ~ in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| spl10_9 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( ~ spl10_8
| ~ spl10_9
| spl10_3 ),
inference(avatar_split_clause,[],[f275,f265,f1003,f999]) ).
fof(f1023,definition,
( spl10_10
<=> in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f1025,plain,
( ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| spl10_10 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1027,definition,
( spl10_11
<=> in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f1029,plain,
( ~ in(unordered_pair(singleton(sK2(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),cartesian_product2(sK8,sK8))
| spl10_11 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1030,plain,
( ~ spl10_10
| ~ spl10_11
| spl10_5 ),
inference(avatar_split_clause,[],[f310,f278,f1027,f1023]) ).
fof(f1031,plain,
( in(unordered_pair(singleton(sK1(relation_restriction(sK9,sK8))),unordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8)))),sK9)
| ~ relation(sK9)
| sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ connected(sK9)
| spl10_10 ),
inference(resolution,[],[f1025,f305]) ).
fof(f1032,plain,
( ~ relation(sK9)
| sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ connected(sK9)
| spl10_8
| spl10_10 ),
inference(forward_subsumption_resolution,[],[f1031,f1001]) ).
fof(f1033,plain,
( sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ connected(sK9)
| spl10_8
| spl10_10 ),
inference(forward_subsumption_resolution,[],[f1032,f113]) ).
fof(f1034,plain,
( sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| spl10_8
| spl10_10 ),
inference(forward_subsumption_resolution,[],[f1033,f114]) ).
fof(f11457,definition,
( spl10_29
<=> in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).
fof(f11459,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(sK9))
| spl10_29 ),
inference(avatar_component_clause,[],[f11457]) ).
fof(f11461,definition,
( spl10_30
<=> in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_30])],[avatar_definition]) ).
fof(f11463,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(sK9))
| spl10_30 ),
inference(avatar_component_clause,[],[f11461]) ).
fof(f11465,definition,
( spl10_31
<=> sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_31])],[avatar_definition]) ).
fof(f11467,plain,
( sK1(relation_restriction(sK9,sK8)) = sK2(relation_restriction(sK9,sK8))
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f11465]) ).
fof(f11468,plain,
( ~ spl10_29
| ~ spl10_30
| spl10_31
| spl10_8
| spl10_10 ),
inference(avatar_split_clause,[],[f1034,f1023,f999,f11465,f11461,f11457]) ).
fof(f11469,plain,
( ! [X0] :
( ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,X0)))
| ~ relation(sK9) )
| spl10_29 ),
inference(resolution,[],[f11459,f110]) ).
fof(f11473,plain,
( ! [X0] : ~ in(sK1(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,X0)))
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f11469,f113]) ).
fof(f12058,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| spl10_9 ),
inference(resolution,[],[f1005,f276]) ).
fof(f12095,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f12058,f483]) ).
fof(f12096,plain,
( $false
| spl10_9 ),
inference(forward_subsumption_resolution,[],[f12095,f472]) ).
fof(f12097,plain,
spl10_9,
inference(avatar_contradiction_clause,[],[f12096]) ).
fof(f12342,plain,
( ~ in(sK1(relation_restriction(sK9,sK8)),sK8)
| ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| spl10_11 ),
inference(resolution,[],[f1029,f287]) ).
fof(f12351,plain,
( ~ in(sK2(relation_restriction(sK9,sK8)),sK8)
| spl10_11 ),
inference(forward_subsumption_resolution,[],[f12342,f472]) ).
fof(f12352,plain,
( $false
| spl10_11 ),
inference(forward_subsumption_resolution,[],[f12351,f483]) ).
fof(f12353,plain,
spl10_11,
inference(avatar_contradiction_clause,[],[f12352]) ).
fof(f12421,plain,
( sK1(relation_restriction(sK9,sK8)) != sK1(relation_restriction(sK9,sK8))
| ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8))
| ~ spl10_31 ),
inference(superposition,[],[f91,f11467]) ).
fof(f12422,plain,
( ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8))
| ~ spl10_31 ),
inference(trivial_inequality_removal,[],[f12421]) ).
fof(f12423,plain,
( connected(relation_restriction(sK9,sK8))
| ~ spl10_4
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f12422,f270]) ).
fof(f12424,plain,
( $false
| ~ spl10_4
| ~ spl10_31 ),
inference(forward_subsumption_resolution,[],[f12423,f115]) ).
fof(f12425,plain,
( ~ spl10_4
| ~ spl10_31 ),
inference(avatar_contradiction_clause,[],[f12424]) ).
fof(f12600,plain,
( ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8))
| spl10_29 ),
inference(resolution,[],[f11473,f93]) ).
fof(f12605,plain,
( connected(relation_restriction(sK9,sK8))
| ~ spl10_4
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f12600,f270]) ).
fof(f12606,plain,
( $false
| ~ spl10_4
| spl10_29 ),
inference(forward_subsumption_resolution,[],[f12605,f115]) ).
fof(f12607,plain,
( ~ spl10_4
| spl10_29 ),
inference(avatar_contradiction_clause,[],[f12606]) ).
fof(f12664,plain,
( ! [X0] :
( ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,X0)))
| ~ relation(sK9) )
| spl10_30 ),
inference(resolution,[],[f11463,f110]) ).
fof(f12668,plain,
( ! [X0] : ~ in(sK2(relation_restriction(sK9,sK8)),relation_field(relation_restriction(sK9,X0)))
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f12664,f113]) ).
fof(f12843,plain,
( ~ relation(relation_restriction(sK9,sK8))
| connected(relation_restriction(sK9,sK8))
| spl10_30 ),
inference(resolution,[],[f12668,f92]) ).
fof(f12848,plain,
( connected(relation_restriction(sK9,sK8))
| ~ spl10_4
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f12843,f270]) ).
fof(f12849,plain,
( $false
| ~ spl10_4
| spl10_30 ),
inference(forward_subsumption_resolution,[],[f12848,f115]) ).
fof(f12850,plain,
( ~ spl10_4
| spl10_30 ),
inference(avatar_contradiction_clause,[],[f12849]) ).
cnf(s2,plain,
( ~ spl10_3
| ~ spl10_4 ),
inference(sat_conversion,[],[f272]) ).
cnf(s3,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f281]) ).
cnf(s4,plain,
spl10_4,
inference(sat_conversion,[],[f291]) ).
cnf(s6,plain,
( spl10_3
| ~ spl10_8
| ~ spl10_9 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s7,plain,
( spl10_5
| ~ spl10_10
| ~ spl10_11 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s21,plain,
( spl10_8
| spl10_10
| ~ spl10_29
| ~ spl10_30
| spl10_31 ),
inference(sat_conversion,[],[f11468]) ).
cnf(s25,plain,
spl10_9,
inference(sat_conversion,[],[f12097]) ).
cnf(s26,plain,
spl10_11,
inference(sat_conversion,[],[f12353]) ).
cnf(s27,plain,
( ~ spl10_4
| ~ spl10_31 ),
inference(sat_conversion,[],[f12425]) ).
cnf(s28,plain,
( ~ spl10_4
| spl10_29 ),
inference(sat_conversion,[],[f12607]) ).
cnf(s29,plain,
( ~ spl10_4
| spl10_30 ),
inference(sat_conversion,[],[f12850]) ).
cnf(s31,plain,
( spl10_5
| ~ spl10_10 ),
inference(rat,[],[s7,s26]) ).
cnf(s32,plain,
( spl10_3
| ~ spl10_8 ),
inference(rat,[],[s6,s25]) ).
cnf(s33,plain,
spl10_30,
inference(rat,[],[s29,s4]) ).
cnf(s34,plain,
spl10_29,
inference(rat,[],[s28,s4]) ).
cnf(s35,plain,
~ spl10_31,
inference(rat,[],[s27,s4]) ).
cnf(s37,plain,
~ spl10_5,
inference(rat,[],[s3,s4]) ).
cnf(s38,plain,
~ spl10_10,
inference(rat,[],[s31,s37]) ).
cnf(s39,plain,
spl10_8,
inference(rat,[],[s21,s35,s33,s34,s38]) ).
cnf(s40,plain,
spl10_3,
inference(rat,[],[s32,s39]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s2,s4,s40]) ).
fof(f12851,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU253+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:21:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 6.98/1.69 % (1865550)Will run a generic schedule for satisfiability detection.
% 6.98/1.69 % (1865559)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1116501269:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.98/1.69 % (1865556)% WARNING: option uhcvi not known.
% 6.98/1.69 % (1865555)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3183066009_2999 on theBenchmark for (2999ds/0Mi)
% 6.98/1.69 % (1865557)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2805959000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.98/1.69 % (1865556)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1542525155:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.98/1.69 % (1865558)dis+10_1_sil=32000:sp=arity:random_seed=1171007077:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.98/1.69 % (1865560)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=39139670:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.98/1.69 % (1865561)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=832426061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.98/1.70 % TRYING [1]
% 6.98/1.70 % TRYING [2]
% 6.98/1.70 % TRYING [3]
% 6.98/1.70 % TRYING [4]
% 6.98/1.70 % (1865559)Instruction limit reached!
% 6.98/1.70 % (1865559)------------------------------
% 6.98/1.70 % (1865559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865559)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865559)Termination reason: Instruction limit
% 6.98/1.70 % (1865559)Termination phase: Saturation
% 6.98/1.70 % (1865559)Time elapsed: 0.040 s
% 6.98/1.70 % (1865559)Peak memory usage: 13 MB
% 6.98/1.70 % (1865559)Instructions burned: 117 (million)
% 6.98/1.70 % (1865569)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4072538624:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.98/1.70 % TRYING [1]
% 6.98/1.70 % TRYING [2]
% 6.98/1.70 % TRYING [3]
% 6.98/1.70 % TRYING [4]
% 6.98/1.70 % (1865558)Instruction limit reached!
% 6.98/1.70 % (1865558)------------------------------
% 6.98/1.70 % (1865558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865558)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865558)Termination reason: Instruction limit
% 6.98/1.70 % (1865558)Termination phase: Saturation
% 6.98/1.70 % (1865558)Time elapsed: 0.066 s
% 6.98/1.70 % (1865558)Peak memory usage: 12 MB
% 6.98/1.70 % (1865558)Instructions burned: 108 (million)
% 6.98/1.70 % (1865560)Instruction limit reached!
% 6.98/1.70 % (1865560)------------------------------
% 6.98/1.70 % (1865560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865560)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865560)Termination reason: Instruction limit
% 6.98/1.70 % (1865560)Termination phase: Saturation
% 6.98/1.70 % (1865560)Time elapsed: 0.083 s
% 6.98/1.70 % (1865560)Peak memory usage: 13 MB
% 6.98/1.70 % (1865560)Instructions burned: 133 (million)
% 6.98/1.70 % (1865571)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3350068966:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.98/1.70 % (1865572)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3219455872:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.98/1.70 % (1865561)Instruction limit reached!
% 6.98/1.70 % (1865561)------------------------------
% 6.98/1.70 % (1865561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865561)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865561)Termination reason: Instruction limit
% 6.98/1.70 % (1865561)Termination phase: Saturation
% 6.98/1.70 % (1865561)Time elapsed: 0.104 s
% 6.98/1.70 % (1865561)Peak memory usage: 14 MB
% 6.98/1.70 % (1865561)Instructions burned: 160 (million)
% 6.98/1.70 % (1865575)ott-21_1_sil=16000:fs=off:random_seed=214723422:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.98/1.70 % (1865571)Instruction limit reached!
% 6.98/1.70 % (1865571)------------------------------
% 6.98/1.70 % (1865571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865571)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865571)Termination reason: Instruction limit
% 6.98/1.70 % (1865571)Termination phase: Saturation
% 6.98/1.70 % (1865571)Time elapsed: 0.083 s
% 6.98/1.70 % (1865571)Peak memory usage: 14 MB
% 6.98/1.70 % (1865571)Instructions burned: 132 (million)
% 6.98/1.70 % (1865577)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=435771587:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.98/1.70 % (1865575)Instruction limit reached!
% 6.98/1.70 % (1865575)------------------------------
% 6.98/1.70 % (1865575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865575)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865575)Termination reason: Instruction limit
% 6.98/1.70 % (1865575)Termination phase: Saturation
% 6.98/1.70 % (1865575)Time elapsed: 0.090 s
% 6.98/1.70 % (1865575)Peak memory usage: 12 MB
% 6.98/1.70 % (1865575)Instructions burned: 180 (million)
% 6.98/1.70 % (1865579)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1848500771:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.98/1.70 % TRYING [1]
% 6.98/1.70 % TRYING [2]
% 6.98/1.70 % TRYING [3]
% 6.98/1.70 % (1865569)Instruction limit reached!
% 6.98/1.70 % (1865569)------------------------------
% 6.98/1.70 % (1865569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865569)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865569)Termination reason: Instruction limit
% 6.98/1.70 % (1865569)Termination phase: Finite model building SAT solving
% 6.98/1.70 % (1865569)Time elapsed: 0.209 s
% 6.98/1.70 % (1865569)Peak memory usage: 15 MB
% 6.98/1.70 % (1865569)Instructions burned: 716 (million)
% 6.98/1.70 % TRYING [4]
% 6.98/1.70 % (1865581)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3585871573:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.98/1.70 % (1865572)Instruction limit reached!
% 6.98/1.70 % (1865572)------------------------------
% 6.98/1.70 % (1865572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865572)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865572)Termination reason: Instruction limit
% 6.98/1.70 % (1865572)Termination phase: Saturation
% 6.98/1.70 % (1865572)Time elapsed: 0.296 s
% 6.98/1.70 % (1865572)Peak memory usage: 17 MB
% 6.98/1.70 % (1865572)Instructions burned: 685 (million)
% 6.98/1.70 % (1865583)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1129761131:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.98/1.70 % TRYING [5]
% 6.98/1.70 % TRYING [14]
% 6.98/1.70 % (1865577)Instruction limit reached!
% 6.98/1.70 % (1865577)------------------------------
% 6.98/1.70 % (1865577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865577)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865577)Termination reason: Instruction limit
% 6.98/1.70 % (1865577)Termination phase: Saturation
% 6.98/1.70 % (1865577)Time elapsed: 0.322 s
% 6.98/1.70 % (1865577)Peak memory usage: 14 MB
% 6.98/1.70 % (1865577)Instructions burned: 478 (million)
% 6.98/1.70 % (1865585)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1874399415:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.98/1.70 % (1865581)Instruction limit reached!
% 6.98/1.70 % (1865581)------------------------------
% 6.98/1.70 % (1865581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865581)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865581)Termination reason: Instruction limit
% 6.98/1.70 % (1865581)Termination phase: Saturation
% 6.98/1.70 % (1865581)Time elapsed: 0.350 s
% 6.98/1.70 % (1865581)Peak memory usage: 22 MB
% 6.98/1.70 % (1865581)Instructions burned: 1181 (million)
% 6.98/1.70 % TRYING [5]
% 6.98/1.70 % (1865587)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=96752019:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.98/1.70 % (1865579)Instruction limit reached!
% 6.98/1.70 % (1865579)------------------------------
% 6.98/1.70 % (1865579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865579)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865579)Termination reason: Instruction limit
% 6.98/1.70 % (1865579)Termination phase: Finite model building SAT solving
% 6.98/1.70 % (1865579)Time elapsed: 0.479 s
% 6.98/1.70 % (1865579)Peak memory usage: 15 MB
% 6.98/1.70 % (1865579)Instructions burned: 865 (million)
% 6.98/1.70 % (1865583)Instruction limit reached!
% 6.98/1.70 % (1865583)------------------------------
% 6.98/1.70 % (1865583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865583)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865583)Termination reason: Instruction limit
% 6.98/1.70 % (1865583)Termination phase: Finite model building constraint generation
% 6.98/1.70 % (1865583)Time elapsed: 0.306 s
% 6.98/1.70 % (1865583)Peak memory usage: 71 MB
% 6.98/1.70 % (1865583)Instructions burned: 891 (million)
% 6.98/1.70 % (1865589)fmb+10_1_sil=64000:random_seed=65827129:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 6.98/1.70 % TRYING [1]
% 6.98/1.70 % TRYING [2]
% 6.98/1.70 % TRYING [3]
% 6.98/1.70 % (1865591)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2802948057:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 6.98/1.70 % TRYING [4]
% 6.98/1.70 % TRYING [20]
% 6.98/1.70 % (1865587)Instruction limit reached!
% 6.98/1.70 % (1865587)------------------------------
% 6.98/1.70 % (1865587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865587)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865587)Termination reason: Instruction limit
% 6.98/1.70 % (1865587)Termination phase: Saturation
% 6.98/1.70 % (1865587)Time elapsed: 0.264 s
% 6.98/1.70 % (1865587)Peak memory usage: 19 MB
% 6.98/1.70 % (1865587)Instructions burned: 880 (million)
% 6.98/1.70 % (1865585)Instruction limit reached!
% 6.98/1.70 % (1865585)------------------------------
% 6.98/1.70 % (1865585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865585)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865585)Termination reason: Instruction limit
% 6.98/1.70 % (1865585)Termination phase: Saturation
% 6.98/1.70 % (1865585)Time elapsed: 0.358 s
% 6.98/1.70 % (1865585)Peak memory usage: 15 MB
% 6.98/1.70 % (1865585)Instructions burned: 694 (million)
% 6.98/1.70 % (1865594)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3023078990:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 6.98/1.70 % (1865593)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2670219564:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.98/1.70 % TRYING [8]
% 6.98/1.70 % TRYING [5]
% 6.98/1.70 % (1865594) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1865550-1865594"...
% 6.98/1.70 % (1865594)...printing done.
% 6.98/1.70 % (1865594)Refutation found. Thanks to Tanya!
% 6.98/1.70 % SZS status Theorem for theBenchmark
% 6.98/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 6.98/1.70 % (1865594)------------------------------
% 6.98/1.70 % (1865594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.70 % (1865594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.70 % (1865594)CaDiCaL version: 2.1.3
% 6.98/1.70 % (1865594)Termination reason: Refutation
% 6.98/1.70 % (1865594)Time elapsed: 0.310 s
% 6.98/1.70 % (1865594)Peak memory usage: 17 MB
% 6.98/1.70 % (1865594)Instructions burned: 1098 (million)
% 6.98/1.70 % (1865550)Success in time 1.267 s
% 6.98/1.70 % Vampire exiting
%------------------------------------------------------------------------------